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arXiv · 1709.01933

No nonminimally coupled massless scalar hair for spherically symmetric neutral reflecting stars

Shahar Hod
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Abstract

It has recently been proved that horizonless compact stars with reflecting boundary conditions {\it cannot} support spatially regular matter configurations made of minimally coupled scalar fields, vector fields, and tensor fields. In the present paper we extend this intriguing no-hair property to the physically interesting regime of scalar fields with {\it nonminimal} coupling to gravity. In particular, we prove that static spherically symmetric configurations made of nonminimally coupled massless scalar fields cannot be supported by compact reflecting stars.

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Shahar Hod. 2017-09-06. No nonminimally coupled massless scalar hair for spherically symmetric neutral reflecting stars. https://doi.org/10.1103/physrevd.96.024019

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