Hairy black holes, scalar charges and extended thermodynamics
General Relativity and Quantum Cosmology
2023-08-15 v2 High Energy Physics - Theory
Abstract
We explore the use of the recently defined scalar charge which satisfies a Gauss law in stationary spacetimes, in the context of theories with a scalar potential. We find new conditions that this potential has to satisfy in order to allow for static, asymptotically-flat black-hole solutions with regular horizons and non-trivial scalar field. These conditions are equivalent to some of the known ``no-hair'' theorems (such as Bekenstein's). We study the extended thermodynamics of these systems, deriving a first law and a Smarr formula. As an example, we study the Anabal\'on-Oliva hairy black hole
Keywords
Cite
@article{arxiv.2308.04994,
title = {Hairy black holes, scalar charges and extended thermodynamics},
author = {Romina Ballesteros and Tomás Ortín},
journal= {arXiv preprint arXiv:2308.04994},
year = {2023}
}
Comments
author name corrected