The spectrum of Hawking radiation in Tsallis statistical mechanics
arXiv:2203.01814 · doi:10.1140/epjc/s10052-022-10744-9
Abstract
Hawking radiation is one of the cores in modern gratitational 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.
References in corpus (9)
- Hawking Radiation as Tunneling
- Black Holes in Theories with Large Extra Dimensions: a Review
- Hawking radiation, the Stefan-Boltzmann law, and unitarization
- Modified Friedmann Equations from Tsallis Entropy
- Non-extensive Statistical Mechanics and Black Hole Entropy From Quantum Geometry
- Hawking Radiation of Five-dimensional Charged Black Holes with Scalar Fields
- Nonextensive Black Hole Entropy and Quantum Gravity Effects at the Last Stages of Evaporation
- Hawking radiation and the Stefan-Boltzmann law: The effective radius of the black-hole quantum atmosphere
- Big Bang nucleosynthesis with a non-Maxwellian distribution