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Statistical entropy of a Schwarzschild black hole
Authors:Moorad Alexanian
Institution:(1) Department of Physics and Astronomy, Southern Illinois University at Carbondale, 62901 Carbondale, Illinois;(2) Present address: Centro de Investigación y de Estudios Avanzados, 07000 Mexico, D.F., Mexico
Abstract:A model describing the internal microstates of particles is used to calculate the statistical entropy of a Schwarzschild black hole. The state of the system is described by a nonextensive entropy function which is superadditive and so fails to be concave. A strict maximum of the entropy does not exist; nonetheless, the entropy increases on merging two such systems.
Keywords:Black-hole thermodynamics  concavity  nonextensivity  superadditivity
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