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.
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References
Wald, R.M.: Final states of gravitational collapse. Phys. Rev. Lett. 26, 1653 (1971). doi:10.1103/PhysRevLett.26.1653
Dain, S.: Geometric inequalities for axially symmetric black holes. Class. Quantum Grav. 29, 073001 (2012). doi:10.1088/0264-9381/29/7/073001
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Dain, S. (2014). Geometric Inequalities for Black Holes. In: Bičák, J., Ledvinka, T. (eds) Relativity and Gravitation. Springer Proceedings in Physics, vol 157. Springer, Cham. https://doi.org/10.1007/978-3-319-06761-2_7
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DOI: https://doi.org/10.1007/978-3-319-06761-2_7
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Online ISBN: 978-3-319-06761-2
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