Stochastic semiclassical gravity
摘要
In the first part of this paper, we show that the semiclassical Einstein-Langevin equation, introduced in the framework of a stochastic generalization of semiclassical gravity to describe the back reaction of matter stress-energy fluctuations, can be formally derived from a functional method based on the influence functional of Feynman and Vernon. In the second part, we derive a number of results for background solutions of semiclassical gravity consisting of stationary and conformally stationary spacetimes and scalar fields in thermal equilibrium states. For these cases, fluctuation-dissipation relations are derived. We also show that particle creation is related to the vacuum stress-energy fluctuations and that it is enhanced by the presence of stochastic metric fluctuations.
引用
@article{arxiv.gr-qc/9904021,
title = {Stochastic semiclassical gravity},
author = {Rosario Martin and Enric Verdaguer},
journal= {arXiv preprint arXiv:gr-qc/9904021},
year = {2009}
}
备注
26 pages, RevTeX, no figures