Analytical solutions in a cosmic string Born–Infeld-dilaton black hole geometry: quasinormal modes and quantization

İzzet Sakallı, Kimet Jusufi, ALI OVGUN

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13 Scopus citations

Abstract

Chargeless massive scalar fields are studied in the spacetime of Born–Infeld dilaton black holes (BIDBHs). We first separate the massive covariant Klein–Gordon equation into radial and angular parts and obtain the exact solution of the radial equation in terms of the confluent Heun functions. Using the obtained radial solution, we show how one gets the exact quasinormal modes for some particular cases. We also solve the Klein–Gordon equation solution in the spacetime of a BIDBHs with a cosmic string in which we point out the effect of the conical deficit on the BIDBHs. The analytical solutions of the radial and angular parts are obtained in terms of the confluent Heun functions. Finally, we study the quantization of the BIDBH. While doing this, we also discuss the Hawking radiation in terms of the effective temperature.

Original languageEnglish
Article number125
JournalGeneral Relativity and Gravitation
Volume50
Issue number10
DOIs
StatePublished - 1 Oct 2018

Keywords

  • Black hole
  • Born–Infeld
  • Confluent Heun function
  • Cosmic string
  • Dilaton
  • Hawking radiation
  • Klein–Gordon
  • Quasinormal modes

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