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A quantum model of Schwarzschild black hole evaporation
José Navarro-salasJ. CruzAleksandar Mikovicsubject
Thermal equilibriumPhysicsHigh Energy Physics - TheoryNuclear and High Energy PhysicsAstrophysics::High Energy Astrophysical PhenomenaNaked singularityFOS: Physical sciencesRadiusGeneral Relativity and Quantum Cosmology (gr-qc)General Relativity and Quantum CosmologyBlack holeGeneral Relativity and Quantum CosmologyHigh Energy Physics - Theory (hep-th)Quantum stateQuantum mechanicsMetric (mathematics)Schwarzschild metricAstronomiaProper timedescription
We construct a one-loop effective metric describing the evaporation phase of a Schwarzschild black hole in a spherically symmetric null-dust model. This is achieved by quantising the Vaidya solution and by chosing a time dependent quantum state. This state describes a black hole which is initially in thermal equilibrium and then the equilibrium is switched off, so that the black hole starts to evaporate, shrinking to a zero radius in a finite proper time. The naked singularity appears, and the Hawking flux diverges at the end-point. However, a static metric can be imposed in the future of the end-point. Although this end-state metric cannot be determined within our construction, we show that it cannot be a flat metric.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1996-11-26 |