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

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.

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