nLab BTZ black hole

Redirected from "thermal AdS3".
Contents

Contents

Idea

black holes in 3d gravity with negative cosmological constant

Properties

Euclidean BTZ is hyperbolic solid torus

The Euclidean BTZ black hole is a hyperbolic 3-manifold homeomorphic to (the interior of) the hyperbolic solid torus, hence to the knot complement of the unknot in the 3-sphere.

(e.g Gukov 03, appendix A, Kraus 06, around Fig. 1, BKR 07, 2.1)

Notice that the volume of the hyperbolic solid torus is not finite. Therefore this hyperbolic 3-manifold knot complement does not count as a “knot complement with hyperbolic structure” in the sense of Thurston‘s classification of 3-manifolds? (see also this MO discussion).

References

General

The original BTZ black hole with trivial internal topology is due to:

The generalization to arbitrary black holes in 2+1-dimensional AdS gravity, with generally non-trivial internal topology:

  • Stefan Aminneborg, Ingemar Bengtsson, Dieter Brill, Soren Holst, Peter Peldan, Black Holes and Wormholes in 2+1 Dimensions, Class. Quant. Grav. 15 (1998) 627-644 (arXiv:gr-qc/9707036)

  • Stefan Aminneborg, Ingemar Bengtsson, Soren Holst, A Spinning Anti-de Sitter Wormhole, Class. Quant. Grav. 16 (1999) 363-382 (arXiv:gr-qc/9805028)

  • Dieter Brill, Black Holes and Wormholes in 2+1 Dimensions, In: Cotsakis S., Gibbons G.W. (eds) Mathematical and Quantum Aspects of Relativity and Cosmology. Lecture Notes in Physics, vol 537. Springer, Berlin, Heidelberg (arXiv:gr-qc/9904083, doi:10.1007/3-540-46671-1_6 )

See also:

  • Aritra Ghosh, Chandrasekhar Bhamidipati, Thermodynamic geometry and interacting microstructures of BTZ black holes (arXiv:2001.10510)

  • Roberto Emparan, Antonia Micol Frassino, Benson Way, Quantum BTZ black hole, JHEP11 (2020) 137 (arXiv:2007.15999)

  • Pablo Bueno, Pablo A. Cano, Javier Moreno, Guido van der Velde, Regular black holes in three dimensions (arXiv:2104.10172)

  • Matías Briceño, Cristián Martínez, Jorge Zanelli, On the central singularity of the BTZ geometries [arXiv:2404.06552]

In view of the cosmic censorship hypothesis:

Via topological M-theory:

  • Javier Chagoya, Graciela Reyes-Ahumada, M. Sabido, BTZ entropy from topological M-theory (arXiv:2011.01094)

See also:

Euclidean BTZ black holes

Discussion of Euclidean BTZ black holes/thermal AdS3 (the hyperbolic solid torus), partly with an eye towards black hole entropy computed via AdS3/CFT2:

See also:

  • Zhen-Ming Xu, Bin Wu, Wen-Li Yang, Thermodynamic curvature and isoperimetric inequality for the charged BTZ black hole (arXiv:2002.00117)

    (not Euclidean, but thermodynamic)

Wilson lines computing holographic entropy in AdS 3/CFT 2AdS_3/CFT_2

Discussion of BTZ black hole entropy and more generally of holographic entanglement entropy in 3d quantum gravity/AdS3/CFT2 via Wilson line observables in Chern-Simons theory:

  • Martin Ammon, Alejandra Castro, Nabil Iqbal, Wilson Lines and Entanglement Entropy in Higher Spin Gravity, JHEP 10 (2013) 110 (arXiv:1306.4338)

  • Jan de Boer, Juan I. Jottar, Entanglement Entropy and Higher Spin Holography in AdS 3AdS_3, JHEP 1404:089, 2014 (arXiv:1306.4347)

  • Alejandra Castro, Stephane Detournay, Nabil Iqbal, Eric Perlmutter, Holographic entanglement entropy and gravitational anomalies, JHEP 07 (2014) 114 (arXiv:1405.2792)

  • Mert Besken, Ashwin Hegde, Eliot Hijano, Per Kraus, Holographic conformal blocks from interacting Wilson lines, JHEP 08 (2016) 099 (arXiv:1603.07317)

  • Andreas Blommaert, Thomas G. Mertens, Henri Verschelde, The Schwarzian Theory - A Wilson Line Perspective, JHEP 1812 (2018) 022 (arXiv:1806.07765)

  • Ashwin Dushyantha Hegde, Role of Wilson Lines in 3D Quantum Gravity, 2019 (spire:1763572)

  • Xing Huang, Chen-Te Ma, Hongfei Shu, Quantum Correction of the Wilson Line and Entanglement Entropy in the AdS 3AdS_3 Chern-Simons Gravity Theory (arXiv:1911.03841)

  • Eric D'Hoker, Per Kraus, Gravitational Wilson lines in AdS 3AdS_3 (arXiv:1912.02750)

  • Marc Henneaux, Wout Merbis, Arash Ranjbar, Asymptotic dynamics of AdS 3AdS_3 gravity with two asymptotic regions (arXiv:1912.09465)

and similarly for 3d flat-space holography:

Discussion for 3d de Sitter spacetime:

  • Alejandra Castro, Philippe Sabella-Garnier, Claire Zukowski, Gravitational Wilson Lines in 3D de Sitter (arXiv:2001.09998)

In pp-adic AdS/CFT

Discussion of BTZ black holes via tensor networks in the p-adic AdS/CFT correspondence:

Last revised on April 11, 2024 at 03:19:23. See the history of this page for a list of all contributions to it.