The authors derive a q-modified black hole entropy from Tsallis statistics applied to a near-horizon gas and show that a negative non-extensive parameter can stabilize a Schwarzschild black hole.
Nonextensivity and q-distribution of a relativistic gas under an external electromagnetic field
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abstract
We investigate the nonextensivity and the q-distribution of a relativistic gas under an external electromagnetic field. We derive a formula expression of the nonextensive parameter q based on the relativistic generalized Boltzmann equation, the relativistic q-H theorem and the relativistic version of q-power-law distribution function in the nonextensive q-kinetic theory. We thus provide the connection between the parameter 1-q and the differentiation of the temperature field of the gas as well as the four-potential with respect to time and space coordinates, and therefore present the nonextensivity for the gas a clearly physical meaning.
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Black Hole Thermodynamics via Tsallis Statistical Mechanics
The authors derive a q-modified black hole entropy from Tsallis statistics applied to a near-horizon gas and show that a negative non-extensive parameter can stabilize a Schwarzschild black hole.