SlideShare ist ein Scribd-Unternehmen logo
1 von 26
PREDRAG JOVANOVI Ć AND LUKA  Č.  POPOVI Ć ASTRONOMICAL OBSERVATORY BELGRADE, SERBIA Gravitational Lensing Statistics and Cosmology
Outline ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Cosmology basics ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Cosmological parameters ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Wilkinson Microwave Anisotropy Probe (WMAP) The "angular spectrum" of the fluctuations in the WMAP full-sky map, showing the relative brightness of the "spots" in the map vs. the size of the spots. The shape of this curve contain a wealth of information about the history of the universe
Supernova Cosmology Project ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Constraining the cosmological parameters ,[object Object],[object Object]
Content of the Universe
Gravitational lensing
Einstein Ring Radius of a gravitational lens
Examples: QSO 2237+030 ( z= 1.695), also known as “Einstein cross” and lensing galaxy   ZW2237+030 ( z= 0.0394) RXJ1131-1231 PG 1115+080
Strong lensing: detection of distant galaxies ,[object Object],[object Object],[object Object]
Weak lensing: detection of dark matter unlensed lensed
Distribution of dark matter
The Hubble constant from  gravitational lens time delays Kochanek & Schechter, 2003, astro-ph/0306040
Courbin, 2003, astro-ph/0304497 HST Key Project : determination of the  H 0  by the systematic observations of Cepheid variable stars in several galaxies using HST
Gravitational lensing statistics ,[object Object],[object Object],[object Object],[object Object],[object Object]
Likelihood contours at the 68%, 90%, 95%, and 99% confidence levels. The dotted line marks spatially flat cosmologies The separation distribution of the 12 CLASS lenses Mitchell et al. 2005,  ApJ , 622, 81 Differential (thick)  and cumulative (thin) probability along the line of spatially flat cosmologies
Gravitational macrolensing optical depth ,[object Object],Zakharov, Popovi ć  and Jovanovi ć , 2004,  A&A , 881
Distribution of all QSOs and lensed QSOs in Veron & Veron Catalogue ,[object Object]
The ratio of lensed to total number of quasars and optical depth for three different flat cosmological models as a function of quasar redshift
Optical depth of cosmologically distributed gravitational microlenses (Zakharov, Popovi ć  and Jovanovi ć , 2004,  A&A , 881)
Optical depth of cosmologically distributed gravitational microlenses for three different values of   L
 
Problems with gravitational lensing statistics  ,[object Object],Large Synoptic Survey Telescope (LSST): 2013 SuperNova/Acceleration Probe (SNAP): 2013 Square Kilometre Array (SKA): 2015 James Webb Space Telescope (JWST): 2013 ,[object Object],[object Object],[object Object],[object Object]
Conclusions ,[object Object],[object Object],[object Object]

Weitere ähnliche Inhalte

Was ist angesagt?

The open cluster_ngc6520_and_the_nearby_dark_molecular_cloud_barnard_86
The open cluster_ngc6520_and_the_nearby_dark_molecular_cloud_barnard_86The open cluster_ngc6520_and_the_nearby_dark_molecular_cloud_barnard_86
The open cluster_ngc6520_and_the_nearby_dark_molecular_cloud_barnard_86
Sérgio Sacani
 
On some structural_features_of_the_metagalaxy
On some structural_features_of_the_metagalaxyOn some structural_features_of_the_metagalaxy
On some structural_features_of_the_metagalaxy
Sérgio Sacani
 
SJ-NASAResearchPoster_Symposium2016
SJ-NASAResearchPoster_Symposium2016SJ-NASAResearchPoster_Symposium2016
SJ-NASAResearchPoster_Symposium2016
Shane Johnson
 
Low surface brightness_imaging_of_the_magellanic_system_imprints_of_tidal_int...
Low surface brightness_imaging_of_the_magellanic_system_imprints_of_tidal_int...Low surface brightness_imaging_of_the_magellanic_system_imprints_of_tidal_int...
Low surface brightness_imaging_of_the_magellanic_system_imprints_of_tidal_int...
Sérgio Sacani
 
