Noncommutative correction to the entropy of Schwarzschild black hole with GUP
M. A. Anacleto, F. A. Brito, S. S. Cruz, E. Passos
Abstract
In this paper we study through tunneling formalism, the effect of noncommutativity to Hawking radiation and the entropy of the noncommutative Schwarzschild black hole. In our model we have considered the noncommutativity implemented via the Lorentzian distribution. We obtain noncommutative corrections to the Hawking temperature using the Hamilton–Jacobi method and the Wentzel–Kramers–Brillouin (WKB) approximation. In addition, we found corrections of the logarithmic and other types due to noncommutativity and quantum corrections from the generalized uncertainty principle (GUP) for the entropy of the Schwarzschild black hole.
Topics & Concepts
Noncommutative geometryHawking radiationPhysicsSchwarzschild metricWKB approximationNoncommutative quantum field theorySchwarzschild radiusMathematical physicsEntropy (arrow of time)Quantum mechanicsMicro black holeQuantum electrodynamicsGravitationGeneral relativityNoncommutative and Quantum Gravity TheoriesBlack Holes and Theoretical PhysicsCosmology and Gravitation Theories