Remarks on Conserved Quantities and Entropy of BTZ Black Hole Solutions. Part I: the General Setting

Details Remarks on Conserved Quantities and Entropy of BTZ Black Hole Solutions. Part I: the General Setting Remarks on Conserved Quantities and Entropy of BTZ Black Hole Solutions. Part I: the General Setting

1999-02-22

arxiv.org/abs/gr-qc/9902063v2

Phys.Rev. D60 (1999) 124012

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

PlainTEX, 16 pages. Revised version 1.1

Scientific paper

10.1103/PhysRevD.60.124012

The BTZ stationary black hole solution is considered and its mass and angular momentum are calculated by means of Noether theorem. In particular, relative conserved quantities with respect to a suitably fixed background are discussed. Entropy is then computed in a geometric and macroscopic framework, so that it satisfies the first principle of thermodynamics. In order to compare this more general framework to the prescription by Wald et al. we construct the maximal extension of the BTZ horizon by means of Kruskal-like coordinates. A discussion about the different features of the two methods for computing entropy is finally developed.

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