An effective stochastic semiclassical theory for the gravitational field

Enric Verdaguer; Rosario Martin

An effective stochastic semiclassical theory for the gravitational field

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arxiv gr-qc/9812063 v2 pith:N6BZUGDJ submitted 1998-12-17 gr-qc hep-th

Rosario Martin , Enric Verdaguer This is my paper

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keywords semiclassicaltheoryeffectivefieldformgravitationalmechanismstochastic

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Assuming that the mechanism proposed by Gell-Mann and Hartle works as a mechanism for decoherence and classicalization of the metric field, we formally derive the form of an effective theory for the gravitational field in a semiclassical regime. This effective theory takes the form of the usual semiclassical theory of gravity, based on the semiclassical Einstein equation, plus a stochastic correction which accounts for the back reaction of the lowest order matter stress-energy fluctuations.

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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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