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Quasinormal modes for a non-minimally coupled scalar field in a five-dimensional Einstein–Power–Maxwell background

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Abstract

We study the propagation of massless scalar fields non-minimally coupled to gravity in the background of five-dimensional Einstein–Power–Maxwell black holes, and using the WKB and the pseudospectral Chebyshev methods, we obtain the quasinormal frequencies (QNFs), which allow us to show the existence of stable and unstable QNFs depending on the power k of the nonlinear electrodynamics, the \(\xi\) parameter, which controls the strength of the non-minimal coupling, and on the size of the black hole.

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Data Availability Statement

We do not have any additional data to present. All the numerical results are summarized in several tables in the manuscript.

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Acknowledgements

We thank the referee for his/her valuable comments and suggestions. This work is partially supported by ANID Chile through FONDECYT Grant N° 1220871 (P.A.G., and Y. V.), and FONDECYT Grant N° 1210635 and Nº 1220065 (J. S.). The author A. R. acknowledges Universidad de Tarapacá for financial support.

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Authors and Affiliations

  1. Sede Esmeralda, Universidad de Tarapacá, Avda. Luis Emilio Recabarren 2477, Iquique, Chile

    Ángel Rincón

  2. Facultad de Ingeniería y Ciencias, Universidad Diego Portales, Avenida Ejército Libertador 441, Casilla 298-V, Santiago, Chile

    P. A. González

  3. Departamento de Ciencias Físicas, Universidad de la Frontera, Casilla 54-D, 4811186, Temuco, Chile

    Grigoris Panotopoulos

  4. Instituto de Física, Pontificia Universidad Católica de Valparaíso, Casilla, 4950, Valparaíso, Chile

    Joel Saavedra

  5. Departamento de Física, Facultad de Ciencias, Universidad de La Serena, Avenida Cisternas 1200, La Serena, Chile

    Yerko Vásquez

Authors
  1. Ángel Rincón
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  2. P. A. González
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  3. Grigoris Panotopoulos
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  4. Joel Saavedra
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  5. Yerko Vásquez
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Corresponding author

Correspondence to Ángel Rincón.

Appendix: Numerical values

Appendix: Numerical values

See Tables 9, 10, 11, 12, 13, and 14.

Table 9 QNFs for scalar perturbations via the WKB method for \(q=0.1\), \(\mu =2\), \(l=5\) and \(k=0.75\) for several values of the non-minimal coupling parameter \(\xi\)
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Table 10 QNFs for scalar perturbations via the WKB method for \(q \approx 1.39\), \(\mu =2\), \(l=5\) and \(k=0.75\) for several values of the non-minimal coupling parameter \(\xi\)
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Table 11 QNFs for scalar perturbations via the WKB method for \(q=0.1\), \(\mu =2\), \(l=5\) and \(k=1.5\) for several values of the non-minimal coupling parameter \(\xi\)
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Table 12 QNFs for scalar perturbations via the WKB method for \(q=1.27\), \(\mu =2\), \(l=5\) and \(k=1.5\) for several values of the non-minimal coupling parameter \(\xi\)
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Table 13 QNFs for scalar perturbations via the WKB method for \(q=0.1\), \(\mu =2\), \(l=5\) and \(k=1.75\) for several values of the non-minimal coupling parameter \(\xi\)
Full size table
Table 14 QNFs for scalar perturbations via the WKB method for \(q=1\), \(\mu =2\), \(l=5\) and \(k=1.75\) for several values of the non-minimal coupling parameter \(\xi\)
Full size table

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Rincón, Á., González, P.A., Panotopoulos, G. et al. Quasinormal modes for a non-minimally coupled scalar field in a five-dimensional Einstein–Power–Maxwell background. Eur. Phys. J. Plus 137, 1278 (2022). https://doi.org/10.1140/epjp/s13360-022-03438-4

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