https://doi.org/10.1140/epjc/s10052-022-10744-9
Regular Article - Theoretical Physics
The spectrum of Hawking radiation in Tsallis statistical mechanics
1
School of Physics and Astronomy, University of Nottingham, NG7 2RD, Nottingham, UK
2
Nottingham Centre of Gravity, University of Nottingham, NG7 2RD, Nottingham, UK
Received:
28
May
2022
Accepted:
20
August
2022
Published online:
30
August
2022
Hawking radiation is one of the cores in modern gravitational theory. Several articles have calculated the spectrum of Hawking radiation in Boltzmann–Gibbs statistical mechanics. However, based on recent researches, gravitational systems cannot be studied by the standard statistical mechanics. In this article, we calculate the modification to the spectrum of Hawking radiation in Tsallis statistical mechanics. We obtain the modified Stefan–Boltzmann’s law and modified power of Hawking radiation. We confirm the conclusion proposed by Giddings, namely, the radiation should originate from the effective radius, which extends well outside the horizon of black-hole. The lifetime of black hole and the effect of large q are discussed as well.
© The Author(s) 2022
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