# On the stability of cubic galileon accretion

## Abstract

We examine the linear stability of the nongravitating steady-state galileon accretion for the case of a Schwarzcshild black hole. Considering the galileon action up to the cubic term in a static and spherically symmetric background we obtain the general solution for the equation of motion which is divided into two branches. By perturbing this solution we define an effective metric which determines the propagation of fluctuations. In this general picture we establish the position of the sonic horizon together with the matching condition of the two branches on it. Restricting to the case of a Schwarzschild background, we show, via the analysis of the energy of the perturbations and its time derivative, that the accreting field is linearly stable. - Highlights: • The linear stability of the nongravitating galileon accretion for the Schwarzschild BH is examined. • The galileon action up to the cubic term in a static and spherically symmetric background is considered. • It is shown that the accreting field is linearly stable.

- Authors:

- Publication Date:

- OSTI Identifier:
- 22701526

- Resource Type:
- Journal Article

- Journal Name:
- Annals of Physics

- Additional Journal Information:
- Journal Volume: 384; Other Information: Copyright (c) 2017 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0003-4916

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BLACK HOLES; EQUATIONS OF MOTION; MATHEMATICAL SOLUTIONS; PERTURBATION THEORY

### Citation Formats

```
Perez Bergliaffa, Santiago Esteban, and Maier, Rodrigo.
```*On the stability of cubic galileon accretion*. United States: N. p., 2017.
Web. doi:10.1016/J.AOP.2017.06.014.

```
Perez Bergliaffa, Santiago Esteban, & Maier, Rodrigo.
```*On the stability of cubic galileon accretion*. United States. doi:10.1016/J.AOP.2017.06.014.

```
Perez Bergliaffa, Santiago Esteban, and Maier, Rodrigo. Fri .
"On the stability of cubic galileon accretion". United States. doi:10.1016/J.AOP.2017.06.014.
```

```
@article{osti_22701526,
```

title = {On the stability of cubic galileon accretion},

author = {Perez Bergliaffa, Santiago Esteban and Maier, Rodrigo},

abstractNote = {We examine the linear stability of the nongravitating steady-state galileon accretion for the case of a Schwarzcshild black hole. Considering the galileon action up to the cubic term in a static and spherically symmetric background we obtain the general solution for the equation of motion which is divided into two branches. By perturbing this solution we define an effective metric which determines the propagation of fluctuations. In this general picture we establish the position of the sonic horizon together with the matching condition of the two branches on it. Restricting to the case of a Schwarzschild background, we show, via the analysis of the energy of the perturbations and its time derivative, that the accreting field is linearly stable. - Highlights: • The linear stability of the nongravitating galileon accretion for the Schwarzschild BH is examined. • The galileon action up to the cubic term in a static and spherically symmetric background is considered. • It is shown that the accreting field is linearly stable.},

doi = {10.1016/J.AOP.2017.06.014},

journal = {Annals of Physics},

issn = {0003-4916},

number = ,

volume = 384,

place = {United States},

year = {2017},

month = {9}

}