arXiv subjects
Publications and source records attributed to Maria V. Shubina.
In this article we propose the scheme of integration of two-dimensional $F(R)$ gravity vacuum equations in a travelling wave variable. The main emphasis is placed on the fundamental possibility of obtaining different forms of the function $F(R)$ by arbitrarily choosing a certain function through which all components of the metric tensor of the theory can be expressed.
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.