Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1998-10-02
Phys.Lett.A256:347-350,1999
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
3 pages, revtex
Scientific paper
10.1016/S0375-9601(99)00225-X
We consider two non-statistical definitions of entropy for dynamic (non-stationary) black holes in spherical symmetry. The first is analogous to the original Clausius definition of thermodynamic entropy: there is a first law containing an energy-supply term which equals surface gravity times a total differential. The second is Wald's Noether-charge method, adapted to dynamic black holes by using the Kodama flow. Both definitions give the same answer for Einstein gravity: one-quarter the area of the trapping horizon.
Ashworth Michael C.
Hayward Sean A.
Mukohyama Shinji
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