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Extremal limits and black hole entropy

Carroll, Sean M. and Johnson, Matthew C. and Randall, Lisa (2009) Extremal limits and black hole entropy. Journal of High Energy Physics, 2009 (11). Art. No. 109. ISSN 1126-6708.

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Taking the extremal limit of a non-extremal Reissner-Nordström black hole (by externally varying the mass or charge), the region between the inner and outer event horizons experiences an interesting fate — while this region is absent in the extremal case, it does not disappear in the extremal limit but rather approaches a patch of AdS_2 × S^2. In other words, the approach to extremality is not continuous, as the non-extremal Reissner-Nordström solution splits into two spacetimes at extremality: an extremal black hole and a disconnected AdS space. We suggest that the unusual nature of this limit may help in understanding the entropy of extremal black holes.

Item Type:Article
Related URLs:
URLURL TypeDescription DOIArticle Paper
Carroll, Sean M.0000-0002-4226-5758
Johnson, Matthew C.0000-0002-5099-8185
Additional Information:© SISSA 2009. Received 12 October 2009, accepted for publication 10 November 2009. Published 25 November 2009. The authors wish to thank D. Anninos, T. Banks, A. Dabholkar, G. Horowitz, H. Ooguri, A. Strominger, and K. Vyas. Partial support for this research was provided by the U.S. Department of Energy and the Gordon and Betty Moore Foundation. L.R. is supported by NSF grant PHY-0556111.
Group:Moore Center for Theoretical Cosmology and Physics
Funding AgencyGrant Number
Department of Energy (DOE)UNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
Subject Keywords:Black Holes in String Theory; Black Holes
Issue or Number:11
Record Number:CaltechAUTHORS:20100120-093837694
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:17232
Deposited By: Tony Diaz
Deposited On:27 Jan 2010 03:24
Last Modified:09 Mar 2020 13:18

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