# Neutral regular black hole solution in generalized Rastall gravity

## TL;DR

This paper explores regular black hole solutions in a generalized Rastall gravity framework, highlighting their neutrality and properties without requiring nonlinear electrodynamics, and analyzing the effects of energy-momentum conservation violation.

## Contribution

It introduces a novel class of neutral regular black hole solutions in Rastall gravity, expanding understanding of black holes without nonlinear electrodynamics.

## Key findings

- Regular black holes can be electrically and magnetically neutral.
- Solutions depend on the degree of energy-momentum conservation violation.
- General properties of these black holes are systematically analyzed.

## Abstract

In this work, we investigate the static, spherically symmetric regular black hole solutions in a generalized Rastall gravity. In particular, the prescription of Rastall gravity implies that the present approach does not necessarily involve nonlinear electrodynamics. Subsequently, the resulting regular black hole solution can be electrically and magnetically neutral. The general properties of the regular black hole solutions are explored. Moreover, specific solutions are derived and discussed, particularly regarding the parameter related to the degree of violation of energy-momentum conservation in Rastall theory.