Curvature Diffusions in General Relativity

Jacques Franchi, Yves Le Jan

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish (US)
Pages (from-to)351-382
Number of pages32
JournalCommunications In Mathematical Physics
Volume307
Issue number2
DOIs
StatePublished - Oct 2011

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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