No hair theorems for positive \Lambda
Abstract
We extend all known black hole no-hair theorems to space-times endowed with a positive cosmological constant Specifically, we prove that static spherical black holes with cannot support scalar fields in convex potentials and Proca-massive vector fields in the region between black hole and cosmic horizons. We also demonstrate the existence of at least one type of quantum hair, and of exactly one charged solution for the Abelian Higgs model. Our method of proof can be applied to investigate other types of quantum or topological hair on black holes in the presence of a positive
Keywords
Cite
@article{arxiv.gr-qc/0702006,
title = {No hair theorems for positive \Lambda},
author = {Sourav Bhattacharya and Amitabha Lahiri},
journal= {arXiv preprint arXiv:gr-qc/0702006},
year = {2008}
}
Comments
8pp. v2: added references; comment regarding phantom field, comment that spherical symmetry is not crucial for most of the proof; version published in PRL(name changed in journal)