# 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:

- 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}

}

Other availability

Save to My Library

You must Sign In or Create an Account in order to save documents to your library.