Improved Cosmological Constraints from Gravitational Lens Statistics

Abstract

We combine the Cosmic Lens All-Sky Survey (CLASS) with new Sloan Digital Sky Survey (SDSS) data on the local velocity dispersion distribution function of E/S0 galaxies, $\varphi (\sigma )$, to derive lens statistics constraints on ${\Omega }_{\Lambda }$ and ${\Omega }_m$. Previous studies of this kind relied on a combination of the E/S0 galaxy luminosity function and the Faber-Jackson relation to characterize the lens galaxy population. However, ignoring dispersion in the Faber-Jackson relation leads to a biased estimate of $\varphi (\sigma )$ and therefore biased and overconfident constraints on the cosmological parameters. The measured velocity dispersion function from a large sample of E/S0 galaxies provides a more reliable method for probing cosmology with strong lens statistics. Our new constraints are in good agreement with recent results from the redshift-magnitude relation of Type Ia supernovae. Adopting the traditional assumption that the E/S0 velocity function is constant in comoving units, we find a maximum likelihood estimate of ${\Omega }_{\Lambda }=0.74$--0.78 for a spatially flat unvierse (where the range reflects uncertainty in the number of E/S0 lenses in the CLASS sample), and a 95% confidence upper bound of ${\Omega }_{\Lambda }<0.86$. If $\varphi (\sigma )$ instead evolves in accord with extended Press-Schechter theory, then the maximum likelihood estimate for ${\Omega }_{\Lambda }$ becomes 0.72--0.78, with the 95% confidence upper bound ${\Omega }_{\Lambda }<0.89$. Even without assuming flatness, lensing provides independent confirmation of the evidence from Type Ia supernovae for a nonzero dark energy component in the universe.

35 pages, 15 figures, to be published in ApJ

References in corpus (82)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Large scale bias and the peak background split
• Statistical Properties of X-ray Clusters: Analytic and Numerical Comparisons
• Ellipsoidal collapse and an improved model for the number and spatial distribution of dark matter haloes
• Cosmological Results from High-z Supernovae
• Mass function of dark matter halos
• Color Separation of Galaxy Types in the Sloan Digital Sky Survey Imaging Data
• Quantifying the bimodal color-magnitude distribution of galaxies
• The Galaxy Luminosity Function and Luminosity Density at Redshift z=0.1
• Semi-Analytic Modelling of Galaxy Formation: The Local Universe
• Clustering of Galaxies in a Hierarchical Universe: I. Methods and Results at z=0
• What Shapes the Luminosity Function of Galaxies?
• A Recipe for Galaxy Formation Shaun Cole
• The Broad-band Optical Properties of Galaxies with Redshifts 0.0 < z < 0.2
• Merger rates in hierarchical models of galaxy formation. II: Comparison with N-body simulations
• The Luminosity Function of Galaxies in SDSS Commissioning Data
• Dynamical family properties and dark halo scaling relations of giant elliptical galaxies
• The 2dF Galaxy Redshift Survey: The b_J-band galaxy luminosity function and survey selection function
• Massive Dark-matter halos and Evolution of Early-type Galaxies to z=1
• Is There A Cosmological Constant?
