Can Strong Gravitational Lensing Constrain Dark Energy?

Abstract

We discuss the ratio of the angular diameter distances from the source to the lens, $D_{ds}$, and to the observer at present, $D_s$, for various dark energy models. It is well known that the difference of $D_s$s between the models is apparent and this quantity is used for the analysis of Type Ia supernovae. However we investigate the difference between the ratio of the angular diameter distances for a cosmological constant, $(D_{ds}/D_s{)}^{\Lambda }$ and that for other dark energy models, $(D_{ds}/D_s{)}^{\mathrm{other}}$ in this paper. It has been known that there is lens model degeneracy in using strong gravitational lensing. Thus, we investigate the model independent observable quantity, Einstein radius (${\theta }_E$), which is proportional to both $D_{ds}/D_s$ and velocity dispersion squared, ${\sigma }_v^2$. $D_{ds}/D_s$ values depend on the parameters of each dark energy model individually. However, $(D_{ds}/D_s{)}^{\Lambda }-(D_{ds}/D_s{)}^{\mathrm{other}}$ for the various dark energy models, is well within the error of ${\sigma }_v$ for most of the parameter spaces of the dark energy models. Thus, a single strong gravitational lensing by use of the Einstein radius may not be a proper method to investigate the property of dark energy. However, better understanding to the mass profile of clusters in the future or other methods related to arc statistics rather than the distances may be used for constraints on dark energy.

15 pages, 13 figures, Accepted in PRD

References in corpus (51)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• Cosmological parameters from SDSS and WMAP
• Cosmological Imprint of an Energy Component with General Equation of State
• Cosmology and the Fate of Dilatation Symmetry
• The 2dF Galaxy Redshift Survey: Spectra and redshifts
• The Cosmic Triangle: Revealing the State of the Universe
• Simulations of X-ray Clusters
• Cosmology with a Primordial Scaling Field
• Constraints on dark energy from Chandra observations of the largest relaxed galaxy clusters
• The Sloan Lens ACS Survey. I. A Large Spectroscopically Selected Sample of Massive Early-Type Lens Galaxies
• Is There A Cosmological Constant?
• The Physics of Microwave Background Anisotropies
• A theoretician's analysis of the supernova data and the limitations in determining the nature of dark energy
• Cosmological parameters from supernova observations: A critical comparison of three data sets
• Generalized Chaplygin gas and CMBR constraints
• CMB Observables and Their Cosmological Implications
• Fluctuations of the luminosity distance
• Constraints on holographic dark energy from X-ray gas mass fraction of galaxy clusters
• A New Method to Estimate Cosmological Parameters Using Baryon Fraction of Clusters of Galaxies
• Probing Gravitation, Dark Energy, and Acceleration
• Constraining Dark Energy with X-ray Galaxy Clusters, Supernovae and the Cosmic Microwave Background
• Quintessence and the Separation of CMB Peaks
• Dipole of the luminosity distance: a direct measure of H(z)
• Dark Energy Constraints from the CTIO Lensing Survey
• The Universal Deceleration and Angular Diameter Distances to Clusters of Galaxies
• Cosmological Constraints from Compact Radio Source Angular Size versus Redshift Data
• The Location of CMB Peaks in a Universe with Dark Energy
• Strong Gravitational Lensing and Dark Energy
• Constraining the Cosmological Parameters using Strong Lensing
• Decaying $\Lambda$ cosmologies and statistical properties of gravitational lenses
• Probing the dark energy with strong lensing by clusters of galaxies
• CMB Temperature and Polarization Anisotropy Fundamentals
• Radio Galaxy Redshift-Angular Size Data Constraints on Dark Energy
• New Constraints from High Redshift Supernovae and Lensing Statistics upon Scalar Field Cosmologies
• Constraints on Scalar-Field Dark Energy from Galaxy Cluster Gas Mass Fraction versus Redshift
• Constraints on Scalar-Field Dark Energy from the Cosmic Lens All-Sky Survey Gravitational Lens Statistics
• Noise in strong lensing cosmography
• Possible measurement of Quintessence and density parameter using strong gravitational lensing events
• Constraints on the dark energy equation of state from the separation of CMB peaks and the evolution of alpha
• Gravitational Lensing Statistics as a Probe of Dark Energy
• Constraining Evolution of Quintessence with CMB and SNIa Data
• Velocity Dispersion of the Gravitational Lens 0957+561
• Complementary constraints from FR IIb radio galaxies and X-ray gas mass fractions in clusters on non-standard cosmological models
• Feasibility of Probing Dark Energy with Strong Gravitational Lensing Systems -- Fisher-Matrix Approach --
• Constraints on Velocity Dispersion Function of Early-type Galaxies from the Statistics of Strong Gravitational Lensing
• WMAP Constraints on Quintessence
• Lens Model Degeneracy and Cosmological Tests by Strong Gravitational Lensing

Cited by in corpus (12)

• Cosmological Constraints from Gravitational Lens Time Delays
• Hubble parameter data constraints on dark energy
• Constraints on Dark Energy from Galaxy Cluster Gas Mass Fraction versus Redshift data
• Constraints on dark energy from H II starburst galaxy apparent magnitude versus redshift data
• Galaxy cluster number count data constraints on cosmological parameters
• Constraints on a $\varphi$CDM model from strong gravitational lensing and updated Hubble parameter measurements
• Galaxy cluster angular size data constraints on dark energy
• Constraints on dark energy from the Lyα forest baryon acoustic oscillations measurement of the redshift 2.3 Hubble parameter
• Constraints on dark energy models from radial baryon acoustic scale measurements
• Observational constraints on dark energy cosmological model parameters
• Constraints on dark energy from baryon acoustic peak and galaxy cluster gas mass measurements
• Forecasting cosmological parameter constraints from near-future space-based galaxy surveys