No-go theorem for false vacuum black holes
General Relativity and Quantum Cosmology
2009-10-31 v2
Abstract
We study the possibility of non-singular black hole solutions in the theory of general relativity coupled to a non-linear scalar field with a positive potential possessing two minima: a `false vacuum' with positive energy and a `true vacuum' with zero energy. Assuming that the scalar field starts at the false vacuum at the origin and comes to the true vacuum at spatial infinity, we prove a no-go theorem by extending a no-hair theorem to the black hole interior: no smooth solutions exist which interpolate between the local de Sitter solution near the origin and the asymptotic Schwarzschild solution through a regular event horizon or several horizons.
Cite
@article{arxiv.gr-qc/0008076,
title = {No-go theorem for false vacuum black holes},
author = {Dmitri V. Gal'tsov and Jose' P. S. Lemos},
journal= {arXiv preprint arXiv:gr-qc/0008076},
year = {2009}
}
Comments
16 pages, 1 figure, Latex, some references added, to appear in Classical and Quantum Gravity