Universal criterion for black hole stability

Details Universal criterion for black hole stability Universal criterion for black hole stability

2005-04-14

arxiv.org/abs/gr-qc/0504064v2

Phys.Rev. D72 (2005) 044005

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages Latex, no figures; an equation added

Scientific paper

10.1103/PhysRevD.72.044005

It is shown that a non-rotating macroscopic black hole with very large horizon area can remain in stable thermal equilibrium with Hawking radiation provided {\it its mass, as a function of horizon area, exceeds its microcanonical entropy, i.e., its entropy when isolated, without thermal radiation or accretion, and having a constant horizon area} (in appropriate units). The analysis does not use properties of specific classical spacetimes, but depends only on the plausible assumption that the mass is a function of the horizon area for large areas.

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