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Some exact solutions of Friedmann cosmological equation (2312.16670v2)
Published 27 Dec 2023 in gr-qc
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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