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arXiv · 1209.3415

Three thermodynamically-based parametrizations of the deceleration parameter

Sergio del Campo·Ivan Duran·Ramon Herrera·Diego Pavon
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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 $q(z)$.

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Sergio del Campo, Ivan Duran, Ramon Herrera, Diego Pavon. 2012-10-15. Three thermodynamically-based parametrizations of the deceleration parameter. https://doi.org/10.1103/physrevd.86.083509

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