The Phase Transition between Caged Black Holes and Black Strings - A Review
Abstract
We now have two examples for the breakdown of black hole uniqueness in higher dimensional General Relativity: the black-hole black-string transition and the rotating black ring. In the last few years the phase diagram of the former was the subject of considerable study. 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 point and giving very strong evidence that the end-state of the Gregory-Laflamme instability is a black hole (in low enough dimensions). Here this progress is reviewed, illustrated with figures, put into a wider context, and the still open questions are listed.Keywords
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