No evidence for the evolution of mass density power-law index $\gamma$ from strong gravitational lensing observation

Abstract

In this paper, we consider the singular isothermal sphere lensing model that has a spherically symmetric power-law mass distribution ${\rho }_{tot}(r)\sim r^{-\gamma }$. We investigate whether the mass density power-law index $\gamma$ is cosmologically evolutionary by using the strong gravitational lensing (SGL) observation, in combination with other cosmological observations. We also check whether the constraint result of $\gamma$ is affected by the cosmological model, by considering several simple dynamical dark energy models. We find that the constraint on $\gamma$ is mainly decided by the SGL observation and independent of the cosmological model, and we find no evidence for the evolution of $\gamma$ from the SGL observation.

7 pages, 3 figures

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