English

An effective stochastic semiclassical theory for the gravitational field

General Relativity and Quantum Cosmology 2011-04-15 v2 High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.gr-qc/9812063,
  title  = {An effective stochastic semiclassical theory for the gravitational field},
  author = {Rosario Martin and Enric Verdaguer},
  journal= {arXiv preprint arXiv:gr-qc/9812063},
  year   = {2011}
}

Comments

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