The Internal Structure of Asteroid (25143) Itokawa as Revealed by Detection o...
The Internal Structure of Asteroid (25143) Itokawa as Revealed by Detection o...The Internal Structure of Asteroid (25143) Itokawa as Revealed by Detection o...
The Internal Structure of Asteroid (25143) Itokawa as Revealed by Detection o...
WellingtonRodrigues2014
 
Deep Impact Poster Revised
Deep Impact Poster RevisedDeep Impact Poster Revised
Deep Impact Poster Revised
Alejandro Cota
 
Cold clumpy accretion_toward_an_active_supermasive_black_hole
Cold clumpy accretion_toward_an_active_supermasive_black_holeCold clumpy accretion_toward_an_active_supermasive_black_hole
Cold clumpy accretion_toward_an_active_supermasive_black_hole
Sérgio Sacani
 
The ASTRODEEP Frontier Fields catalogues II. Photometric redshifts and rest f...
The ASTRODEEP Frontier Fields catalogues II. Photometric redshifts and rest f...The ASTRODEEP Frontier Fields catalogues II. Photometric redshifts and rest f...
The ASTRODEEP Frontier Fields catalogues II. Photometric redshifts and rest f...
Sérgio Sacani
 
Dark energy by david spergel
Dark energy by david spergelDark energy by david spergel
Dark energy by david spergel
Kumar
 
The shadow _of_the_flying_saucer_a_very_low_temperature_for_large_dust_grains
The shadow _of_the_flying_saucer_a_very_low_temperature_for_large_dust_grainsThe shadow _of_the_flying_saucer_a_very_low_temperature_for_large_dust_grains
The shadow _of_the_flying_saucer_a_very_low_temperature_for_large_dust_grains
Sérgio Sacani
 
Studies of ngc_6720_with_calibrated_hst_wfc3_emission_line_filter_images
Studies of ngc_6720_with_calibrated_hst_wfc3_emission_line_filter_imagesStudies of ngc_6720_with_calibrated_hst_wfc3_emission_line_filter_images
Studies of ngc_6720_with_calibrated_hst_wfc3_emission_line_filter_images
Sérgio Sacani
 

Was ist angesagt? (19)

The shape of Fe Ka line emitted from relativistic accretion disc around AGN b...
The shape of Fe Ka line emitted from relativistic accretion disc around AGN b...The shape of Fe Ka line emitted from relativistic accretion disc around AGN b...
The shape of Fe Ka line emitted from relativistic accretion disc around AGN b...
 
The open cluster_ngc6520_and_the_nearby_dark_molecular_cloud_barnard_86
The open cluster_ngc6520_and_the_nearby_dark_molecular_cloud_barnard_86The open cluster_ngc6520_and_the_nearby_dark_molecular_cloud_barnard_86
The open cluster_ngc6520_and_the_nearby_dark_molecular_cloud_barnard_86
 
The canarias einstein_ring_a_newly_discovered_optical_einstein_ring
The canarias einstein_ring_a_newly_discovered_optical_einstein_ringThe canarias einstein_ring_a_newly_discovered_optical_einstein_ring
The canarias einstein_ring_a_newly_discovered_optical_einstein_ring
 
On some structural_features_of_the_metagalaxy
On some structural_features_of_the_metagalaxyOn some structural_features_of_the_metagalaxy
On some structural_features_of_the_metagalaxy
 
SJ-NASAResearchPoster_Symposium2016
SJ-NASAResearchPoster_Symposium2016SJ-NASAResearchPoster_Symposium2016
SJ-NASAResearchPoster_Symposium2016
 
Eso1221
Eso1221Eso1221
Eso1221
 
Astana spherex
Astana spherexAstana spherex
Astana spherex
 
Low surface brightness_imaging_of_the_magellanic_system_imprints_of_tidal_int...
Low surface brightness_imaging_of_the_magellanic_system_imprints_of_tidal_int...Low surface brightness_imaging_of_the_magellanic_system_imprints_of_tidal_int...
Low surface brightness_imaging_of_the_magellanic_system_imprints_of_tidal_int...
 
The Internal Structure of Asteroid (25143) Itokawa as Revealed by Detection o...
The Internal Structure of Asteroid (25143) Itokawa as Revealed by Detection o...The Internal Structure of Asteroid (25143) Itokawa as Revealed by Detection o...
The Internal Structure of Asteroid (25143) Itokawa as Revealed by Detection o...
 
