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A note on physical mass and the thermodynamics of AdS-Kerr black holes
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA.
2015 (English)In: Journal of Cosmology and Astroparticle Physics, ISSN 1475-7516, E-ISSN 1475-7516, no 11, 004Article in journal (Refereed) PublishedText
Abstract [en]

As with any black hole, asymptotically anti-de Sitter Kerr black holes are described by a small number of parameters, including a "mass parameter" M that reduces to the AdS-Schwarzschild mass in the limit of vanishing angular momentum. In sharp contrast to the asymptotically flat case, the horizon area of such a black hole increases with the angular momentum parameter a if one fixes M; this appears to mean that the Penrose process in this case would violate the Second Law of black hole thermodynamics. We show that the correct procedure is to fix not M but rather the "physical" mass E = M/(1 - a(2)/L-2)(2); this is motivated by the First Law. For then the horizon area decreases with a. We recommend that E always be used as the mass in physical processes: for example, in attempts to "over-spin" AdS-Kerr black holes.

Place, publisher, year, edition, pages
Institute of Physics Publishing (IOPP), 2015. no 11, 004
Keyword [en]
GR black holes, gravity
National Category
Astronomy, Astrophysics and Cosmology
Identifiers
URN: urn:nbn:se:kth:diva-180150DOI: 10.1088/1475-7516/2015/11/004ISI: 000365821200005ScopusID: 2-s2.0-84948732560OAI: oai:DiVA.org:kth-180150DiVA: diva2:893703
Note

QC 20160113

Available from: 2016-01-13 Created: 2016-01-07 Last updated: 2016-01-13Bibliographically approved

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Ong, Yen Chin
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