2023/12/27 by Maria Shubina, Shubina, Maria · 1 citation
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Ansatz #Astrophysics #Cosmology #Cosmology and Gravitation Theories #Curvature #Dark energy #Exact solutions in general relativity #FOS: Physical sciences #Friedmann equations #Function (biology) #General Relativity and Quantum Cosmology (gr-qc) #Geometry #Geophysics and Gravity Measurements #Hubble's law #Mathematical physics #Mathematics #Metric (unit) #Metric expansion of space #Physics #Quantum mechanics #Relativity and Gravitational Theory #Scalar (mathematics) #Scalar curvature #Scale factor (cosmology)
paper · pdf · doi:10.48550/arxiv.2312.16670
published in arXiv (Cornell University) (Cornell University)
openalex publication_date 2023/12/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.