Deep Impact Poster Revised
Deep Impact Poster RevisedDeep Impact Poster Revised
Deep Impact Poster Revised
 
Pawan Kumar Relativistic jets in tidal disruption events
Pawan Kumar	Relativistic jets in tidal disruption eventsPawan Kumar	Relativistic jets in tidal disruption events
Pawan Kumar Relativistic jets in tidal disruption events
 
Cold clumpy accretion_toward_an_active_supermasive_black_hole
Cold clumpy accretion_toward_an_active_supermasive_black_holeCold clumpy accretion_toward_an_active_supermasive_black_hole
Cold clumpy accretion_toward_an_active_supermasive_black_hole
 
The ASTRODEEP Frontier Fields catalogues II. Photometric redshifts and rest f...
The ASTRODEEP Frontier Fields catalogues II. Photometric redshifts and rest f...The ASTRODEEP Frontier Fields catalogues II. Photometric redshifts and rest f...
The ASTRODEEP Frontier Fields catalogues II. Photometric redshifts and rest f...
 
A. Zakharov: Supermassive Black Hole at the Galactic Center
A. Zakharov: Supermassive Black Hole at the Galactic CenterA. Zakharov: Supermassive Black Hole at the Galactic Center
A. Zakharov: Supermassive Black Hole at the Galactic Center
 
Dark energy by david spergel
Dark energy by david spergelDark energy by david spergel
Dark energy by david spergel
 
The shadow _of_the_flying_saucer_a_very_low_temperature_for_large_dust_grains
The shadow _of_the_flying_saucer_a_very_low_temperature_for_large_dust_grainsThe shadow _of_the_flying_saucer_a_very_low_temperature_for_large_dust_grains
The shadow _of_the_flying_saucer_a_very_low_temperature_for_large_dust_grains
 
437FINALREPORTmnras
437FINALREPORTmnras437FINALREPORTmnras
437FINALREPORTmnras
 
Studies of ngc_6720_with_calibrated_hst_wfc3_emission_line_filter_images
Studies of ngc_6720_with_calibrated_hst_wfc3_emission_line_filter_imagesStudies of ngc_6720_with_calibrated_hst_wfc3_emission_line_filter_images
Studies of ngc_6720_with_calibrated_hst_wfc3_emission_line_filter_images
 
Deep chandra observations_of_pictor_a
Deep chandra observations_of_pictor_aDeep chandra observations_of_pictor_a
Deep chandra observations_of_pictor_a
 

Ähnlich wie P. Jovanovic/L. Popovic: Gravitational Lensing Statistics and Cosmology

Orbital configurations of spaceborne interferometers for studying photon ring...
Orbital configurations of spaceborne interferometers for studying photon ring...Orbital configurations of spaceborne interferometers for studying photon ring...
Orbital configurations of spaceborne interferometers for studying photon ring...
Sérgio Sacani
 
The atacama cosmology_telescope_measuring_radio_galaxy_bias_through_cross_cor...
The atacama cosmology_telescope_measuring_radio_galaxy_bias_through_cross_cor...The atacama cosmology_telescope_measuring_radio_galaxy_bias_through_cross_cor...
The atacama cosmology_telescope_measuring_radio_galaxy_bias_through_cross_cor...
Sérgio Sacani
 
ALMA Measurement of 10 kpc-scale Lensing Power Spectra towards the Lensed Qua...
ALMA Measurement of 10 kpc-scale Lensing Power Spectra towards the Lensed Qua...ALMA Measurement of 10 kpc-scale Lensing Power Spectra towards the Lensed Qua...
ALMA Measurement of 10 kpc-scale Lensing Power Spectra towards the Lensed Qua...
Sérgio Sacani
 
Spiral Quasar Census
Spiral Quasar CensusSpiral Quasar Census
Spiral Quasar Census
Veekash Patel
 
The vista variables_in_the_via_lactea_survey_a first_glance_on_stellar_variabi...
The vista variables_in_the_via_lactea_survey_a first_glance_on_stellar_variabi...The vista variables_in_the_via_lactea_survey_a first_glance_on_stellar_variabi...
The vista variables_in_the_via_lactea_survey_a first_glance_on_stellar_variabi...
Sérgio Sacani
 
