# Black holes in a cubic Galileon universe

## Abstract

We find and study the properties of black hole solutions for a subclass of Horndeski theory including the cubic Galileon term. The theory under study has shift symmetry but not reflection symmetry for the scalar field. The Galileon is assumed to have linear time dependence characterized by a velocity parameter. We give analytic 3-dimensional solutions that are akin to the BTZ solutions but with a non-trivial scalar field that modifies the effective cosmological constant. We then study the 4-dimensional asymptotically flat and de Sitter solutions. The latter present three different branches according to their effective cosmological constant. For two of these branches, we find families of black hole solutions, parametrized by the velocity of the scalar field. These spherically symmetric solutions, obtained numerically, are different from GR solutions close to the black hole event horizon, while they have the same de-Sitter asymptotic behavior. The velocity parameter represents black hole primary hair.

- Authors:

- Laboratoire de Physique Théorique, CNRS, Univ. Paris-Sud, Université Paris-Saclay, 91405 Orsay (France)

- Publication Date:

- OSTI Identifier:
- 22679473

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Cosmology and Astroparticle Physics

- Additional Journal Information:
- Journal Volume: 2016; Journal Issue: 09; 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; ASYMPTOTIC SOLUTIONS; BLACK HOLES; COSMOLOGICAL CONSTANT; DE SITTER SPACE; REFLECTION; SCALAR FIELDS; SPHERICAL CONFIGURATION; THREE-DIMENSIONAL CALCULATIONS; TIME DEPENDENCE; UNIVERSE; VELOCITY

### Citation Formats

```
Babichev, E., Charmousis, C., Lehébel, A., and Moskalets, T., E-mail: eugeny.babichev@th.u-psud.fr, E-mail: christos.charmousis@th.u-psud.fr, E-mail: antoine.lehebel@th.u-psud.fr, E-mail: tetiana.moskalets@th.u-psud.fr.
```*Black holes in a cubic Galileon universe*. United States: N. p., 2016.
Web. doi:10.1088/1475-7516/2016/09/011.

```
Babichev, E., Charmousis, C., Lehébel, A., & Moskalets, T., E-mail: eugeny.babichev@th.u-psud.fr, E-mail: christos.charmousis@th.u-psud.fr, E-mail: antoine.lehebel@th.u-psud.fr, E-mail: tetiana.moskalets@th.u-psud.fr.
```*Black holes in a cubic Galileon universe*. United States. doi:10.1088/1475-7516/2016/09/011.

```
Babichev, E., Charmousis, C., Lehébel, A., and Moskalets, T., E-mail: eugeny.babichev@th.u-psud.fr, E-mail: christos.charmousis@th.u-psud.fr, E-mail: antoine.lehebel@th.u-psud.fr, E-mail: tetiana.moskalets@th.u-psud.fr. Thu .
"Black holes in a cubic Galileon universe". United States. doi:10.1088/1475-7516/2016/09/011.
```

```
@article{osti_22679473,
```

title = {Black holes in a cubic Galileon universe},

author = {Babichev, E. and Charmousis, C. and Lehébel, A. and Moskalets, T., E-mail: eugeny.babichev@th.u-psud.fr, E-mail: christos.charmousis@th.u-psud.fr, E-mail: antoine.lehebel@th.u-psud.fr, E-mail: tetiana.moskalets@th.u-psud.fr},

abstractNote = {We find and study the properties of black hole solutions for a subclass of Horndeski theory including the cubic Galileon term. The theory under study has shift symmetry but not reflection symmetry for the scalar field. The Galileon is assumed to have linear time dependence characterized by a velocity parameter. We give analytic 3-dimensional solutions that are akin to the BTZ solutions but with a non-trivial scalar field that modifies the effective cosmological constant. We then study the 4-dimensional asymptotically flat and de Sitter solutions. The latter present three different branches according to their effective cosmological constant. For two of these branches, we find families of black hole solutions, parametrized by the velocity of the scalar field. These spherically symmetric solutions, obtained numerically, are different from GR solutions close to the black hole event horizon, while they have the same de-Sitter asymptotic behavior. The velocity parameter represents black hole primary hair.},

doi = {10.1088/1475-7516/2016/09/011},

journal = {Journal of Cosmology and Astroparticle Physics},

issn = {1475-7516},

number = 09,

volume = 2016,

place = {United States},

year = {2016},

month = {9}

}