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Chinese Physics C> 2018, Vol. 42> Issue(10) : 105102 DOI: 10.1088/1674-1137/42/10/105102

Quasinormal modes of a Schwarzschild black hole immersed in an electromagnetic universe

  • 1.

     Instituto de Fí

  • 2.

     Physics Department, Arts and Sciences Faculty, Eastern Mediterranean University, Famagusta, North Cyprus via Mersin 10, Turkey

  • 3.

     School of Natural Sciences, Institute for Advanced Study, 1 Einstein Drive, Princeton, NJ 08540, USA

  • 4.

      Instituto de Fí

  • We study the quasinormal modes (QNMs) of a Schwarzschild black hole immersed in an electromagnetic (EM) universe. The immersed Schwarzschild black hole (ISBH) originates from the metric of colliding EM waves with double polarization[Class. Quantum Grav. 12, 3013 (1995)]. The perturbation equations of the scalar fields for the ISBH geometry are written in the form of separable equations. We show that these equations can be transformed to the confluent Heun's equations, for which we are able to use known techniques to perform analytical quasinormal (QNM) analysis of the solutions. Furthermore, we employ numerical methods (Mashhoon and 6th-order Wentzel-Kramers-Brillouin (WKB)) to derive the QNMs. The results obtained are discussed and depicted with the appropriate plots.
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Ali Övgün, Izzet Sakalli and Joel Saavedra. Quasinormal modes of a Schwarzschild black hole immersed in an electromagnetic universe[J]. Chinese Physics C, 2018, 42(10): 105102. doi: 10.1088/1674-1137/42/10/105102
Ali Övgün, Izzet Sakalli and Joel Saavedra. Quasinormal modes of a Schwarzschild black hole immersed in an electromagnetic universe[J]. Chinese Physics C, 2018, 42(10): 105102.  doi: 10.1088/1674-1137/42/10/105102 shu
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Received: 2018-05-16
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Quasinormal modes of a Schwarzschild black hole immersed in an electromagnetic universe

  • 1. Instituto de Fí
  • 2. Physics Department, Arts and Sciences Faculty, Eastern Mediterranean University, Famagusta, North Cyprus via Mersin 10, Turkey
  • 3. School of Natural Sciences, Institute for Advanced Study, 1 Einstein Drive, Princeton, NJ 08540, USA
  • 4.  Instituto de Fí
  • Received Date: 2018-05-16
  • Available Online: 2018-10-05

Abstract: We study the quasinormal modes (QNMs) of a Schwarzschild black hole immersed in an electromagnetic (EM) universe. The immersed Schwarzschild black hole (ISBH) originates from the metric of colliding EM waves with double polarization[Class. Quantum Grav. 12, 3013 (1995)]. The perturbation equations of the scalar fields for the ISBH geometry are written in the form of separable equations. We show that these equations can be transformed to the confluent Heun's equations, for which we are able to use known techniques to perform analytical quasinormal (QNM) analysis of the solutions. Furthermore, we employ numerical methods (Mashhoon and 6th-order Wentzel-Kramers-Brillouin (WKB)) to derive the QNMs. The results obtained are discussed and depicted with the appropriate plots.

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