Boundary Terms and Noether Current of Sphereical Black Holes

Details Boundary Terms and Noether Current of Sphereical Black Holes Boundary Terms and Noether Current of Sphereical Black Holes

1998-11-23

arxiv.org/abs/gr-qc/9811076v1

Phys.Rev.D60:084004,1999

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, no figures, latex

Scientific paper

10.1103/PhysRevD.60.084004

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.

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