TY - JOUR

T1 - Quantum black hole evaporation

AU - Schoutens, Kareljan

AU - Verlinde, Herman

AU - Verlinde, Erik

PY - 1993

Y1 - 1993

N2 - We investigate a recently proposed model for a full quantum description of two-dimensional black hole evaporation, in which a reflecting boundary condition is imposed in the strong-coupling region. It is shown that in this model each initial state is mapped to a well-defined asymptotic out state, provided one performs a certain projection in the gravitational zero mode sector. We find that for an incoming localized energy pulse, the corresponding outgoing state contains approximately thermal radiation, in accordance with semiclassical predictions. In addition, our model allows for certain acausal strong-coupling effects near the singularity that give rise to corrections to the Hawking spectrum and restore the coherence of the out state. To an asymptotic observer these corrections appear to originate from behind the receding apparent horizon and start to influence the outgoing state long before the black hole has emitted most of its mass. Finally, by putting the system in a finite box, we are able to derive some algebraic properties of the scattering matrix and prove that the final state contains all initial information.

AB - We investigate a recently proposed model for a full quantum description of two-dimensional black hole evaporation, in which a reflecting boundary condition is imposed in the strong-coupling region. It is shown that in this model each initial state is mapped to a well-defined asymptotic out state, provided one performs a certain projection in the gravitational zero mode sector. We find that for an incoming localized energy pulse, the corresponding outgoing state contains approximately thermal radiation, in accordance with semiclassical predictions. In addition, our model allows for certain acausal strong-coupling effects near the singularity that give rise to corrections to the Hawking spectrum and restore the coherence of the out state. To an asymptotic observer these corrections appear to originate from behind the receding apparent horizon and start to influence the outgoing state long before the black hole has emitted most of its mass. Finally, by putting the system in a finite box, we are able to derive some algebraic properties of the scattering matrix and prove that the final state contains all initial information.

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U2 - 10.1103/PhysRevD.48.2670

DO - 10.1103/PhysRevD.48.2670

M3 - Article

AN - SCOPUS:0001604197

SN - 1550-7998

VL - 48

SP - 2670

EP - 2685

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

IS - 6

ER -