Journal
PHYSICS LETTERS B
Volume 647, Issue 5-6, Pages 472-476Publisher
ELSEVIER
DOI: 10.1016/j.physletb.2007.02.036
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Funding
- National Research Foundation of Korea [R11-2005-021-03002-0] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
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Recently, exotic black holes whose masses and angular momenta are interchanged have been found, and it is known that their entropies depend only on the inner horizon areas. But a basic problem of these entropies is that the second law of thermodynamics is not guaranteed, in contrast to the Bekenstein-Hawking entropy. Here, I find that there is another entropy formula which recovers the usual Bekenstein-Hawking form, but the characteristic angular velocity and temperature are identified with those of the inner horizon, in order to satisfy the first law of black hole thermodynamics. The temperature has a negative value, due to an upper bound of mass as in spin systems, and the angular velocity has a lower bound. I show that one can obtain the same entropy formula from a conformal field theory computation, based on classical Virasoro algebras. I also describe several unanswered problems and some proposals for how these might be addressed. (c) 2007 Elsevier B.V. All rights reserved.
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