Measuring the Hubble constant with kilonovae using the expanding photosphere ...
Measuring the Hubble constant with kilonovae using the expanding photosphere ...Measuring the Hubble constant with kilonovae using the expanding photosphere ...
Measuring the Hubble constant with kilonovae using the expanding photosphere ...
Sérgio Sacani
 
Dissecting x ray_emitting_gas_around_the_center_of_our_galaxy
Dissecting x ray_emitting_gas_around_the_center_of_our_galaxyDissecting x ray_emitting_gas_around_the_center_of_our_galaxy
Dissecting x ray_emitting_gas_around_the_center_of_our_galaxy
Sérgio Sacani
 
A gravitational-wave standard siren measurement of the Hubble constant
A gravitational-wave standard siren measurement of the Hubble constantA gravitational-wave standard siren measurement of the Hubble constant
A gravitational-wave standard siren measurement of the Hubble constant
Sérgio Sacani
 
A spectroscopic sample_of_massive_galaxies
A spectroscopic sample_of_massive_galaxiesA spectroscopic sample_of_massive_galaxies
A spectroscopic sample_of_massive_galaxies
Sérgio Sacani
 
Deja vu all_over_again_the_reapperance_of_supernova_refsdal
Deja vu all_over_again_the_reapperance_of_supernova_refsdalDeja vu all_over_again_the_reapperance_of_supernova_refsdal
Deja vu all_over_again_the_reapperance_of_supernova_refsdal
Sérgio Sacani
 

Ähnlich wie P. Jovanovic/L. Popovic: Gravitational Lensing Statistics and Cosmology (20)

Milan Milošević "The shape of Fe Kα line emitted from relativistic accretion ...
Milan Milošević "The shape of Fe Kα line emitted from relativistic accretion ...Milan Milošević "The shape of Fe Kα line emitted from relativistic accretion ...
Milan Milošević "The shape of Fe Kα line emitted from relativistic accretion ...
 
Cosmography using strongly lensed gravitational waves from binary black holes
Cosmography using strongly lensed gravitational waves from binary black holesCosmography using strongly lensed gravitational waves from binary black holes
Cosmography using strongly lensed gravitational waves from binary black holes
 
P. Jovanović: Supermassive Binary Black Hole - Possible Observational Effects...
P. Jovanović: Supermassive Binary Black Hole - Possible Observational Effects...P. Jovanović: Supermassive Binary Black Hole - Possible Observational Effects...
P. Jovanović: Supermassive Binary Black Hole - Possible Observational Effects...
 
Cosmological parameter
Cosmological parameterCosmological parameter
Cosmological parameter
 
Orbital configurations of spaceborne interferometers for studying photon ring...
Orbital configurations of spaceborne interferometers for studying photon ring...Orbital configurations of spaceborne interferometers for studying photon ring...
Orbital configurations of spaceborne interferometers for studying photon ring...
 
The atacama cosmology_telescope_measuring_radio_galaxy_bias_through_cross_cor...
The atacama cosmology_telescope_measuring_radio_galaxy_bias_through_cross_cor...The atacama cosmology_telescope_measuring_radio_galaxy_bias_through_cross_cor...
The atacama cosmology_telescope_measuring_radio_galaxy_bias_through_cross_cor...
 
ALMA Measurement of 10 kpc-scale Lensing Power Spectra towards the Lensed Qua...
ALMA Measurement of 10 kpc-scale Lensing Power Spectra towards the Lensed Qua...ALMA Measurement of 10 kpc-scale Lensing Power Spectra towards the Lensed Qua...
ALMA Measurement of 10 kpc-scale Lensing Power Spectra towards the Lensed Qua...
 
aasposter
aasposteraasposter
aasposter
 
Spiral Quasar Census
Spiral Quasar CensusSpiral Quasar Census
Spiral Quasar Census
 
The vista variables_in_the_via_lactea_survey_a first_glance_on_stellar_variabi...
The vista variables_in_the_via_lactea_survey_a first_glance_on_stellar_variabi...The vista variables_in_the_via_lactea_survey_a first_glance_on_stellar_variabi...
The vista variables_in_the_via_lactea_survey_a first_glance_on_stellar_variabi...
 
