论文标题

没有用于球形对称中性反射星的头发:非最小耦合的巨大标量场

No hair for spherically symmetric neutral reflecting stars: nonminimally coupled massive scalar fields

论文作者

Hod, Shahar

论文摘要

最近的无头发定理揭示了一个有趣的事实,即具有紧凑的反射表面{\ IT不能}支持由标量,矢量和张量磁场制成的非线性物质配置。在本文中,我们通过明确证明了球形对称的反射恒星不能支持{\ it iT} scalial stalar量的静态构型,并以{\ it non} - non} -minimal耦合到GREATITY的静态配置,从而扩展了这些无毛定理的有效性状态。有趣的是,我们的无发品定理对无量纲展界耦合参数$ξ$的{\ it itenic}值有效。

Recent no-hair theorems have revealed the intriguing fact that horizonless stars with compact reflecting surfaces {\it cannot} support non-linear matter configurations made of scalar, vector, and tensor fields. In the present paper we extend the regime of validity of these no-hair theorems by explicitly proving that spherically symmetric compact reflecting stars cannot support static configurations made of {\it massive} scalar fields with {\it non}-minimal coupling to gravity. Interestingly, our no-hair theorem is valid for {\it generic} values of the dimensionless field-curvature coupling parameter $ξ$.

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