Black hole solutions of gravity theories with nonminimal coupling between matter and curvature

TL;DR

This paper explores black hole solutions in a modified gravity theory with nonminimal matter-curvature coupling, revealing how such couplings alter black hole properties and potentially address the cosmological constant problem.

Contribution

It derives new black hole solutions in a nonminimally coupled gravity theory, analyzing their properties and implications for the cosmological constant.

Findings

Black hole solutions differ from GR by a mass and charge rescaling

The cosmological constant is effectively 'dressed' by the coupling

Conditions for a viable weak field limit are established

Abstract

We study black hole solutions in an extension of General Relativity (GR) with an explicit non-minimal coupling between matter and curvature. General black hole solutions satisfying the known energy conditions are derived including the ones with anti-de Sitter background. These solutions differ from those of GR just by a coupling function dependent rescaling of the mass and charge of the black hole and by a "dressing" of the cosmological constant. The existence of black hole solutions of the nonminimally coupled theory as well as the conditions for a suitable weak field limit are considered as a constraint on the coupling function responsible for the nonminimal coupling between matter and curvature. The "dressing" of the cosmological constant is then used to address the cosmological constant problem.