Horizon curvature and spacetime structure influences on black hole scalarization

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.

Automated summary

The study shows that in Einstein-scalar-Gauss-Bonnet theory, the curvature of AdS black holes has a significant impact on scalarization phenomenon. Compared with negative and zero curvatures, scalarization is more likely to occur near AdS black holes with positive curvature.