Stochastic semiclassical cosmological models

Details Stochastic semiclassical cosmological models Stochastic semiclassical cosmological models

1997-04-04

arxiv.org/abs/gr-qc/9704010v1

Phys.Rev.D56:2163-2172,1997

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

29 pages, no figures, ReVTeX file

Scientific paper

10.1103/PhysRevD.56.2163

We consider the classical stochastic fluctuations of spacetime geometry induced by quantum fluctuations of massless non-conformal matter fields in the Early Universe. To this end, we supplement the stress-energy tensor of these fields with a stochastic part, which is computed along the lines of the Feynman-Vernon and Schwinger-Keldysh techniques; the Einstein equation is therefore upgraded to a so called Einstein-Langevin equation. We consider in some detail the conformal fluctuations of flat spacetime and the fluctuations of the scale factor in a simple cosmological modelintroduced by Hartle, which consists of a spatially flat isotropic cosmology driven by radiation and dust.

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