• The Cosmic Lens All-Sky Survey: I. Source selection and observations
• Dynamical Modeling of Velocity Profiles: The Dark Halo Around the Elliptical Galaxy NGC2434
• The Cosmic Lens All-Sky Survey:II. Gravitational lens candidate selection and follow-up
• The 2dF Galaxy Redshift Survey: Galaxy luminosity functions per spectral type
• Shear and Ellipticity in Gravitational Lenses
• Early-type galaxies in the SDSS. I. The sample
• Galaxy Number Counts from the Sloan Digital Sky Survey Commissioning Data
• The internal structure and formation of early-type galaxies: the gravitational--lens system MG2016+112 at z=1.004
• The velocity dispersion function of early-type galaxies
• The Optical Properties of Gravitational Lens Galaxies as a Probe of Galaxy Structure and Evolution
• The Structure and Dynamics of Luminous and Dark Matter in the Early-Type Lens Galaxy of 0047-281 at z=0.485
• The CNOC2 Field Galaxy Luminosity Function I: A Description of Luminosity Function Evolution
• The Galaxy Luminosity Function at z < 0.05: Dependence on Morphology
• Gravitational Lensing as a Probe of Quintessence
• Limits on Cosmological Models From Radio-Selected Gravitational Lenses
• Colors, magnitudes and velocity dispersions in early-type galaxies: Implications for galaxy ages and metallicities
• The Fundamental Plane of Gravitational Lens Galaxies and The Evolution of Early-Type Galaxies in Low Density Environments
• The DEEP Groth Strip Survey X: Number Density and Luminosity Function of Field E/S0 Galaxies at z < 1
• Constraints on Cosmological Parameters from the Analysis of the Cosmic Lens All Sky Survey Radio-Selected Gravitational Lens Statistics
• Self-Similar Models for the Mass Profiles of Early-type Lens Galaxies
• Detection of Strong Evolution in the Population of Early-Type Galaxies
• The redshift distribution of gravitational lenses revisited: Constraints on galaxy mass evolution
• Hubble Space Telescope Imaging of the CFRS and LDSS Redshift Surveys---III. Field elliptical galaxies at 0.2 < z < 1.0
• The Cosmic Lens All-Sky Survey: statistical strong lensing, cosmological parameters, and global properties of galaxy populations
• The luminosity density of red galaxies
• Semi-Analytical Models for Lensing by Dark Halos: I. Splitting Angles
• Constraints on the Inner Mass Profiles of Lensing Galaxies from Missing Odd Images
• The central image of a gravitationally lensed quasar
• The Importance of Lens Galaxy Environments
• B2045+265: A New Four-Image Gravitational Lens from CLASS
• New limits on a cosmological constant from statistics of gravitational lensing
• Lensing Constraints on the Cores of Massive Dark Matter Halos
• Gravitational Lensing Limits on Cold Dark Matter and Its Variants
• Keck Spectroscopy of Three Gravitational Lens Systems Discovered in the JVAS and CLASS Surveys
• CLASS B1152+199 and B1359+154: Two New Gravitational Lens Systems Discovered in the Cosmic Lens All-Sky Survey
• Measuring the Cosmic Equation of State with Counts of Galaxies II: Error Budget for the DEEP2 Redshift Survey
• Strong Gravitational Lensing and Dark Energy
• Measuring the Cosmic Equation of State with Counts of Galaxies
• On The Relationship Between Age and Dynamics in Elliptical Galaxies
• B1359+154: A Six Image Lens Produced by a z=1 Compact Group of Galaxies
• New Constraints from High Redshift Supernovae and Lensing Statistics upon Scalar Field Cosmologies
• The complex gravitational lens system B1933+503
• A Keck Survey of Gravitational Lens Systems: I. Spectroscopy of SBS 0909+532, HST 1411+5211, and CLASS B2319+051
• Lensing and the Centers of Distant Early-Type Galaxies
• Cosmological constraints from lensing statistics and supernovae on the cosmic equation of state
• Galaxy Mergers and Gravitational Lens Statistics
• Redshifts of CLASS Radio Sources
• Gravitational lensing statistics with extragalactic surveys. II. Analysis of the Jodrell Bank-VLA Astrometric Survey
• The Luminosity Function of Early-Type Galaxies at z~0.75
• Does the Number Density of Elliptical Galaxies Change at z<1?
