No hair for spherically symmetric neutral reflecting stars: Nonminimally coupled massive scalar fields

Recent no-hair theorems have revealed the intriguing fact that horizonless stars with compact reflecting surfaces 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 p...

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Bibliographic Details
Main Author: Shahar Hod
Format: Article
Language:English
Published: Elsevier 2017-10-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S037026931730655X
Description
Summary:Recent no-hair theorems have revealed the intriguing fact that horizonless stars with compact reflecting surfaces 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 massive scalar fields with non-minimal coupling to gravity. Interestingly, our no-hair theorem is valid for generic values of the dimensionless field-curvature coupling parameter ξ.
ISSN:0370-2693