"No-Scalar-Hair" Theorems for Nonminimally Coupled Fields with Quartic Self-Interaction
General Relativity and Quantum Cosmology
2009-11-07 v1 High Energy Physics - Theory
Abstract
Self-gravitating scalar fields with nonminimal coupling to gravity and having a quartic self-interaction are considered in the domain of outer communications of a static black hole. It is shown that there is no value of the nonminimal coupling parameter for which nontrivial static black hole solutions exist. This result establishes the correctness of Bekenstein ``no-scalar-hair'' conjecture for quartic self-interactions.
Keywords
Cite
@article{arxiv.gr-qc/0212050,
title = {"No-Scalar-Hair" Theorems for Nonminimally Coupled Fields with Quartic Self-Interaction},
author = {Eloy Ayón-Beato},
journal= {arXiv preprint arXiv:gr-qc/0212050},
year = {2009}
}
Comments
8 pages, RevTeX 4