Deformation of extremal black holes from stringy interactions

TL;DR

This paper analytically studies how extremal black holes are deformed in two string-inspired beyond-GR theories, revealing differences in their curvature and physical properties, and advancing understanding of black hole entropy.

Contribution

It provides the first analytical solutions for near-horizon extremal Kerr deformations in Einstein-dilaton-Gauss-Bonnet and dynamical Chern-Simons theories using symmetry and weak-coupling approximations.

Findings

EdGB deformation has a curvature singularity.

dCS deformation remains regular.

Computed orbital frequencies, horizon areas, and entropies.

Abstract

Black holes are a powerful setting for studying general relativity and theories beyond GR. However, analytical solutions for rotating black holes in beyond-GR theories are difficult to find because of the complexity of such theories. In this paper, we solve for the deformation to the near-horizon extremal Kerr metric due to two example string-inspired beyond-GR theories: Einstein-dilaton-Gauss-Bonnet, and dynamical Chern-Simons theory. We accomplish this by making use of the enhanced symmetry group of NHEK and the weak-coupling limit of EdGB and dCS. We find that the EdGB metric deformation has a curvature singularity, while the dCS metric is regular. From these solutions we compute orbital frequencies, horizon areas, and entropies. This sets the stage for analytically understanding the microscopic origin of black hole entropy in beyond-GR theories.