Hawking radiation under generalized uncertainty principle
Tin-Long Chau, Pei-Ming Ho, H. Kawai, Wei-Hsiang Shao, Cheng-Tsung Wang
Abstract
Abstract The generalized uncertainty relation is expected to be an essential element in a theory of quantum gravity. In this work, we examine its effect on the Hawking radiation of a Schwarzschild black hole formed from collapse by incorporating a minimal uncertainty length scale into the radial coordinate of the background. This is implemented in both the ingoing Vaidya coordinates and a family of freely falling coordinates. We find that, regardless of the choice of the coordinate system, Hawking radiation is turned off at around the scrambling time. Interestingly, this phenomenon occurs while the Hawking temperature remains largely unmodified.
Topics & Concepts
Hawking radiationHawkingSchwarzschild radiusPhysicsBlack hole information paradoxMicro black holeBlack hole (networking)Classical mechanicsSchwarzschild metricQuantumWork (physics)Coordinate systemTheoretical physicsGravitationQuantum mechanicsMathematicsGeometryGravitational waveGeneral relativityComputer scienceEntropy (arrow of time)Link-state routing protocolRouting protocolRouting (electronic design automation)Computer networkNoncommutative and Quantum Gravity TheoriesBlack Holes and Theoretical PhysicsCosmology and Gravitation Theories