Exact Solutions in Modified Gravity Models

TL;DR

This paper reviews exact solutions in modified gravity theories, focusing on methods like separation of variables, with applications to cosmology and black hole entropy, highlighting their importance in mathematical physics.

Contribution

It introduces a systematic approach to find exact solutions in modified gravity models using separation of variables, expanding the toolkit for solving complex field equations.

Findings

Multiple exact solutions obtained via separation of variables.

Applications demonstrated in cosmology and black hole entropy.

Highlights the significance of exact solutions in understanding gravity theories.

Abstract

We review the exact solutions in modified gravity. It is one of the main problems of mathematical physics for the gravity theory. One can obtain an exact solution if the field equations reduce to a system of ordinary differential equations. In this paper we consider a number of exact solutions obtained by the method of separation of variables. Some applications to Cosmology and BH entropy are briefly mentioned.