Dressing a black hole with a time-dependent Galileon
Abstract
We present a class of exact scalar-tensor black holes for a shift-symmetric part of the Horndeski action. The action includes a higher order scalar tensor interaction term. We find that for a static and spherically symmetric space-time, the scalar field, if time dependent, can be non-trivial and regular thus circumventing in an interesting way no-hair arguments for gallileons. Furthermore, within this class we find a stealth Schwarzschild and a partially self-tuned de-Sitter Schwarzschild black hole, both exhibiting a non trivial and regular space and time dependent scalar. In the latter solution the bulk vacuum energy is screened from a necessarily smaller geometric effective de Sitter vacuum via an integration constant associated to the time dependent scalar field.
Cite
@article{arxiv.1312.3204,
title = {Dressing a black hole with a time-dependent Galileon},
author = {Eugeny Babichev and Christos Charmousis},
journal= {arXiv preprint arXiv:1312.3204},
year = {2014}
}
Comments
v2: references added; v3: matches published version