Black Hole Pair Creation and the Entropy Factor
Abstract
It is shown that in the instanton approximation the rate of creation of black holes is always enhanced by a factor of the exponential of the black hole entropy relative to the rate of creation of compact matter distributions (stars). This result holds for any generally covariant theory of gravitational and matter fields that can be expressed in Hamiltonian form. It generalizes the result obtained previously for the pair creation of magnetically charged black holes by a magnetic field in Einstein--Maxwell theory. The particular example of pair creation of electrically charged black holes by an electric field in Einstein--Maxwell theory is discussed in detail.
Cite
@article{arxiv.gr-qc/9412018,
title = {Black Hole Pair Creation and the Entropy Factor},
author = {J. David Brown},
journal= {arXiv preprint arXiv:gr-qc/9412018},
year = {2009}
}
Comments
(12 pages, ReVTeX) Revised version of "Pair Creation of Electrically Charged Black Holes". New section shows that the BH pair creation rate is enhanced by a factor $\exp(BH entropy)$ for any Hamiltonian gravity + matter theory