The CWKB Method of Particle Production Near Chronology Horizon

Details The CWKB Method of Particle Production Near Chronology Horizon The CWKB Method of Particle Production Near Chronology Horizon

2002-05-17

arxiv.org/abs/gr-qc/0205077v1

Gen.Rel.Grav. 34 (2002) 697-705

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, latex, to appear in GRG vol 34 (2002) in May issue

Scientific paper

In this paper we investigate the phenomenon of particle production of massles scalar field, in a model of spacetime where the chronology horizon could be formrd, using the method of complex time WKB approximation (CWKB). For the purpose, we take two examples in a model of spacetime, one already discussed by Sushkov, to show that the mode of particle production near chronology horizon possesses the similar characteristic features as are found while discussing particle production in time dependent curved background. We get identical results as that obtained by Sushkov in this direction. We find, in both the examples studied, that the total number of particles remain finite at the moment of the formation of the chronology horizon.

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