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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/12308
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. and VERDAGUER OMS, Enric. Stochastic semiclassical cosmological models. Physical Review D. 1997. Vol. 56, num. 4, pags. 2163-2172. ISSN 0556-2821. [consulted: 13 of June of 2026]. Available at: https://hdl.handle.net/2445/12308