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A no-hair theorem for stars in Horndeski theories

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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… Click to show full 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.

Keywords: cosmology; hair theorem; horndeski theories; theorem stars; stars horndeski

Journal Title: Journal of Cosmology and Astroparticle Physics
Year Published: 2017

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