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Noise kernels of stochastic gravity in conformally-flat spacetimes

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abstract

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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gr-qc 1

years

2025 1

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CONDITIONAL 1

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Measurements in stochastic gravity and thermal variance

gr-qc · 2025-06-29 · conditional · novelty 6.0

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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  • Measurements in stochastic gravity and thermal variance gr-qc · 2025-06-29 · conditional · none · ref 82 · internal anchor

    Thermal photon fluctuations in a curved spacetime generate metric variance that, in the Fewster-Verch measurement scheme, equals the stochastic gravity noise kernel exactly.