On the Noether charge form of the first law of black hole mechanics

Details On the Noether charge form of the first law of black hole mechanics On the Noether charge form of the first law of black hole mechanics

1998-09-17

arxiv.org/abs/gr-qc/9809050v4

Phys.Rev. D59 (1999) 064009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Latex, 16 pages, arguments on gauge conditions and near-stationary entropy are added, accepted for publication in Physical Rev

Scientific paper

10.1103/PhysRevD.59.064009

The first law of black hole mechanics was derived by Wald in a general covariant theory of gravity for stationary variations around a stationary black hole. It is formulated in terms of Noether charges, and has many advantages. In this paper several issues are discussed to strengthen the validity of the Noether charge form of the first law. In particular, a gauge condition used in the derivation is justified. After that, we justify the generalization to non-stationary variations done by Iyer-Wald.

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