Phys. Rev. D 56, 2163–2172 (1997)Stochastic semiclassical cosmological modelsReceived 21 March 1997; published in the issue dated 15 August 1997 We consider the classical stochastic fluctuations of spacetime geometry induced by quantum fluctuations of massless nonconformal 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 model introduced by Hartle, which consists of a spatially flat isotropic cosmology driven by radiation and dust. © 1997 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.56.2163
DOI:
10.1103/PhysRevD.56.2163
PACS:
04.62.+v, 05.40.+j, 98.80.Cq
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