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Universal criterion for black hole stability
Phys. Rev. D 72, 044005 – Published 5 August, 2005
DOI: https://doi.org/10.1103/PhysRevD.72.044005
Abstract
It is shown that a nonrotating macroscopic black hole with very large horizon area can remain in stable thermal equilibrium with Hawking radiation provided 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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