Exact Solutions in Modified Gravity Models

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.

10 pages

References in corpus (7)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Likelihoods and Parameters from the WMAP data
• Improved Dark Energy Constraints from ~100 New CfA Supernova Type Ia Light Curves
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Reconstructing Dark Energy
• On the $\Lambda$CDM Universe in $f(G)$ gravity
• Stationary vs. singular points in an accelerating FRW cosmology derived from six-dimensional Einstein-Gauss-Bonnet gravity

Cited by in corpus (4)

• Analytic Solutions of Brans-Dicke Cosmology: Early Inflation and Late Time Accelerated Expansion
• Analytic Solutions of Scalar Field Cosmology, Mathematical Structures for Early Inflation and Late Time Accelerated Expansion
• Accelerating and decelerating cosmology from spinor and scalar fields non-minimally coupled with f(R) gravity
• Cosmological models with the spinor and non-minimally interacting scalar field