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

http://arxiv.org/abs/1709.01933


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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S. Hod
Fri, 8 Sep 17
4/65

Comments: 6 pages