nLab black hole in anti-de Sitter spacetime

Idea

These are solutions to Einstein's equations which are black holes in spacetimes that far away from the black hole are asymptotic (not to Minkowski spacetime but) to anti de Sitter spacetime.

Properties

In AdS/CFT

Under the AdS-CFT correspondence black holes in the anti-de Sitter spacetime translate to the conformal field theory on the asymptotic boundary being at positive temperature (e.g. Duff 99, section 6, Natsuume 15, section 7).

Related concepts

black hole spacetimes	vanishing angular momentum	positive angular momentum
vanishing charge	Schwarzschild spacetime	Kerr spacetime
positive charge	Reissner-Nordstrom spacetime	Kerr-Newman spacetime

References

Original articles:

• Hawking, Stephen W., and Don N. Page. “Thermodynamics of black holes in anti-de Sitter space.” Communications in Mathematical Physics 87.4 (1983): 577-588.

Review:

• Mike Duff, section 6 of TASI Lectures on Branes, Black Holes and Anti-de Sitter Space (arXiv:hep-th/9912164)

• Makoto Natsuume, section 7of AdS/CFT Duality User Guide, Lecture Notes in Physics 903, Springer 2015 (arXiv:1409.3575)

• M. Socolovsky, Schwarzschild Black Hole in Anti-De Sitter Space (arXiv:1711.02744)

• Peng Zhao, Black Holes in Anti-de Sitter Spacetime (pdf)

• Jakob Gath, The role of black holes in the AdS/CFT correspondence (pdf)

See also

• Wikipedia, AdS black hole

Discussion of black hole entropy:

• Dao-Quan Sun, Ping Li, Xian-Ru Hu, Jian-Bo Deng, Insight into the Microscopic Structure of an AdS Black Hole from the quantization (arXiv:1811.09952)

Discussion via AdS/CFT correspondence:

• Sinya Aoki, Tetsuya Onogi, Shuichi Yokoyama, What does a quantum black hole look like? (arXiv:2004.03779)