Three thermodynamically-based parametrizations of the deceleration parameter

Abstract

We propose, and constrain with the latest observational data, three model-independent parametrizations of the cosmic deceleration parameter $q(z)$. They are well behaved and stay finite at all redshifts. We construct them by fixing the value of $q$ at high redshift, $q(z\gg 1)=1/2$ (as demanded by cosmic structure formation), and at the far future, $q(z=-1)=-1$, and smoothly interpolating $q(z)$ between them. The fixed point at $z=-1$ is not arbitrarily chosen; it readily follows from the second law of thermodynamics. This fairly reduces the ample latitude in parameterizing $q(z)$.

22 pages, 10 figures; this version matches published paper

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