Near-horizon geometry with torsion

Abstract

We investigate near-horizon geometry of the rotating Bañados Teiteilboim Zanelli (BTZ) black hole with torsion. Our main motivation is to gain insight into the role of torsion in the near-horizon geometry, which is well understood in the Riemannian case. We obtain that near-horizon geometry represents a generalization of AdS self-dual orbifold with non-trivial torsion. We analyze its asymptotic structure and derive the corresponding algebra of asymptotic symmetries, which consists of chiral Virasoro and centrally extended $u(1)$ Kac-Moody algebra.

LaTeX, 14 pages; v2: section 3 extended

References in corpus (9)

• Cosmology with torsion: An alternative to cosmic inflation
• Soft Heisenberg hair on black holes in three dimensions
• Torsion Cosmology and the Accelerating Universe
• Black Hole Horizon Fluffs: Near Horizon Soft Hairs as Microstates of Three Dimensional Black Holes
• Black hole entropy from the boundary conformal structure in 3D gravity with torsion
• Accelerating Universe with spacetime torsion but without dark matter and dark energy
• Torsion as a Dark Matter Candidate from the Higgs Portal
• Covariant description of the black hole entropy in 3D gravity
• Near horizon OTT black hole asymptotic symmetries and soft hair

Cited by in corpus (7)

• Most general theory of 3d gravity: Covariant phase space, dual diffeomorphisms, and more
• Asymptotic Symmetries of Maxwell Chern-Simons Gravity with Torsion
• Dual diffeomorphisms and finite distance asymptotic symmetries in 3d gravity
• Deformation of Asymptotic Symmetry Algebras and Their Physical Realizations
• Quasibound states for a scalar field under the influence of an external magnetic field in the near-horizon geometry of the BTZ black hole with torsion
• Extremal Kerr black hole entropy in Poincaré gauge theory
• Spin-3 fields in Mielke-Baekler gravity