No scalar condensations outside reflecting stars with coupling terms from Ginzburg-Landau models

preprint2022arXivOpen access

Abstract

We consider static scalar fields coupled to the gradient where the coupling also appears in next-to-leading order Ginzburg-Landau models. We study condensation behaviors of scalar fields outside regular compact reflecting stars in the asymptotically flat background. For non-negative coupling parameters, we prove that the reflecting star cannot support coupled static scalar fields.

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