Stationary Black Holes with Time-Dependent Scalar Fields
General Relativity and Quantum Cosmology
2014-09-05 v2 Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
Abstract
It has been well known since the 1970s that stationary black holes do not generically support scalar hair. Most of the no-hair theorems which support this depend crucially upon the assumption that the scalar field has no time dependence. Here we fill in this omission by ruling out the existence of stationary black hole solutions even when the scalar field may have time dependence. Our proof is fairly general, and in particular applies to non-canonical scalar fields and certain non-asymptotically flat spacetimes. It also does not rely upon the spacetime being a black hole.
Keywords
Cite
@article{arxiv.1407.6573,
title = {Stationary Black Holes with Time-Dependent Scalar Fields},
author = {Alexander A. H. Graham and Rahul Jha},
journal= {arXiv preprint arXiv:1407.6573},
year = {2014}
}
Comments
5 pages. v2: typos corrected, references added and some additional comments. Matches published version