Geometric inequalities for black holes
arXiv:1401.8166 · doi:10.1007/s10714-014-1715-1
Abstract
It is well known that the three parameters that characterize the Kerr black hole (mass, angular momentum and horizon area) satisfy several important inequalities. Remarkably, some of these inequalities remain valid also for dynamical black holes. This kind of inequalities play an important role in the characterization of the gravitational collapse. They are closed related with the cosmic censorship conjecture. In this article recent results in this subject are reviewed.
Invited review article for General Relativity and Gravitation. Based on my plenary lecture at GR20 and the longer review article Classical and Quantum Gravity, 29(7):073001, 2012, arXiv:1111.3615. 27 pages. 14 figures. Minor changes
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