Stationary spacetimes with time-dependent real scalar fields
General Relativity and Quantum Cosmology
2021-05-07 v2 High Energy Physics - Theory
Abstract
In 1981 Wyman classified the solutions of the Einstein--Klein--Gordon equations with static spherically symmetric spacetime metric and vanishing scalar potential. For one of these classes, the scalar field linearly grows with time. We generalize this symmetry noninheriting solution, perturbatively, to a rotating one and extend the static solution exactly to arbitrary spacetime dimensions. Furthermore, we investigate the existence of nonminimally coupled, time-dependent real scalar fields on top of static black holes, and prove a no-hair theorem for stealth scalar fields on the Schwarzschild background.
Cite
@article{arxiv.2101.05816,
title = {Stationary spacetimes with time-dependent real scalar fields},
author = {Edgardo Franzin and Ivica Smolić},
journal= {arXiv preprint arXiv:2101.05816},
year = {2021}
}
Comments
17 pages, 1 figure; minor corrections, more refs, accepted in CQG