Deformed hyperbolic black holes

TL;DR

This paper introduces a new family of static AdS black holes with deformed hyperbolic horizons, expanding the understanding of horizon geometries in AdS space through domain-structure analysis.

Contribution

It presents a one-parameter generalization of hyperbolic black holes in AdS, revealing deformed hyperbolic horizons and their static, regular spacetime properties.

Findings

Horizons are deformed hyperbolic spaces controlled by a new parameter.

Black holes are static and regular outside the horizons.

These solutions are hyperbolic analogues of slowly accelerating spherical black holes.

Abstract

Black holes with planar or hyperbolic horizons are known to exist in AdS space, alongside the usual ones with spherical horizons. In this paper, we consider a one-parameter generalisation of these black holes that is contained in the AdS C-metric. In terms of the domain-structure analysis recently developed for such solutions, these black holes have a domain in the shape of a triangle. It is shown that the horizons of these black holes are deformed hyperbolic spaces, with the new parameter controlling the amount of deformation. The space-times are static and completely regular outside the horizons. We argue that these black holes are hyperbolic analogues of the "slowly accelerating" spherical black holes known to exist in AdS space.