Some exact solutions of Friedmann cosmological equation

2023/12/27 by Maria Shubina, Shubina, Maria · 1 citation
Earth and Planetary Sciences · Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geophysics and Gravity Measurements #Relativity and Gravitational Theory

paper · pdf · doi:10.48550/arxiv.2312.16670

openalex publication_date 2023/12/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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(H²). This made it possible to obtain a number of exact solutions, both already known and new.

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