The Phase Transition between Caged Black Holes and Black Strings - A Review

Details The Phase Transition between Caged Black Holes and Black Strings - A Review The Phase Transition between Caged Black Holes and Black Strings - A Review

2004-11-26

arxiv.org/abs/hep-th/0411240v2

Phys.Rept.422:119-165,2006

Physics

High Energy Physics

High Energy Physics - Theory

65 pages, 29 figures. v2: An updated version, improved presentation, accepted for publication in Phys. Rep

Scientific paper

10.1016/j.physrep.2005.10.001

Black hole uniqueness is known to fail in higher dimensions, and the multiplicity of black hole phases leads to phase transitions physics in General Relativity. The black-hole black-string transition is a prime realization of such a system and its phase diagram has been the subject of considerable study in the last few years. The most surprising results seem to be the appearance of critical dimensions where the qualitative behavior of the system changes, and a novel kind of topology change. Recently, a full phase diagram was determined numerically, confirming earlier predictions for a merger of the black-hole and black string phases and giving very strong evidence that the end-state of the Gregory-Laflamme instability is a black hole (in the dimension range 4

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