Cosmological constraints from lensing statistics and supernovae on the cosmic equation of state

Abstract

We investigate observational constraints from lensing statistics and high-z type Ia supernovae on flat cosmological models with nonrelativistic matter and an exotic fluid with equation of state, $p_x=(m/3-1){\rho }_x$. We show that agreement with both tests at the 68% confidence level is possible if the parameter $m$ is low ($m\lesssim 0.85$) and $0.24\lesssim {\Omega }_{m0}\lesssim 0.38$ with lower values of ${\Omega }_{m0}$ corresponding to higher $m$. We find that a conventional cosmological constant model with ${\Omega }_{m0}\simeq 0.33$ is the best fit model of the combined likelihood.

7 pages, 4 postscript figures, revtex, submitted to Phys. Rev. D

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