Hawking radiation received at infinity in higher dimensional Reissner-Nordstr\'om black hole spacetimes

Made available in DSpace on 2022-04-28T19:42:40Z (GMT). No. of bitstreams: 0 Previous issue date: 2021-08-01 Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) Fundação de Amparo à Pesquisa do Estado do Rio de Janeiro (FAPERJ) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) National Natural Science Foundation of China In this study, we investigate the Hawking radiation in higher dimensional Reissner-Nordström black holes as received by an observer located at infinity. The frequency-dependent transmission rates, which deform the thermal radiation emitted in the vicinity of the black hole horizon, are evaluated numerically. In addition to those in four-dimensional spacetime, the calculations are extended to higher dimensional Reissner-Nordström metrics, and the results are observed to be sensitive to the spacetime dimension to an extent. Generally, we observe that the transmission coefficient practically vanishes when the frequency of the emitted particle approaches zero. It increases with frequency and eventually saturates to a certain value. For four-dimensional spacetime, the above result is demonstrated to be mostly independent of the metric's parameter and the orbital quantum number of the particle, when the location of the event horizon, rh, and the product of the charges of the black hole and the particle qQ are known. However, for higher-dimensional scenarios, the convergence becomes more gradual. Moreover, the difference between states with different orbital quantum numbers is observed to be more significant. As the magnitude of the product of charges qQ becomes more significant, the transmission coefficient exceeds 1. In other words, the resultant spectral flux is amplified, which results in an accelerated process of black hole evaporation. The relationship of the calculated outgoing transmission coefficient with existing results on the greybody factor is discussed. Hubei Subsurface Multi-scale Imaging Key Laboratory Institute of Geophysics and Geomatics China University of Geosciences Escola de Engenharia de Lorena Universidade de São Paulo, SP Center for Gravitation and Cosmology College of Physical Science and Technology Yangzhou University Faculadade de Engenharia de Guaratinguetá Universidade Estadual Paulista, SP School of Physics and Technology Wuhan University Instituto de Física Universidade de São Paulo Faculadade de Engenharia de Guaratinguetá Universidade Estadual Paulista, SP National Natural Science Foundation of China: 11673008 National Natural Science Foundation of China: 11805166 National Natural Science Foundation of China: 11922303