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arxiv 1706.04989 v2 pith:UMRJAPW5 submitted 2017-06-15 gr-qc hep-th

A no-hair theorem for stars in Horndeski theories

classification gr-qc hep-th
keywords horndeskino-hairprovescalarsphericallystarsstaticsymmetric
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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Cited by 1 Pith paper

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  1. Neutron stars with primary scalar hair

    gr-qc 2026-07 unverdicted novelty 4.0

    Neutron stars with primary scalar hair in a DHOST subfamily are more compact than GR predictions and develop singularities above a critical scalar charge threshold.