# The portrait of eikonal instability in Lovelock theories

## Abstract

Perturbations and eikonal instabilities of black holes and branes in the Einstein-Gauss-Bonnet theory and its Lovelock generalization were considered in the literature for several particular cases, where the asymptotic conditions (flat, dS, AdS), the number of spacetime dimensions D , non-vanishing coupling constants (α{sub 1}, α{sub 2}, α{sub 3} etc.) and other parameters have been chosen in a specific way. Here we give a comprehensive analysis of the eikonal instabilities of black holes and branes for the most general Lovelock theory, not limited by any of the above cases. Although the part of the stability analysis is performed here purely analytically and formulated in terms of the inequalities for the black hole parameters, the most general case is treated numerically and the accurate regions of instabilities are presented. The shared Mathematica® code allows the reader to construct the regions of eikonal instability for any desired values of the parameters.

- Authors:

- Theoretical Astrophysics, Eberhard-Karls University of Tübingen, Tübingen 72076 (Germany)
- Centro de Matemática, Computação e Cognição, Universidade Federal do ABC (UFABC), Rua Abolição, CEP: 09210-180, Santo André, SP (Brazil)

- Publication Date:

- OSTI Identifier:
- 22676186

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2017; Journal Issue: 05; Other Information: Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ANTI DE SITTER SPACE; ASYMPTOTIC SOLUTIONS; BLACK HOLES; BOUNDARY CONDITIONS; BRANES; COUPLING CONSTANTS; DE SITTER SPACE; DISTURBANCES; EIKONAL APPROXIMATION; INSTABILITY; PERTURBATION THEORY; SPACE-TIME; STABILITY

### Citation Formats

```
Konoplya, R.A., and Zhidenko, A., E-mail: roman.konoplya@gmail.com, E-mail: olexandr.zhydenko@ufabc.edu.br.
```*The portrait of eikonal instability in Lovelock theories*. United States: N. p., 2017.
Web. doi:10.1088/1475-7516/2017/05/050.

```
Konoplya, R.A., & Zhidenko, A., E-mail: roman.konoplya@gmail.com, E-mail: olexandr.zhydenko@ufabc.edu.br.
```*The portrait of eikonal instability in Lovelock theories*. United States. doi:10.1088/1475-7516/2017/05/050.

```
Konoplya, R.A., and Zhidenko, A., E-mail: roman.konoplya@gmail.com, E-mail: olexandr.zhydenko@ufabc.edu.br. Mon .
"The portrait of eikonal instability in Lovelock theories". United States.
doi:10.1088/1475-7516/2017/05/050.
```

```
@article{osti_22676186,
```

title = {The portrait of eikonal instability in Lovelock theories},

author = {Konoplya, R.A. and Zhidenko, A., E-mail: roman.konoplya@gmail.com, E-mail: olexandr.zhydenko@ufabc.edu.br},

abstractNote = {Perturbations and eikonal instabilities of black holes and branes in the Einstein-Gauss-Bonnet theory and its Lovelock generalization were considered in the literature for several particular cases, where the asymptotic conditions (flat, dS, AdS), the number of spacetime dimensions D , non-vanishing coupling constants (α{sub 1}, α{sub 2}, α{sub 3} etc.) and other parameters have been chosen in a specific way. Here we give a comprehensive analysis of the eikonal instabilities of black holes and branes for the most general Lovelock theory, not limited by any of the above cases. Although the part of the stability analysis is performed here purely analytically and formulated in terms of the inequalities for the black hole parameters, the most general case is treated numerically and the accurate regions of instabilities are presented. The shared Mathematica® code allows the reader to construct the regions of eikonal instability for any desired values of the parameters.},

doi = {10.1088/1475-7516/2017/05/050},

journal = {Journal of Cosmology and Astroparticle Physics},

number = 05,

volume = 2017,

place = {United States},

year = {Mon May 01 00:00:00 EDT 2017},

month = {Mon May 01 00:00:00 EDT 2017}

}