Stochastic Gravity: Theory and Applications

Details Stochastic Gravity: Theory and Applications Stochastic Gravity: Theory and Applications

2003-07-08

arxiv.org/abs/gr-qc/0307032v1

Living Rev.Rel.7:3,2004

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

75 pages, no figures, submitted to Living Reviews in Relativity

Scientific paper

Whereas semiclassical gravity is based on the semiclassical Einstein equation with sources given by the expectation value of the stress-energy tensor of quantum fields, stochastic semiclassical gravity is based on the Einstein-Langevin equation, which has in addition sources due to the noise kernel.In the first part, we describe the fundamentals of this new theory via two approaches: the axiomatic and the functional. In the second part, we describe three applications of stochastic gravity theory. First, we consider metric perturbations in a Minkowski spacetime: we compute the two-point correlation functions for the linearized Einstein tensor and for the metric perturbations. Second, we discuss structure formation from the stochastic gravity viewpoint. Third, we discuss the backreaction of Hawking radiation in the gravitational background of a quasi-static black hole.

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