Near-horizon geometry with torsion: Kerr-AdS black hole

TL;DR

This paper explores the near-horizon geometry of extremal Kerr-AdS black holes with torsion, deriving conditions for such limits and constructing explicit solutions that extend traditional black hole models.

Contribution

It introduces a novel approach to include torsion in near-horizon geometries and constructs explicit solutions for extremal Kerr-AdS black holes with torsion.

Findings

Derived covariant geometric conditions for near-horizon limits with torsion.

Constructed a new black hole solution with torsion from the near-horizon limit.

Linked the near-horizon solution to a broader class of black holes with torsion.

Abstract

We consider the general construction of near-horizon limit for extremal black hole solutions with non-trivial torsion, and derive the covariant geometric conditions for the existence this limit. A near-horizon solution with torsion is constructed in the case of extremal Kerr-AdS black hole, starting from an ansatz compatible with near-horizon symmetry. We demonstrate that this solution corresponds to the limit of a new black hole solution with torsion.