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

B. Cvetković, D. Rakonjac

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.

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.

Paper Structure

This paper contains 12 sections, 68 equations.

Table of Contents

  1. Introduction
  2. General construction of a near horizon limit
  3. Extremal black holes in general relativity
  4. Near-horizon limit in the presence of torsion
  5. An example: Kerr-AdS black hole with torsion
  6. Near-horizon limit
  7. Symmetry ansatz for torsion in NHEK-AdS
  8. Double duality ansatz in PG theory
  9. Near horizon Kerr-AdS solution with torsion
  10. Towards the black hole solution
  11. Discussion
  12. Irreducible decomposition of curvature and torsion tensors