Simple Cosmological Model with Relativistic Gas
Guilherme de Berredo-Peixoto, Ilya L. Shapiro, Flavia Sobreira, (Federal University of Juiz de Fora, Brazil)
TL;DR
This paper presents a simple, analytic approximation for a relativistic gas of massive particles, enabling solutions to cosmological equations and potential applications in early universe and dark matter modeling.
Contribution
It introduces an elementary function-based equation of state for relativistic gas, allowing analytic solutions in cosmological models with various components.
Findings
Analytic solutions for Friedmann equations with relativistic gas
Model applicability to primordial Universe scenarios
Potential role as dark matter candidate
Abstract
We construct simple and useful approximation for the relativistic gas of massive particles. The equation of state is given by an elementary function and admits analytic solution of the Friedmann equation, including more complex cases when the relativistic gas of massive particles is considered together with radiation or with dominating cosmological constant. The model of relativistic gas may be interesting for the description of primordial Universe, especially as a candidate for the role of a Dark Matter.
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