@article{144dd2812c6944db8f2b27353e5b8588,
title = "Hawking radiation and propagation of massive charged scalar field on a three-dimensional G{\"o}del black hole",
abstract = "In this paper we consider the three-dimensional G{\"o}del 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 G{\"o}del 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.",
keywords = "Greybody factors, G{\"o}del black hole, Hawking radiation, Quantum tunneling, Quasinormal modes",
author = "Gonz{\'a}lez, {P. A.} and Ali {\"O}vg{\"u}n and Joel Saavedra and Yerko V{\'a}squez",
note = "Funding Information: Acknowledgements This work was partially supported by the Comisi{\'o}n Nacional de Ciencias y Tec-nolog{\'i}a through FONDECYT Grants Nos. 3170035 (A{\"O}) and 11140674 (PAG) and by the Direcci{\'o}n de Investigaci{\'o}n y Desarrollo de la Universidad de La Serena (Y.V.). P. A. G. acknowledges the hospitality of the Universidad de La Serena, National Technical University of Athens and Pontificia Universidad Cat{\'o}lica de Valpara{\'i}so where part of this work was undertaken. A. {\"O}. is grateful to Prof. Douglas Singleton for hosting him as a research visitor at the California State University, Fresno. In addition A. {\"O}. would like to thank Prof. Leonard Susskind and Stanford Institute for Theoretical Physics for hospitality. Funding Information: This work was partially supported by the Comisi{\'o}n Nacional de Ciencias y Tecnolog{\'i}a through FONDECYT Grants Nos. 3170035 (A{\"O}) and 11140674 (PAG) and by the Direcci{\'o}n de Investigaci{\'o}n y Desarrollo de la Universidad de La Serena (Y.V.). P. A. G. acknowledges the hospitality of the Universidad de La Serena, National Technical University of Athens and Pontificia Universidad Cat{\'o}lica de Valpara{\'i}so where part of this work was undertaken. A. {\"O}. is grateful to Prof. Douglas Singleton for hosting him as a research visitor at the California State University, Fresno. In addition A. {\"O}. would like to thank Prof. Leonard Susskind and Stanford Institute for Theoretical Physics for hospitality. Publisher Copyright: {\textcopyright} 2018, Springer Science+Business Media, LLC, part of Springer Nature.",
year = "2018",
month = jun,
day = "1",
doi = "10.1007/s10714-018-2389-x",
language = "English",
volume = "50",
journal = "General Relativity and Gravitation",
issn = "0001-7701",
number = "6",
}