Topological electro-vacuum solutions in extended gravity

TL;DR

This paper derives new topological black hole solutions in extended higher-order gravity models with Maxwell fields, investigates their thermodynamic properties, and provides energy expressions, advancing understanding of black hole solutions in modified gravity theories.

Contribution

It introduces novel topological black hole solutions in extended gravity models and analyzes their thermodynamics using a simple Lagrangian reduction method.

Findings

New topological black hole solutions are presented.

The First Law of thermodynamics is validated for these solutions.

Expressions for the energy of the solutions are derived.

Abstract

Spherically symmetric static topological black hole solutions associated with some extended higher order gravitational models in the presence of a Maxwell-field are derived by means of simple Lagrangian method, based on spherically symmetric reduction. Some new topological black hole solutions are presented and the validity of the First Law is investigated, and in these cases an expression for the energy is provided.