Curvature Scalarization of Black Holes in f(R) Gravity

TL;DR

This paper explores scalarized black hole solutions in f(R) gravity with scalar fields, revealing new solutions at large and small distances, influenced by curvature effects and coupling types.

Contribution

It introduces novel scalarized black hole solutions in f(R) gravity, considering both minimally and conformally coupled scalar fields, highlighting their behavior across different scales.

Findings

Scalarized Schwarzschild-AdS black holes at large distances

Rich structure of solutions at small distances due to curvature effects

Existence of scalarized black holes with conformal coupling

Abstract

We consider f(R) gravity theories in the presence of a scalar field minimally coupled to gravity with a self-interacting potential. When the scalar field backreacts to the metric we find at large distances scalarized Schwarzschild-AdS and Schwarzschild-AdS-like black hole solutions. At small distances due to strong curvature effects and the scalar dynamis we find a rich structure of scalarized black hole solutions. When the scalar field is conformally coupled to gravity we also find scalarized black hole solutions at small distances.