No hair for spherically symmetric neutral reflecting stars: nonminimally coupled massive scalar fields
General Relativity and Quantum Cosmology
2020-05-13 v1 High Energy Astrophysical Phenomena
High Energy Physics - Theory
Abstract
Recent no-hair theorems have revealed the intriguing fact that horizonless stars with compact reflecting surfaces {\it cannot} support non-linear matter configurations made of scalar, vector, and tensor fields. In the present paper we extend the regime of validity of these no-hair theorems by explicitly proving that spherically symmetric compact reflecting stars cannot support static configurations made of {\it massive} scalar fields with {\it non}-minimal coupling to gravity. Interestingly, our no-hair theorem is valid for {\it generic} values of the dimensionless field-curvature coupling parameter .
Keywords
Cite
@article{arxiv.2005.03489,
title = {No hair for spherically symmetric neutral reflecting stars: nonminimally coupled massive scalar fields},
author = {Shahar Hod},
journal= {arXiv preprint arXiv:2005.03489},
year = {2020}
}
Comments
7 pages. arXiv admin note: text overlap with arXiv:2002.05903, arXiv:1709.01933