The Fourth Law of Black Hole Thermodynamics

Details The Fourth Law of Black Hole Thermodynamics The Fourth Law of Black Hole Thermodynamics

1993-06-10

arxiv.org/abs/gr-qc/9306014v1

Nucl.Phys. B410 (1993) 155-172; Erratum-ibid. B449 (1995) 433

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages (two figures), Plain Tex. Preprint KONS-RGKU-93-11. To appear in Nucl. Phys. B (1993)

Scientific paper

10.1016/0550-3213(93)90577-C

We show that black holes fulfill the scaling laws arising in critical transitions. In particular, we find that in the transition from negative to positive values the heat capacities $C_{JQ}$, $C_{\Omega Q}$ and $C_{J\Phi}$ give rise to critical exponents satisfying the scaling laws. The three transitions have the same critical exponents as predicted by the universality Hypothesis. We also briefly discuss the implications of this result with regards to the connections among gravitation, quantum mechanics and statistical physics.

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