Non-Existence of Black Holes with Non-Canonical Scalar Fields
General Relativity and Quantum Cosmology
2015-08-18 v3 Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
Abstract
We study the existence of stationary black holes with a non-canonical scalar field as a matter source. We prove a simple black hole no-hair theorem which rules out the existence of asymptotically flat black holes which are static or stationary and axisymmetric possessing scalar hair for a wide class of non-canonical scalar field theories. This applies to scalar field theories which are of the form of K-essence theories. In particular, we rule out the existence of such black holes in the ghost condensate model, and in large sectors of the Dirac-Born-Infeld model.
Keywords
Cite
@article{arxiv.1401.8203,
title = {Non-Existence of Black Holes with Non-Canonical Scalar Fields},
author = {Alexander A. H. Graham and Rahul Jha},
journal= {arXiv preprint arXiv:1401.8203},
year = {2015}
}
Comments
6 pages. v2: typos corrected, title changed and some additional comments added in the conclusion. Matches published version. v3: errors corrected, references added