2024/03/20 by Shubina, Maria V.
#83D05 #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc)
paper · doi:10.48550/arxiv.2403.13919
In this paper we present a general vacuum solution of the modified Gauss-Bonnet gravity equations for the Friedmann-Lemaître-Robertson-Walker metric. We use an ansatz to reduce the gravitational equations to an ordinary differential equations for function F=F(G). The solution obtained depends on an arbitrary function and is new. As an example we take an arbitrary function in the form of a power one and analyze the solutions for both F(G) and the main cosmological physical quantities as scale factor, Hubble rate, the Gauss-Bonnet term and the scalar curvature.