A Rotating Charged Black Hole Solution in f(R) Gravity

TL;DR

This paper derives a new rotating charged black hole solution in f(R) gravity with constant curvature and analyzes its thermodynamic properties, showing similarities to standard General Relativity black holes.

Contribution

It presents the first explicit rotating charged black hole solution in f(R) gravity with constant curvature, expanding the known solutions in modified gravity theories.

Findings

The new metric describes a rotating charged black hole in f(R) gravity.

Thermodynamic properties are similar to those in General Relativity.

The solution confirms the qualitative similarity of thermodynamics in f(R) gravity to GR.

Abstract

In the context of f(R) theories of gravity, we address the problem of finding a rotating charged black hole solution in the case of constant curvature. The new metric is obtained by solving the field equations and we show that the behavior of it is typical of a rotating charged source. In addition, we analyze the thermodynamics of the new black hole. The results ensures that the thermodynamical properties in f(R) gravities are qualitatively similar to those of standard General Relativity.