Stability of generalized Einstein-Maxwell-scalar black holes

Radouane Gannouji (Instituto de Física, Pontificia Universidad Católica de Valparaíso, Av. Brasil, Valparaíso, 2950, Chile) ; Yolbeiker Baez (Instituto de Física, Pontificia Universidad Católica de Valparaíso, Av. Brasil, Valparaíso, 2950, Chile; Universidad Técnica Federico Santa María, Av. España, Valparaíso, 1680, Chile)

We study the stability of static black holes in generalized Einstein-Maxwell-scalar theories. We derive the master equations for the odd and even parity perturbations. The sufficient and necessary conditions for the stability of black holes under odd-parity perturbations are derived. We show that these conditions are usually not similar to energy conditions even in the simplest case of a minimally coupled scalar field. We obtain the necessary conditions for the stability of even-parity perturbations. We also derived the speed of propagation of the five degrees of freedom and obtained the class of theories for which all degrees of freedom propagate at the speed of light. Finally, we have applied our results to various black holes in nonlinear electrodynamics, scalar-tensor theories and Einstein-Maxwell-dilaton theory. For the latter, we have also calculated the quasinormal modes.

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      "surname": "Baez", 
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      "value": "We study the stability of static black holes in generalized Einstein-Maxwell-scalar theories. We derive the master equations for the odd and even parity perturbations. The sufficient and necessary conditions for the stability of black holes under odd-parity perturbations are derived. We show that these conditions are usually not similar to energy conditions even in the simplest case of a minimally coupled scalar field. We obtain the necessary conditions for the stability of even-parity perturbations. We also derived the speed of propagation of the five degrees of freedom and obtained the class of theories for which all degrees of freedom propagate at the speed of light. Finally, we have applied our results to various black holes in nonlinear electrodynamics, scalar-tensor theories and Einstein-Maxwell-dilaton theory. For the latter, we have also calculated the quasinormal modes."
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Published on:
03 February 2022
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2022 (2022)
Issue 2
Pages 1-39
DOI:
https://doi.org/10.1007/JHEP02(2022)020
arXiv:
2112.00109
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: