Stochastic semiclassical gravity

Details Stochastic semiclassical gravity Stochastic semiclassical gravity

1999-04-07

arxiv.org/abs/gr-qc/9904021v1

Phys.Rev. D60 (1999) 084008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

26 pages, RevTeX, no figures

Scientific paper

10.1103/PhysRevD.60.084008

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.

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