A 2 4_determination_of_the_local_value_of_the_hubble_constant
A 2 4_determination_of_the_local_value_of_the_hubble_constantA 2 4_determination_of_the_local_value_of_the_hubble_constant
A 2 4_determination_of_the_local_value_of_the_hubble_constant
 
Measuring the Hubble constant with kilonovae using the expanding photosphere ...
Measuring the Hubble constant with kilonovae using the expanding photosphere ...Measuring the Hubble constant with kilonovae using the expanding photosphere ...
Measuring the Hubble constant with kilonovae using the expanding photosphere ...
 
Dissecting x ray_emitting_gas_around_the_center_of_our_galaxy
Dissecting x ray_emitting_gas_around_the_center_of_our_galaxyDissecting x ray_emitting_gas_around_the_center_of_our_galaxy
Dissecting x ray_emitting_gas_around_the_center_of_our_galaxy
 
A gravitational-wave standard siren measurement of the Hubble constant
A gravitational-wave standard siren measurement of the Hubble constantA gravitational-wave standard siren measurement of the Hubble constant
A gravitational-wave standard siren measurement of the Hubble constant
 
First wide field-of-view X-ray observations by a lobster eye focusing telesco...
First wide field-of-view X-ray observations by a lobster eye focusing telesco...First wide field-of-view X-ray observations by a lobster eye focusing telesco...
First wide field-of-view X-ray observations by a lobster eye focusing telesco...
 
A spectroscopic sample_of_massive_galaxies
A spectroscopic sample_of_massive_galaxiesA spectroscopic sample_of_massive_galaxies
A spectroscopic sample_of_massive_galaxies
 
Deja vu all_over_again_the_reapperance_of_supernova_refsdal
Deja vu all_over_again_the_reapperance_of_supernova_refsdalDeja vu all_over_again_the_reapperance_of_supernova_refsdal
Deja vu all_over_again_the_reapperance_of_supernova_refsdal
 
An ultraluminous quasar_with_a_twelve_billion_solar_mass_black_hole_at_redshi...
An ultraluminous quasar_with_a_twelve_billion_solar_mass_black_hole_at_redshi...An ultraluminous quasar_with_a_twelve_billion_solar_mass_black_hole_at_redshi...
An ultraluminous quasar_with_a_twelve_billion_solar_mass_black_hole_at_redshi...
 
SPECTROSCOPIC CONFIRMATION OF THE EXISTENCE OF LARGE, DIFFUSE GALAXIES IN THE...
SPECTROSCOPIC CONFIRMATION OF THE EXISTENCE OF LARGE, DIFFUSE GALAXIES IN THE...SPECTROSCOPIC CONFIRMATION OF THE EXISTENCE OF LARGE, DIFFUSE GALAXIES IN THE...
SPECTROSCOPIC CONFIRMATION OF THE EXISTENCE OF LARGE, DIFFUSE GALAXIES IN THE...
 
Interpreting SDSS extragalactic data in the era of JWST
Interpreting SDSS extragalactic data in the era of JWSTInterpreting SDSS extragalactic data in the era of JWST
Interpreting SDSS extragalactic data in the era of JWST
 

Mehr von SEENET-MTP

SEENET-MTP Booklet - 15 years
SEENET-MTP Booklet - 15 yearsSEENET-MTP Booklet - 15 years
SEENET-MTP Booklet - 15 years
SEENET-MTP
 

Mehr von SEENET-MTP (20)

SEENET-MTP Booklet - 15 years
SEENET-MTP Booklet - 15 yearsSEENET-MTP Booklet - 15 years
SEENET-MTP Booklet - 15 years
 
Ivan Dimitrijević "Nonlocal cosmology"
Ivan Dimitrijević "Nonlocal cosmology"Ivan Dimitrijević "Nonlocal cosmology"
Ivan Dimitrijević "Nonlocal cosmology"
 
Dragoljub Dimitrijević "Tachyon Inflation in the RSII Framework"
Dragoljub Dimitrijević "Tachyon Inflation in the RSII Framework"Dragoljub Dimitrijević "Tachyon Inflation in the RSII Framework"
Dragoljub Dimitrijević "Tachyon Inflation in the RSII Framework"
 
Vesna Borka Jovanović "Constraining Scalar-Tensor gravity models by S2 star o...
Vesna Borka Jovanović "Constraining Scalar-Tensor gravity models by S2 star o...Vesna Borka Jovanović "Constraining Scalar-Tensor gravity models by S2 star o...
Vesna Borka Jovanović "Constraining Scalar-Tensor gravity models by S2 star o...
 
