Stochastic semiclassical gravity

Rosario Martín and Enric Verdaguer
Phys. Rev. D 60, 084008 – Published 17 September 1999
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Abstract

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.

  • Received 7 April 1999

DOI:https://doi.org/10.1103/PhysRevD.60.084008

©1999 American Physical Society

Authors & Affiliations

Rosario Martín and Enric Verdaguer*

  • Departament de Física Fonamental, Universitat de Barcelona, Avenida Diagonal 647, E-08028 Barcelona, Spain

  • *Also at Institut de Física d’Altes Energies (IFAE).

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Issue

Vol. 60, Iss. 8 — 15 October 1999

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