Abstract
Assuming that the mechanism proposed byGell-Mann and Hartle works as a mechanism fordecoherence and classicalization of the metric field, weformally derive the form of an effective theory for thegravitational field in a semiclassical regime. This effectivetheory takes the form of the usual semiclassical theoryof gravity, based on the semiclassical Einsteinequation, plus a stochastic correction which accounts for the backreaction of the lowest order matterstress-energy fluctuations.
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Martin, R., Verdaguer, E. An Effective Stochastic Semiclassical Theory for the Gravitational Field. International Journal of Theoretical Physics 38, 3049–3089 (1999). https://doi.org/10.1023/A:1026668418065
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DOI: https://doi.org/10.1023/A:1026668418065