Selected Honorable Mention EssaysNo Access

How fast can a black hole rotate?

Carlos A. R. Herdeiro

Departamento de Física da Universidade de Aveiro and CIDMA, Campus de Santiago, 3810-183 Aveiro, Portugal

E-mail Address: [email protected]

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and

Eugen Radu

Departamento de Física da Universidade de Aveiro and CIDMA, Campus de Santiago, 3810-183 Aveiro, Portugal

E-mail Address: [email protected]

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https://doi.org/10.1142/S0218271815440228Cited by:27

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Abstract

Kerr black holes (BHs) have their angular momentum, $J$ , bounded by their mass, $M$ : $J c \leq G M^{2}$ . There are, however, known BH solutions violating this Kerr bound. We propose a very simple universal bound on the rotation, rather than on the angular momentum, of four-dimensional, stationary and axisymmetric, asymptotically flat BHs, given in terms of an appropriately defined horizon linear velocity, $v_{H}$ . The $v_{H}$ bound is simply that $v_{H}$ cannot exceed the velocity of light. We verify the $v_{H}$ bound for known BH solutions, including some that violate the Kerr bound, and conjecture that only extremal Kerr BHs saturate the $v_{H}$ bound.

This essay received an Honorable Mention in the 2015 Essay Competition of the Gravity Research Foundation.

Keywords:

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Published: 5 November 2015

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History

Received 5 June 2015

Accepted 5 October 2015
Keywords
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How fast can a black hole rotate?

Abstract

References

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