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Stochastic semiclassical cosmological models

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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.

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CAMPOS, Antonio, CALZETTA, Esteban a., VERDAGUER OMS, Enric. Stochastic semiclassical cosmological models. _Physical Review D_. 1997. Vol. 56, núm. 4, pàgs. 2163-2172. [consulta: 23 de gener de 2026]. ISSN: 0556-2821. [Disponible a: https://hdl.handle.net/2445/12308]

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