Hawking radiation and propagation of massive charged scalar field on a three-dimensional Gödel black hole

P. A. González, Ali Övgün, Joel Saavedra, Yerko Vásquez

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14 Scopus citations

Abstract

In this paper we consider the three-dimensional Gödel black hole as a background and we study the vector particle tunneling from this background in order to obtain the Hawking temperature. Then, we study the propagation of a massive charged scalar field and we find the quasinormal modes analytically, which turns out be unstable as a consequence of the existence of closed time-like curves. Also, we consider the flux at the horizon and at infinity, and we compute the reflection and transmission coefficients as well as the absorption cross section. Mainly, we show that massive charged scalar waves can be superradiantly amplified by the three-dimensional Gödel black hole and that the coefficients have an oscillatory behavior. Moreover, the absorption cross section is null at the high frequency limit and for certain values of the frequency.

Original languageEnglish
Article number62
JournalGeneral Relativity and Gravitation
Volume50
Issue number6
DOIs
StatePublished - 1 Jun 2018
Externally publishedYes

Keywords

  • Greybody factors
  • Gödel black hole
  • Hawking radiation
  • Quantum tunneling
  • Quasinormal modes

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