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Geometric inequalities for black holes

  • Sergio DainEmail author
Review Article
Part of the following topical collections:
  1. The First Century of General Relativity: GR20/Amaldi10

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.

Keywords

Black holes Geometric inequalities Mass Angular momentum Horizon area 

Notes

Acknowledgments

This work was supported by Grant PICT-2010-1387 of CONICET (Argentina) and grant Secyt-UNC (Argentina).

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Authors and Affiliations

  1. 1.Facultad de Matemática, Astronomía y Física, FaMAF, Universidad Nacional de CórdobaInstituto de Física Enrique Gaviola, IFEG, CONICETCórdobaArgentina

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