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arXiv · 2005.03489

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

Shahar Hod
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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 $\xi$.

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Shahar Hod. 2020-05-06. No hair for spherically symmetric neutral reflecting stars: nonminimally coupled massive scalar fields. https://doi.org/10.1016/j.physletb.2017.08.033

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