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arXiv · 1612.04823

No-scalar-hair theorem for spherically symmetric reflecting stars

Shahar Hod
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Abstract

It is proved that spherically symmetric compact reflecting objects cannot support static bound-state configurations made of scalar fields whose self-interaction potential $V(\psi^2)$ is a monotonically increasing function of its argument. Our theorem rules out, in particular, the existence of massive scalar hair outside the surface of a spherically symmetric compact reflecting star.

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Shahar Hod. 2016-12-14. No-scalar-hair theorem for spherically symmetric reflecting stars. https://doi.org/10.1103/physrevd.94.104073

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