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arXiv · 2312.16670

Some exact solutions of Friedmann cosmological equation

Maria Shubina
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Abstract

In this paper we present a number of examples of exact solutions for the Friedmann cosmological equation for metric $ F(R) $ gravity model. Emphasis was placed on the possibility of obtaining exact time dependences of the main cosmological physical quantities: scale factor, scalar curvature, Hubble rate and function $ F(R) $. For this purpose an ansatz was used to reduce the Friedmann equation to an ordinary differential equation for function $ F = F(H^{2})$. This made it possible to obtain a number of exact solutions, both already known and new.

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Maria Shubina. 2023-12-27. Some exact solutions of Friedmann cosmological equation. https://arxiv.org/abs/2312.16670

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