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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 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.
Forward citations
Cited by 3 Pith papers
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Geometric noise spectrum in interferometers
The noise spectrum an interferometer would see from quantum spacetime jitter is computed for vacuum, thermal, squeezed, and scalar-backreaction states; all are Planck-suppressed.
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Measurements in stochastic gravity and thermal variance
Thermal photon fluctuations in a curved spacetime generate metric variance that, in the Fewster-Verch measurement scheme, equals the stochastic gravity noise kernel exactly.
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Geometric noise spectrum in interferometers
Computes UV-finite noise spectra in interferometers from graviton fluctuations in vacuum/thermal/squeezed states and from massless scalar vacuum stress-energy, all Planck-suppressed.
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