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Noise kernels of stochastic gravity in conformally-flat spacetimes

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arxiv 1407.3907 v1 pith:ZTXPJFTZ submitted 2014-07-15 hep-th gr-qc

classification hep-thgr-qc
keywords noisekernelsspacetimesconformally-flateinsteingravitystochasticanalytic
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The central object in the theory of semiclassical stochastic gravity is the noise kernel which is the symmetric two point correlation function of the stress-energy tensor. Using the corresponding Wightman functions in Minkowski, Einstein and open Einstein spaces, we construct the noise kernels of a conformally coupled scalar field in these spacetimes. From them we show that the noise kernels in conformally-flat spacetimes, including the Friedmann-Robertson-Walker universes, can be obtained in closed analytic forms by using a combination of conformal and coordindate transformations.

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  1. Measurements in stochastic gravity and thermal variance

    gr-qc 2025-06 conditional novelty 6.0 of 10

    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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