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Phys. Rev. D 60, 084004 (1999) [8 pages]

Boundary terms and Noether current of spherical black holes

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M. C. Ashworth*
Department of Physics, Tokyo Institute of Technology, Ohokayama, Meguro, 152-8551, Japan

Sean A. Hayward
Yukawa Institute for Theoretical Physics, Kyoto University, Kitashirakawa, Sakyo-ku, Kyoto 606-8502, Japan

Received 30 November 1999; published 14 September 1999

We consider two proposals for defining black hole entropy in spherical symmetry, where the horizon is defined locally as a trapping horizon. The first case, boundary terms in a dual-null form of the reduced action in two dimensions, gives a result that is proportional to the area. The second case, Wald’s Noether current method, is generalized to dynamic black holes giving an entropy that is just the area of the trapping horizon. These results are compared with a generalized first law of thermodynamics.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.60.084004
DOI:
10.1103/PhysRevD.60.084004
PACS:
04.70.Dy

*Email address: ashworth@th.phys.titech.ac.jp

Email address: hayward@yukawa.kyoto-u.ac.jp