New Black Holes Solutions in a Modified Gravity

TL;DR

This paper introduces a modified gravity theory inspired by gauge theories, deriving new vacuum black hole solutions that incorporate effects like mass, charge, and acceleration without matter coupling.

Contribution

It proposes a novel gauge-inspired modified gravity framework and derives new spherically symmetric vacuum solutions that extend classical black hole models.

Findings

Derived new black hole solutions with additional parameters

Reproduces effects like cosmological constant and Rindler acceleration

Operates in vacuum without matter coupling

Abstract

We present a theory of modified gravity, inspired by the gauge theories, where the commutator algebra of covariant derivative gives us an added term with respect to the General Relativity, which represents the interaction of gravity with a substratum. New spherically symmetric solutions of this theory are obtained and can be view as solutions that reproduce, the mass, the charge, the cosmological constant and the Rindler acceleration, without coupling with the matter content, i.e., in the vacuum.