Horizon curvature and spacetime structure influences on black hole scalarization

TL;DR

This paper explores how horizon curvature and spacetime structure affect black hole scalarization within Einstein-scalar-Gauss-Bonnet theory, revealing that positive curvature facilitates scalarization, especially in AdS spacetimes.

Contribution

It provides a comparative analysis of scalarization signals in black holes with different curvatures, highlighting the influence of spacetime geometry on scalar field formation.

Findings

Scalarization is easier in AdS spacetime than in flat space.

Positive curvature enhances scalar field formation near black holes.

Negative curvature makes scalar field bounding near the horizon more difficult.

Abstract

Black hole spontaneous scalarization has been attracting more and more attention as it circumvents the well-known no-hair theorems. In this work, we study the scalarization in Einstein-scalar-Gauss-Bonnet theory with a probe scalar field in a black hole background with different curvatures. We first probe the signal of black hole scalarization with positive curvature in different spacetimes. The scalar field in AdS spacetime could be formed easier than that in flat case. Then, we investigate the scalar field around AdS black holes with negative and zero curvatures. Comparing with negative and zero cases, the scalar field near AdS black hole with positive curvature could be much easier to emerge. And in negative curvature case, the scalar field is the most difficult to be bounded near the horizon.