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Geometric Inequalities for Black Holes

Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 157)

Abstract

It is well known that the parameters that characterize the Kerr black hole satisfy several important geometric inequalities. Remarkably enough, some of these inequalities also hold for dynamical black holes. This kind of inequalities play an important role in the characterization of the gravitational collapse, they are closely related with the cosmic censorship conjecture. We briefly review recent results in this subject.

References

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    Wald, R.M.: Final states of gravitational collapse. Phys. Rev. Lett. 26, 1653 (1971). doi: 10.1103/PhysRevLett.26.1653 ADSCrossRefGoogle Scholar
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    Dain, S.: Geometric inequalities for axially symmetric black holes. Class. Quantum Grav. 29, 073001 (2012). doi: 10.1088/0264-9381/29/7/073001 ADSCrossRefMathSciNetGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Facultad de Matemática, Astronomía y Física, FaMAFUniversidad Nacional de Córdoba, Instituto de Física Enrique Gaviola, IFEG, CONICET, Ciudad UniversitariaCórdobaArgentina

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