Fermion emission in a two-dimensional black hole space-time

Details Fermion emission in a two-dimensional black hole space-time Fermion emission in a two-dimensional black hole space-time

1994-03-22

arxiv.org/abs/gr-qc/9403045v1

Phys.Rev. D50 (1994) 2731-2743

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

34 pages in LaTeX with fleqn, math and texdraw, 1 Fig. available on request, UNIL-TP-1/94

Scientific paper

10.1103/PhysRevD.50.2731

We investigate massless fermion production by a two-dimensional dilatonic black hole. Our analysis is based on the Bogoliubov transformation relating the outgoing fermion field observed outside the black hole horizon to the incoming field present before the black hole creation. It takes full account of the fact that the transformation is neither invertible nor unitarily implementable. The particle content of the outgoing radiation is specified by means of inclusive probabilities for the detection of sets of outgoing fermions and antifermions in given states. For states localized near the horizon these probabilities characterize a thermal equilibrium state. The way the probabilities become thermal as one approaches the horizon is discussed in detail.

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