An effective stochastic semiclassical theory for the gravitational field

Abstract

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.

33 pages, LaTeX, no figures; v2: Eqs. (2.28) and (2.31) of subsection II C have been generalized

References in corpus (2)

• Stochastic semiclassical gravity
• Non-equilibrium dynamics of a thermal plasma in a gravitational field

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