Existence of Reissner-Nordstrom type black holes in f(R) gravity

TL;DR

This paper explores conditions under which Reissner-Nordström-like black holes can exist in f(R) gravity and examines their thermodynamic properties, expanding understanding of black hole solutions in modified gravity theories.

Contribution

It derives necessary conditions for static, spherically symmetric black holes with electric charge in f(R) gravity and analyzes their thermodynamics, a novel extension in modified gravity research.

Findings

Reissner-Nordström type black holes can exist in f(R) gravity under specific conditions.

The thermodynamic behavior of these black holes is characterized and analyzed.

The study provides a framework for understanding charged black holes in alternative gravity theories.

Abstract

We investigate the existence of Reissner-Nordstr\"om (RN) type black holes in f(R) gravity. Our emphasis is to derive, in the presence of electrostatic source, the necessary conditions which provide such static, spherically symmetric (SSS) black holes available in f(R) gravity. We also study the thermodynamics of the black hole solution.