Gravitational Lensing Statistics as a Probe of Dark Energy

Abstract

By using the comoving distance, we derive an analytic expression for the optical depth of gravitational lensing, which depends on the redshift to the source and the cosmological model characterized by the cosmic mass density parameter ${\Omega }_m$, the dark energy density parameter ${\Omega }_x$ and its equation of state ${\omega }_x=p_x/{\rho }_x$. It is shown that, the larger the dark energy density is and the more negative its pressure is, the higher the gravitational lensing probability is. This fact can provide an independent constraint for dark energy.

9 pages, 2 figures

References in corpus (8)

• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• The Case for a Positive Cosmological Lambda-term
• Supernova Limits on the Cosmic Equation of State
• Constraining dark energy with SNe Ia and large-scale structure
• Resolving the Cosmological Missing Energy Problem
• The Cosmic Microwave Background and Observational Convergence in the Omega_m - Omega_lambda Plane
• Cosmological constraints from lensing statistics and supernovae on the cosmic equation of state
• Magnification cross-sections of gravitational lensing by galaxies in general FLRW cosmologies

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