A no-hair theorem for stars in Horndeski theories
arXiv:1706.04989 · doi:10.1088/1475-7516/2017/07/037
Abstract
We consider a generic scalar-tensor theory involving a shift-symmetric scalar field and minimally coupled matter fields. We prove that the Noether current associated with shift-symmetry vanishes in regular, spherically symmetric and static spacetimes. We use this fact to prove the absence of scalar hair for spherically symmetric and static stars in Horndeski and beyond theories. We carefully detail the validity of this no-hair theorem.
arXiv comment10 pages, 1 figure; important reference added in v2
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