Elena Mirela Babalic "Generalized alpha-attractor models for hyperbolic surfa...
Elena Mirela Babalic "Generalized alpha-attractor models for hyperbolic surfa...Elena Mirela Babalic "Generalized alpha-attractor models for hyperbolic surfa...
Elena Mirela Babalic "Generalized alpha-attractor models for hyperbolic surfa...
 
Dragan Huterer "Novi pogledi na svemir"
Dragan Huterer "Novi pogledi na svemir"Dragan Huterer "Novi pogledi na svemir"
Dragan Huterer "Novi pogledi na svemir"
 
Mihai Visinescu "Action-angle variables for geodesic motion on resolved metri...
Mihai Visinescu "Action-angle variables for geodesic motion on resolved metri...Mihai Visinescu "Action-angle variables for geodesic motion on resolved metri...
Mihai Visinescu "Action-angle variables for geodesic motion on resolved metri...
 
Sabin Stoica "Double beta decay and neutrino properties"
Sabin Stoica "Double beta decay and neutrino properties"Sabin Stoica "Double beta decay and neutrino properties"
Sabin Stoica "Double beta decay and neutrino properties"
 
Yurri Sitenko "Boundary effects for magnetized quantum matter in particle and...
Yurri Sitenko "Boundary effects for magnetized quantum matter in particle and...Yurri Sitenko "Boundary effects for magnetized quantum matter in particle and...
Yurri Sitenko "Boundary effects for magnetized quantum matter in particle and...
 
Predrag Milenović "Physics potential of HE/HL-LHC and future circular"
Predrag Milenović "Physics potential of HE/HL-LHC and future circular"Predrag Milenović "Physics potential of HE/HL-LHC and future circular"
Predrag Milenović "Physics potential of HE/HL-LHC and future circular"
 
Marija Dimitrijević Ćirić "Matter Fields in SO(2,3)⋆ Model of Noncommutative ...
Marija Dimitrijević Ćirić "Matter Fields in SO(2,3)⋆ Model of Noncommutative ...Marija Dimitrijević Ćirić "Matter Fields in SO(2,3)⋆ Model of Noncommutative ...
Marija Dimitrijević Ćirić "Matter Fields in SO(2,3)⋆ Model of Noncommutative ...
 
Zvonimir Vlah "Lagrangian perturbation theory for large scale structure forma...
Zvonimir Vlah "Lagrangian perturbation theory for large scale structure forma...Zvonimir Vlah "Lagrangian perturbation theory for large scale structure forma...
Zvonimir Vlah "Lagrangian perturbation theory for large scale structure forma...
 
Vitaly Vanchurin "General relativity from non-equilibrium thermodynamics of q...
Vitaly Vanchurin "General relativity from non-equilibrium thermodynamics of q...Vitaly Vanchurin "General relativity from non-equilibrium thermodynamics of q...
Vitaly Vanchurin "General relativity from non-equilibrium thermodynamics of q...
 
Sergey Sibiryakov "Galactic rotation curves vs. ultra-light dark matter: Impl...
Sergey Sibiryakov "Galactic rotation curves vs. ultra-light dark matter: Impl...Sergey Sibiryakov "Galactic rotation curves vs. ultra-light dark matter: Impl...
Sergey Sibiryakov "Galactic rotation curves vs. ultra-light dark matter: Impl...
 
Radoslav Rashkov "Integrable structures in low-dimensional holography and cos...
Radoslav Rashkov "Integrable structures in low-dimensional holography and cos...Radoslav Rashkov "Integrable structures in low-dimensional holography and cos...
Radoslav Rashkov "Integrable structures in low-dimensional holography and cos...
 
