No-go theorem for spatially regular boson stars made of static nonminimally coupled massive scalar fields

TL;DR

This paper proves a no-go theorem showing that static, regular, massive scalar fields with nonminimal coupling cannot form spherically symmetric, horizonless boson stars in asymptotically flat spacetimes.

Contribution

It establishes a general no-go theorem that rules out the existence of static boson stars with nonminimal coupling, extending previous results in scalar field configurations.

Findings

Static nonminimally coupled scalar fields cannot form horizonless boson stars.

The no-go theorem applies to generic coupling parameter values.

Static scalar field configurations are incompatible with spherically symmetric, asymptotically flat spacetimes.

Abstract

We present a compact theorem which reveals the fact that static spatially regular massive scalar fields with nonminimal coupling to gravity cannot form spherically symmetric asymptotically flat horizonless matter configurations. In particular, the no-go theorem rules out the existence of boson stars made of static scalar fields with generic values of the physical parameter $\xi$ which quantifies the coupling between the spacetime curvature and the massive bosonic fields.