Slowly rotating and charged Black-holes in Entangled Relativity

TL;DR

This paper introduces new solutions for slowly rotating charged black holes within Entangled Relativity, a reformulation of Einstein's theory that emphasizes matter fields and the principle of relativity of inertia.

Contribution

It presents novel solutions for slowly rotating charged black holes in Entangled Relativity, expanding the understanding of black hole configurations in this alternative framework.

Findings

New solutions for slowly rotating charged black holes are derived.

Entangled Relativity aligns more closely with Einstein's principle of relativity of inertia.

The approach offers a more parsimonious formulation of gravitational phenomena.

Abstract

Entangled Relativity is a non-linear reformulation of Einstein's General Theory of Relativity (General Relativity) that offers a more parsimonious formulation. This non-linear approach notably requires the simultaneous definition of matter fields, thus aligning more closely with Einstein's \textit{principle of relativity of inertia} than General Relativity does. Solutions for spherically charged black holes have already been identified. After exploring further some of the properties of these solutions, we present new solutions for the field equations pertaining to slowly rotating charged black holes.