On the semiclassical Einstein-Langevin equation
Abstract
We introduce a semiclassical Einstein-Langevin equation as a consistent dynamical equation for a first order perturbative correction to semiclassical gravity. This equation includes the lowest order quantum stress-energy fluctuations of matter fields as a source of classical stochastic fluctuations of the gravitational field. The Einstein-Langevin equation is explicitly solved around one of the simplest solutions of semiclassical gravity: Minkowski spacetime with a conformal scalar field in its vacuum state. We compute the two-point correlation function of the linearized Einstein tensor. This calculation illustrates the possibility of obtaining some ``non-perturbative'' behavior for the induced gravitational fluctuations that cannot be obtained in perturbative quantum gravity.
Cite
@article{arxiv.gr-qc/9811070,
title = {On the semiclassical Einstein-Langevin equation},
author = {Rosario Martin and Enric Verdaguer},
journal= {arXiv preprint arXiv:gr-qc/9811070},
year = {2008}
}
Comments
4 pages, RevTeX, no figures