Nikola Godinović "The very high energy gamma ray astronomy"
Nikola Godinović "The very high energy gamma ray astronomy"Nikola Godinović "The very high energy gamma ray astronomy"
Nikola Godinović "The very high energy gamma ray astronomy"
 
Miroljub Dugić "The concept of Local Time. Quantum-mechanical and cosmologica...
Miroljub Dugić "The concept of Local Time. Quantum-mechanical and cosmologica...Miroljub Dugić "The concept of Local Time. Quantum-mechanical and cosmologica...
Miroljub Dugić "The concept of Local Time. Quantum-mechanical and cosmologica...
 
Cemsinan Deliduman "Astrophysics with Weyl Gravity"
Cemsinan Deliduman "Astrophysics with Weyl Gravity"Cemsinan Deliduman "Astrophysics with Weyl Gravity"
Cemsinan Deliduman "Astrophysics with Weyl Gravity"
 
Radu Constantinescu "Scientific research: Excellence in International context"
Radu Constantinescu "Scientific research: Excellence in International context"Radu Constantinescu "Scientific research: Excellence in International context"
Radu Constantinescu "Scientific research: Excellence in International context"
 
Loriano Bonora "HS theories from effective actions"
Loriano Bonora "HS theories from effective actions"Loriano Bonora "HS theories from effective actions"
Loriano Bonora "HS theories from effective actions"
 

Kürzlich hochgeladen

1029 - Danh muc Sach Giao Khoa 10 . pdf
1029 -  Danh muc Sach Giao Khoa 10 . pdf1029 -  Danh muc Sach Giao Khoa 10 . pdf
1029 - Danh muc Sach Giao Khoa 10 . pdf
QucHHunhnh
 
The basics of sentences session 3pptx.pptx
The basics of sentences session 3pptx.pptxThe basics of sentences session 3pptx.pptx
The basics of sentences session 3pptx.pptx
heathfieldcps1
 
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in DelhiRussian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
kauryashika82
 

Kürzlich hochgeladen (20)

Application orientated numerical on hev.ppt
Application orientated numerical on hev.pptApplication orientated numerical on hev.ppt
Application orientated numerical on hev.ppt
 
Mehran University Newsletter Vol-X, Issue-I, 2024
Mehran University Newsletter Vol-X, Issue-I, 2024Mehran University Newsletter Vol-X, Issue-I, 2024
Mehran University Newsletter Vol-X, Issue-I, 2024
 
Holdier Curriculum Vitae (April 2024).pdf
Holdier Curriculum Vitae (April 2024).pdfHoldier Curriculum Vitae (April 2024).pdf
Holdier Curriculum Vitae (April 2024).pdf
 
This PowerPoint helps students to consider the concept of infinity.
This PowerPoint helps students to consider the concept of infinity.This PowerPoint helps students to consider the concept of infinity.
This PowerPoint helps students to consider the concept of infinity.
 
1029 - Danh muc Sach Giao Khoa 10 . pdf
1029 -  Danh muc Sach Giao Khoa 10 . pdf1029 -  Danh muc Sach Giao Khoa 10 . pdf
1029 - Danh muc Sach Giao Khoa 10 . pdf
 
microwave assisted reaction. General introduction
microwave assisted reaction. General introductionmicrowave assisted reaction. General introduction
microwave assisted reaction. General introduction
 
Basic Civil Engineering first year Notes- Chapter 4 Building.pptx
Basic Civil Engineering first year Notes- Chapter 4 Building.pptxBasic Civil Engineering first year Notes- Chapter 4 Building.pptx
Basic Civil Engineering first year Notes- Chapter 4 Building.pptx
 
Sociology 101 Demonstration of Learning Exhibit
Sociology 101 Demonstration of Learning ExhibitSociology 101 Demonstration of Learning Exhibit
Sociology 101 Demonstration of Learning Exhibit
 
The basics of sentences session 3pptx.pptx
The basics of sentences session 3pptx.pptxThe basics of sentences session 3pptx.pptx
The basics of sentences session 3pptx.pptx
 
INDIA QUIZ 2024 RLAC DELHI UNIVERSITY.pptx
INDIA QUIZ 2024 RLAC DELHI UNIVERSITY.pptxINDIA QUIZ 2024 RLAC DELHI UNIVERSITY.pptx
INDIA QUIZ 2024 RLAC DELHI UNIVERSITY.pptx
 
