Application of the propagator method to pair production in the Robertson-Walker metric.

Details Application of the propagator method to pair production in the Robertson-Walker metric. Application of the propagator method to pair production in the Robertson-Walker metric.

Apr 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980gregr..12..267m&link_type=abstract

General Relativity and Gravitation, Volume 12, Issue 4, pp.267-277

Mathematics

Logic

10

Cosmological Models

Scientific paper

The method suggested earlier is applied to the problem of pair production in the Robertson-Walker universes with scale factorst λ, λ⩽1. The method is based on the postulate that the positive-frequency wave functions must be propagated forward in time by the causal propagator. The causal propagator is defined as the Green's function with minimal divergences on the “Euclidean section” of the space-time. The results for the casea(t)=t coincide with those of Chitre and Hartle. In the casea(t)=t t λ, λ<1, it is shown that the present approach predicts creation of conformal invariant massless scalar particles. It is demonstrated that the conformal transformation method gives the same predictions provided that the global properties of the space-time are taken into consideration.

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