Quasi-local first law of black-hole dynamics

Details Quasi-local first law of black-hole dynamics Quasi-local first law of black-hole dynamics

1999-05-21

arxiv.org/abs/gr-qc/9905085v2

Class.Quant.Grav. 17 (2000) 2153

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Latex, 8 pages; version to appear in Class. Quantum Grav

Scientific paper

10.1088/0264-9381/17/10/310

A property well known as the first law of black hole is a relation among infinitesimal variations of parameters of stationary black holes. We consider a dynamical version of the first law, which may be called the first law of black hole dynamics. The first law of black hole dynamics is derived without assuming any symmetry or any asymptotic conditions. In the derivation, a definition of dynamical surface gravity is proposed. In spherical symmetry it reduces to that defined recently by one of the authors (SAH).

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