• The Luminosity Function Of Field Galaxies And Its Evolution Since z=1
• The Effects of Massive Substructures on Image Multiplicities in Gravitati onal Lenses
• Limits on the evolution of galaxies from the statistics of gravitational lenses
• Strong lensing constraints on the velocity dispersion and density profile of elliptical galaxies
• Rethinking Lensing and Lambda
• The Redshift Distribution of Flat-Spectrum Radio Sources
• B0850+054: a new gravitational lens system from CLASS
• Modelling The First Probable Two Plane Lens System B2114+022: Reproducing Two Compact Radio Cores A, D
• The new two-image gravitational lens system CLASS B2319+051
• Keck spectroscopy of CLASS gravitational lenses
• The Gravitational Lens B1608+656: I. V, I, and H-band HST Imaging
• CLASS B0445+123: a new two-image gravitational lens system

Cited by in corpus (107)

• Dark Energy and the Accelerating Universe
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Likelihoods and Parameters from the WMAP data
• Strong Lensing by Galaxies
• Gravitationally lensed quasars and supernovae in future wide-field optical imaging surveys
• Internal and Collective Properties of Galaxies in the Sloan Digital Sky Survey
• Astrophysical and Cosmological Information from Large-scale sub-mm Surveys of Extragalactic Sources
• A Halo Model of Galaxy Colors and Clustering in the SDSS
• Galaxy luminosities, stellar masses, sizes, velocity dispersions as a function of morphological type
• The Sloan Digital Sky Survey Quasar Lens Search. I. Candidate Selection Algorithm
• Strong gravitational lensing of explosive transients
• Constraints on cosmological models from strong gravitational lensing systems
• Cosmography with strong lensing of LISA gravitational wave sources
• The stellar population histories of early-type galaxies. III. The Coma Cluster
• A Spectroscopic Study of the Environments of Gravitational Lens Galaxies
• Cosmological parameters from strong gravitational lensing and stellar dynamics in elliptical galaxies
• The Sloan Digital Sky Survey Quasar Lens Search. II. Statistical Lens Sample from the Third Data Release
• Strong gravitational lensing of gravitational waves from double compact binaries - perspectives for the Einstein Telescope
• Redshift Evolution of the Galaxy Velocity Dispersion Function
• The Sloan Digital Sky Survey Quasar Lens Search. III. Constraints on Dark Energy from the Third Data Release Quasar Lens Catalog
• The Sloan Digital Sky Survey Quasar Lens Search. VI. Constraints on Dark Energy and the Evolution of Massive Galaxies
• Curvature in the color-magnitude relation but not in color-sigma: Major dry mergers at M* > 2 x 10^11 Msun?
• Constraining dark matter halo properties using lensed SNLS supernovae
• Testing the dark energy with gravitational lensing statistics
• Automated detection of galaxy-scale gravitational lenses in high resolution imaging data
• Discovery of Two Gravitationally Lensed Quasars with Image Separations of 3 Arcseconds from the Sloan Digital Sky Survey
• Assessing the effect of lens mass model in cosmological application with updated galaxy-scale strong gravitational lensing sample
• The velocity function of gas-rich galaxies
• Magnified or multiply imaged? - Search strategies for gravitationally lensed supernovae in wide-field surveys
• The growth of supermassive black holes in pseudo-bulges, classical bulges and elliptical galaxies
• The Virial Mass Function of Nearby SDSS Galaxy Clusters
• First Results from a Photometric Survey of Strong Gravitational Lens Environments
• Data Mining for Gravitationally Lensed Quasars
• Strong lensing probability for testing TeVeS theory
• How robust are the constraints on cosmology and galaxy evolution from the lens-redshift test?
• Test of parametrized post-Newtonian gravity with galaxy-scale strong lensing systems
• A search for the most massive galaxies: Double Trouble?
• Constraints on cosmological models from lens redshift data
• Evolution of Quiescent and Star-Forming Galaxies Since z~1.5 as a Function of Their Velocity Dispersions
• Limits on the power-law mass and luminosity density profiles of elliptical galaxies from gravitational lensing systems
• Probing the distance-duality relation with high-$z$ data
• A Strong-Lens Survey in AEGIS: the influence of large scale structure
• The Sloan Digital Sky Survey Quasar Lens Search. IV. Statistical Lens Sample from the Fifth Data Release
• The impact of lens galaxy environments on the image separation distribution
• Spectroscopic Redshifts for Seven Lens Galaxies
• Galaxy evolution from strong lensing statistics: the differential evolution of the velocity dispersion function in concord with the LambdaCDM paradigm
• $f(R)$ gravity theories in the Palatini Formalism constrained from strong lensing
• Scalar field dark energy models: Current and forecast constraints
• Five New High-Redshift Quasar Lenses from the Sloan Digital Sky Survey
• Cosmological Parameters from the SDSS DR5 Velocity Dispersion Function of Early-Type Galaxies through Radio-Selected Lens Statistics
• Corrections for gravitational lensing of supernovae: better than average?
