Gravitational lensing constraint on the cosmic equation of state

Abstract

Recent redshift-distance measurements of Type Ia supernovae (SNe Ia) at cosmological distances suggest that two-third of the energy density of the universe is dominated by dark energy component with an effective negative pressure. This dark energy component is described by the equation of state $p_x=w{\rho }_x$ $(w\ge -1)$. We use gravitational lensing statistics to constrain the equation of state of this dark energy. We use $n(\Delta \theta )$, image separation distribution function of lensed quasars, as a tool to probe $w$. We find that for the observed range of ${\Omega }_m\sim 0.2-0.4$, $w$ should lie between $-0.8\le w\le -0.4$ in order to have five lensed quasars in a sample of 867 optical quasars. This limit is highly sensitive to lens and Schechter parameters and evolution of galaxies.

Modified results and inclusion of calculations with new set of parameters

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Cited by in corpus (8)

• Testing dark energy beyond the cosmological constant barrier
• Constraints on Chaplygin quartessence from the CLASS gravitational lens statistics and supernova data
• Constraints on Cardassian Scenario from the Expansion Turnaround Redshift and the Sunyaev-Zeldovich/X-ray Data
• Determining the equation of state of dark energy from angular size of compact radio sources and X-ray gas mass fraction of galaxy clusters
• Dark Energy and the Statistical Study of the Observed Image Separations of the Multiply Imaged Systems in the CLASS Statistical Sample
• Current lookback time-redshift bounds on dark energy
• Constraints on a quintessence model from gravitational lensing statistics
• Analytical considerations about the cosmological constant and dark energy