Curvature Diffusions in General Relativity

Details Curvature Diffusions in General Relativity Curvature Diffusions in General Relativity

2010-03-19

arxiv.org/abs/1003.3849v2

Mathematics

Probability

34 pages

Scientific paper

We define and study on Lorentz manifolds a family of covariant diffusions in which the quadratic variation is locally determined by the curvature. This allows the interpretation of the diffusion effect on a particle by its interaction with the ambient space-time. We will focus on the case of warped products, especially Robertson-Walker manifolds, and analyse their asymptotic behaviour in the case of Einstein-de Sitter-like manifolds.

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