An effective stochastic semiclassical theory for the gravitational field

Details An effective stochastic semiclassical theory for the gravitational field An effective stochastic semiclassical theory for the gravitational field

1998-12-17

arxiv.org/abs/gr-qc/9812063v2

Int.J.Theor.Phys.38:3049-3089,1999

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1023/A:1026668418065

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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