A simple proof of the recent generalizations of Hawking's black hole topology theorem

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Abstract

A key result in four-dimensional black hole physics, since the early 1970s, is Hawking's topology theorem assertion that the cross-sections of an 'apparent horizon', separating the black hole region from the rest of the spacetime, are topologically 2-spheres. Later, during the 1990s, by applying a variant of Hawking's argument, Gibbons and Woolgar could also show the existence of a genus-dependent lower bound for the entropy of topological black holes with negative cosmological constant. Recently, Hawking's black hole topology theorem, along with the results of Gibbons and Woolgar, has been generalized to the case of black holes in higher dimensions. Our aim here is to give a simple self-contained proof of these generalizations, which also makes their range of applicability transparent.

Original languageEnglish
Article number162001
JournalClassical and Quantum Gravity
Volume25
Issue number16
DOIs
Publication statusPublished - Aug 21 2008

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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