# Charged Galileon black holes

## Abstract

We consider an Abelian gauge field coupled to a particular truncation of Horndeski theory. The Galileon field has translation symmetry and couples non minimally both to the metric and the gauge field. When the gauge-scalar coupling is zero the gauge field reduces to a standard Maxwell field. By taking into account the symmetries of the action, we construct charged black hole solutions. Allowing the scalar field to softly break symmetries of spacetime we construct black holes where the scalar field is regular on the black hole event horizon. Some of these solutions can be interpreted as the equivalent of Reissner-Nordstrom black holes of scalar tensor theories with a non trivial scalar field. A self tuning black hole solution found previously is extended to the presence of dyonic charge without affecting whatsoever the self tuning of a large positive cosmological constant. Finally, for a general shift invariant scalar tensor theory we demonstrate that the scalar field Ansatz and method we employ are mathematically compatible with the field equations. This opens up the possibility for novel searches of hairy black holes in a far more general setting of Horndeski theory.

- Authors:

- Laboratoire de Physique Théorique (LPT), Univ. Paris-Sud, CNRS UMR 8627, F-91405 Orsay (France)
- Instituto de Matemática y Física, Universidad de Talca, Casilla 747, Talca (Chile)

- Publication Date:

- OSTI Identifier:
- 22525830

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Cosmology and Astroparticle Physics

- Additional Journal Information:
- Journal Volume: 2015; Journal Issue: 05; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1475-7516

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; BLACK HOLES; COSMOLOGICAL CONSTANT; COUPLING; FIELD EQUATIONS; MATHEMATICAL SOLUTIONS; METRICS; SCALAR FIELDS; SCALARS; SPACE-TIME; SYMMETRY; TENSORS

### Citation Formats

```
Babichev, Eugeny, Charmousis, Christos, and Hassaine, Mokhtar, E-mail: eugeny.babichev@th.u-psud.fr, E-mail: christos.charmousis@th.u-psud.fr, E-mail: hassaine@inst-mat.utalca.cl.
```*Charged Galileon black holes*. United States: N. p., 2015.
Web. doi:10.1088/1475-7516/2015/05/031.

```
Babichev, Eugeny, Charmousis, Christos, & Hassaine, Mokhtar, E-mail: eugeny.babichev@th.u-psud.fr, E-mail: christos.charmousis@th.u-psud.fr, E-mail: hassaine@inst-mat.utalca.cl.
```*Charged Galileon black holes*. United States. doi:10.1088/1475-7516/2015/05/031.

```
Babichev, Eugeny, Charmousis, Christos, and Hassaine, Mokhtar, E-mail: eugeny.babichev@th.u-psud.fr, E-mail: christos.charmousis@th.u-psud.fr, E-mail: hassaine@inst-mat.utalca.cl. Fri .
"Charged Galileon black holes". United States. doi:10.1088/1475-7516/2015/05/031.
```

```
@article{osti_22525830,
```

title = {Charged Galileon black holes},

author = {Babichev, Eugeny and Charmousis, Christos and Hassaine, Mokhtar, E-mail: eugeny.babichev@th.u-psud.fr, E-mail: christos.charmousis@th.u-psud.fr, E-mail: hassaine@inst-mat.utalca.cl},

abstractNote = {We consider an Abelian gauge field coupled to a particular truncation of Horndeski theory. The Galileon field has translation symmetry and couples non minimally both to the metric and the gauge field. When the gauge-scalar coupling is zero the gauge field reduces to a standard Maxwell field. By taking into account the symmetries of the action, we construct charged black hole solutions. Allowing the scalar field to softly break symmetries of spacetime we construct black holes where the scalar field is regular on the black hole event horizon. Some of these solutions can be interpreted as the equivalent of Reissner-Nordstrom black holes of scalar tensor theories with a non trivial scalar field. A self tuning black hole solution found previously is extended to the presence of dyonic charge without affecting whatsoever the self tuning of a large positive cosmological constant. Finally, for a general shift invariant scalar tensor theory we demonstrate that the scalar field Ansatz and method we employ are mathematically compatible with the field equations. This opens up the possibility for novel searches of hairy black holes in a far more general setting of Horndeski theory.},

doi = {10.1088/1475-7516/2015/05/031},

journal = {Journal of Cosmology and Astroparticle Physics},

issn = {1475-7516},

number = 05,

volume = 2015,

place = {United States},

year = {2015},

month = {5}

}