Unit-V; Pricing (Pharma Marketing Management).pptx
Unit-V; Pricing (Pharma Marketing Management).pptxUnit-V; Pricing (Pharma Marketing Management).pptx
Unit-V; Pricing (Pharma Marketing Management).pptx
 
Measures of Central Tendency: Mean, Median and Mode
Measures of Central Tendency: Mean, Median and ModeMeasures of Central Tendency: Mean, Median and Mode
Measures of Central Tendency: Mean, Median and Mode
 
Class 11th Physics NEET formula sheet pdf
Class 11th Physics NEET formula sheet pdfClass 11th Physics NEET formula sheet pdf
Class 11th Physics NEET formula sheet pdf
 
ICT role in 21st century education and it's challenges.
ICT role in 21st century education and it's challenges.ICT role in 21st century education and it's challenges.
ICT role in 21st century education and it's challenges.
 
Web & Social Media Analytics Previous Year Question Paper.pdf
Web & Social Media Analytics Previous Year Question Paper.pdfWeb & Social Media Analytics Previous Year Question Paper.pdf
Web & Social Media Analytics Previous Year Question Paper.pdf
 
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
 
Role Of Transgenic Animal In Target Validation-1.pptx
Role Of Transgenic Animal In Target Validation-1.pptxRole Of Transgenic Animal In Target Validation-1.pptx
Role Of Transgenic Animal In Target Validation-1.pptx
 
Ecological Succession. ( ECOSYSTEM, B. Pharmacy, 1st Year, Sem-II, Environmen...
Ecological Succession. ( ECOSYSTEM, B. Pharmacy, 1st Year, Sem-II, Environmen...Ecological Succession. ( ECOSYSTEM, B. Pharmacy, 1st Year, Sem-II, Environmen...
Ecological Succession. ( ECOSYSTEM, B. Pharmacy, 1st Year, Sem-II, Environmen...
 
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in DelhiRussian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
 
General Principles of Intellectual Property: Concepts of Intellectual Proper...
General Principles of Intellectual Property: Concepts of Intellectual  Proper...General Principles of Intellectual Property: Concepts of Intellectual  Proper...
General Principles of Intellectual Property: Concepts of Intellectual Proper...
 

P. Jovanovic/L. Popovic: Gravitational Lensing Statistics and Cosmology

  • 1. PREDRAG JOVANOVI Ć AND LUKA Č. POPOVI Ć ASTRONOMICAL OBSERVATORY BELGRADE, SERBIA Gravitational Lensing Statistics and Cosmology
  • 2.
  • 3.
  • 4.
  • 5. Wilkinson Microwave Anisotropy Probe (WMAP) The "angular spectrum" of the fluctuations in the WMAP full-sky map, showing the relative brightness of the "spots" in the map vs. the size of the spots. The shape of this curve contain a wealth of information about the history of the universe
  • 6.
  • 7.
  • 8. Content of the Universe
  • 10. Einstein Ring Radius of a gravitational lens
  • 11. Examples: QSO 2237+030 ( z= 1.695), also known as “Einstein cross” and lensing galaxy ZW2237+030 ( z= 0.0394) RXJ1131-1231 PG 1115+080
  • 12.
  • 13. Weak lensing: detection of dark matter unlensed lensed
  • 15. The Hubble constant from gravitational lens time delays Kochanek & Schechter, 2003, astro-ph/0306040
  • 16. Courbin, 2003, astro-ph/0304497 HST Key Project : determination of the H 0 by the systematic observations of Cepheid variable stars in several galaxies using HST
  • 17.
  • 18. Likelihood contours at the 68%, 90%, 95%, and 99% confidence levels. The dotted line marks spatially flat cosmologies The separation distribution of the 12 CLASS lenses Mitchell et al. 2005, ApJ , 622, 81 Differential (thick) and cumulative (thin) probability along the line of spatially flat cosmologies
  • 19.
  • 20.
  • 21. The ratio of lensed to total number of quasars and optical depth for three different flat cosmological models as a function of quasar redshift
  • 22. Optical depth of cosmologically distributed gravitational microlenses (Zakharov, Popovi ć and Jovanovi ć , 2004, A&A , 881)
  • 23. Optical depth of cosmologically distributed gravitational microlenses for three different values of  L
  • 24.  
  • 25.
  • 26.