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Title: A no-hair theorem for stars in Horndeski theories

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.

Authors:
; ;  [1]
  1. Laboratoire de Physique Théorique, CNRS, Univ. Paris-Sud, Université Paris-Saclay, 91405 Orsay (France)
Publication Date:
OSTI Identifier:
22676090
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2017; Journal Issue: 07; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; SCALAR FIELDS; SPHERICAL CONFIGURATION; STARS; SYMMETRY

Citation Formats

Lehébel, A., Babichev, E., and Charmousis, C., E-mail: antoine.lehebel@th.u-psud.fr, E-mail: eugeny.babichev@th.u-psud.fr, E-mail: christos.charmousis@th.u-psud.fr. A no-hair theorem for stars in Horndeski theories. United States: N. p., 2017. Web. doi:10.1088/1475-7516/2017/07/037.
Lehébel, A., Babichev, E., & Charmousis, C., E-mail: antoine.lehebel@th.u-psud.fr, E-mail: eugeny.babichev@th.u-psud.fr, E-mail: christos.charmousis@th.u-psud.fr. A no-hair theorem for stars in Horndeski theories. United States. doi:10.1088/1475-7516/2017/07/037.
Lehébel, A., Babichev, E., and Charmousis, C., E-mail: antoine.lehebel@th.u-psud.fr, E-mail: eugeny.babichev@th.u-psud.fr, E-mail: christos.charmousis@th.u-psud.fr. Sat . "A no-hair theorem for stars in Horndeski theories". United States. doi:10.1088/1475-7516/2017/07/037.
@article{osti_22676090,
title = {A no-hair theorem for stars in Horndeski theories},
author = {Lehébel, A. and Babichev, E. and Charmousis, C., E-mail: antoine.lehebel@th.u-psud.fr, E-mail: eugeny.babichev@th.u-psud.fr, E-mail: christos.charmousis@th.u-psud.fr},
abstractNote = {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.},
doi = {10.1088/1475-7516/2017/07/037},
journal = {Journal of Cosmology and Astroparticle Physics},
number = 07,
volume = 2017,
place = {United States},
year = {Sat Jul 01 00:00:00 EDT 2017},
month = {Sat Jul 01 00:00:00 EDT 2017}
}