• Galaxy density profiles and shapes -- I. simulation pipeline for lensing by realistic galaxy models
• Lensing magnification of supernovae in the GOODS-fields
• Gravitational lensing in the Supernova Legacy Survey (SNLS)
• Strong lensing statistics in large, z~<0.2 surveys: bias in the lens galaxy population
• Two New Gravitationally Lensed Double Quasars from the Sloan Digital Sky Survey
• The velocity dispersion function of early-type galaxies and its redshift evolution: the newest results from lens redshift test
• A Comparison of Cosmological Models Using Strong Gravitational Lensing Galaxies
• Testing the DGP model with gravitational lensing statistics
• Probing wave-optics effects and low-mass dark matter halos with lensing of gravitational waves from massive black holes
• A Spectroscopic Survey of the Fields of 28 Strong Gravitational Lenses: The Redshift Catalog
• Strong Lensing by Galaxies
• Implications from simulated strong gravitational lensing systems: constraining cosmological parameters using Gaussian Processes
• Lens modelling of the strongly lensed Type Ia supernova iPTF16geu
• Strong gravitational lensing constraints on holographic dark energy
• Tentative detection of the gravitational magnification of type Ia supernovae
• Strong lensing probability in TeVeS theory
• Gravitational lensing by wave dark matter halos
• Estimating cosmological parameters from future gravitational lens surveys
• The Velocity Dispersion Function for Quiescent Galaxies in the Local Universe
• Practical Cosmology with Lenses
• Implications of the lens redshift distribution of strong lensing systems: cosmological parameters and the global properties of early-type galaxies
• Constraints on Velocity Dispersion Function of Early-type Galaxies from the Statistics of Strong Gravitational Lensing
• A Steep Slope and Small Scatter for the High-Mass End of the L-$\sigma$ Relation at $z\sim 0.55$
• Constraints on a possible evolution of mass density power-law index in strong gravitational lensing from cosmological data
• Prospects and pitfalls of gravitational lensing in large supernova surveys
• ULAS J234311.93-005034.0: A gravitational lens system selected from UKIDSS and SDSS
• Constraints on the velocity profiles of galaxies from strong lensing statistics and semi-analytical modelling of galaxy formation
• Validity of strong lensing statistics for constraints on the galaxy evolution model
• A Spectroscopic Survey of the Fields of 28 Strong Gravitational Lenses: Implications for $H_0$
• Difference Imaging of Lensed Quasar Candidates in the SDSS Supernova Survey Region
• A Direct Measurement of the High-Mass End of the Velocity Dispersion Function at $z\sim 0.55$ from SDSS-III/BOSS
• Discovering Strongly-lensed QSOs From Unresolved Light Curves
• Cosmological test using strong gravitational lensing systems
• Cosmological Parameter Estimation Using Current and Future Observations of Strong Gravitational Lensing
• Nonsingular density profiles of dark matter halos and Strong gravitational lensing
• The Velocity Dispersion Function for Massive Quiescent and Star-Forming Galaxies at 0.6 $<$ z $\le$ 1.0
• Direct tests of General Relativity under screening effect with galaxy-scale strong lensing systems
• The Velocity Dispersion Function for Quiescent Galaxies in Nine Strong-Lensing Clusters
• Constraining cosmological parameters from strong lensing with DECIGO and B-DECIGO sources
• On the Mean Radiative Efficiency of Accreting Massive Black Holes in AGNs And QSOs
• Testing the anisotropy of the Universe with the distance duality relation
• Strong Gravitational Lensing and Its Cosmic Constraints
• Astrophysics in 2005
• Search for gravitational lens candidates in the XMM-LSS/CFHTLS common field
• Velocity dispersion function evolution from strong lensing statistics
• Cosmological application of the lens-redshift probability distribution with improved galaxy-scale gravitational lensing sample
• The Effective Cross-sections of a Lensing-galaxy: Singular Isothermal Sphere with External Shear
• Constraints on Holographic cosmologies from strong lensing systems
• Cosmic Constraints to wCDM Model from Strong Gravitational Lensing
• The Cosmic Lens All-Sky Survey parent population - I. Sample selection and number counts
• The robustness of angular diameter distances to the lens in the B1608+656 and RXJ1131-1231 systems
• Identification of Strongly Lensed Gravitational Wave Events Using Squeeze-and-Excitation Multilayer Perceptron Data-efficient Image Transformer
• Predicted multiply-imaged X-ray AGNs in the XXL survey
• Cosmological parameters from lenses distance ratio
• Galaxy-scale lens search in the PEARLS NEP TDF and CEERS JWST fields
• The velocity dispersion function of red galaxies in four Hubble Frontier Fields galaxy clusters
• Precision Joint Constraints on Cosmology and Gravity Using Strongly Lensed Gravitational Wave Populations