No-go theorem for static boson stars. (arXiv:1902.05230v1 [gr-qc])
<a href="http://arxiv.org/find/gr-qc/1/au:+Hod_S/0/1/0/all/0/1">Shahar Hod</a>
It is proved that self-gravitating static scalar fields whose
self-interaction potential $V(psi^2)$ is a monotonically increasing function
of its argument cannot form spherically symmetric asymptotically flat bound
matter configurations. Our compact theorem rules out, in particular, the
existence of spatially regular static boson stars made of nonlinear massive
scalar fields.
It is proved that self-gravitating static scalar fields whose
self-interaction potential $V(psi^2)$ is a monotonically increasing function
of its argument cannot form spherically symmetric asymptotically flat bound
matter configurations. Our compact theorem rules out, in particular, the
existence of spatially regular static boson stars made of nonlinear massive
scalar fields.
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