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 selfdual 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. *

Spin-3 fields in Mielke-Baekler gravity

“…In the above equation the prime denotes angular derivatives. The boundary conditions (50), (51) are in agreement with the equation of motion (19).…”

“…It is worth noticing that boundary condition (50) satisfies the so-called highest weight ansatz. However, as shown in [39] in the context of EH gravity (and also in flat gravity [40], higher-spin [41] and supergravity [42]), it is possible to consider a different ansatz that will lead to new asymptotic symmetries, such as a higher-spin generalization of [19].…”

“…Therefore, MB gravity is a good laboratory to test the role of curvature and torsion in the AdS 3 /CFT 2 correspondence. In references [11]- [19] the relation of MB gravity with the CS action, black hole solutions, canonical structure and asymptotic symmetries has been explored and a supersymmetric extension of MB gravity was constructed in [20].…”

Dual diffeomorphisms and finite distance asymptotic symmetries in 3d gravity

“…In summary, our analysis explains how the double Witt and bms 3 algebras arise from the current algebra. For generality we perform this study on the most general first order theory [50][51][52][53][54][55][56][57][58][59][60][61][62], which allows for the presence of curvature, torsion, and three independent central charges.…”

Asymptotic symmetries of Maxwell Chern–Simons gravity with torsion

“…Interestingly, the CS action can be seen as a Maxwell version of a particular case of the Mielke-Baekler (MB) gravity theory [54] which describes a threedimensional gravity model in presence of non-vanishing torsion. Further studies of the MB gravity have been subsequently developed in [55][56][57][58][59][60][61][62][63][64][65]. Here we explore the effects of having a non-vanishing torsion in Maxwell CS gravity at the level of the boundary dynamics.…”