Nonextensive black hole entropy and quantum gravity effects at the last stages of evaporation
Ana Alonso-Serrano, Mariusz P. Da̧browski, Hussain Gohar
Abstract
We analyze the generalized uncertainty principle (GUP) impact onto the nonextensive black hole thermodynamics by using R\'enyi entropy. We show that when introducing GUP effects, both R\'enyi entropy and temperature associated with black holes have finite values at the end of the evaporation process. We also study the sparsity of the radiation, associated with R\'enyi temperature, and compare it with the sparsity of Hawking radiation. Finally, we investigate GUP modifications to the sparsity of the radiation when GUP effects are introduced into R\'enyi temperature.
Topics & Concepts
Hawking radiationEntropy (arrow of time)Black hole thermodynamicsPhysicsEvaporationBlack hole (networking)RadiationQuantum gravityQuantumUncertainty principleStatistical physicsHawkingThermodynamicsQuantum mechanicsComputer scienceComputer networkLink-state routing protocolRouting (electronic design automation)Routing protocolBlack Holes and Theoretical PhysicsNoncommutative and Quantum Gravity TheoriesCosmology and Gravitation Theories