Journal
CLASSICAL AND QUANTUM GRAVITY
Volume 31, Issue 24, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/31/24/245014
Keywords
the first law of black hole thermodynamics; regular black holes; Bekenstein-Hawking area law
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Funding
- National Natural Science Foundation of China (NSFC) [11247261, 11075098]
- Doctoral Sustentation Fund of Shanxi Datong University [2011-B-03]
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We show by explicit computations that there is a superficial inconsistency between the conventional first law of black hole thermodynamics and Bekenstein-Hawking area law for three types of regular black holes. The corrected form of the first law for these regular black holes is given. The derivation relies on the general structure of the energy-momentum tensor of the matter fields. When the black hole mass parameter M is included in the energy-momentum tensor, the conventional form of the first law should be modified with an extra factor. In this case, the black hole mass M can no longer be considered as the internal energy of the regular black holes.
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