Journal
GENERAL RELATIVITY AND GRAVITATION
Volume 50, Issue 6, Pages -Publisher
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10714-018-2389-x
Keywords
Godel black hole; Hawking radiation; Quantum tunneling; Quasinormal modes; Greybody factors
Funding
- Comision Nacional de Ciencias y Tecnologia through FONDECYT [3170035, 11140674]
- Direccion de Investigacion y Desarrollo de la Universidad de La Serena
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In this paper we consider the three-dimensional Godel 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 Godel 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.
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