2014/05/01 by Jürgen Angst, Angst, Jürgen
Mathematics · Physics and Astronomy · #60J45 #60J60 #83F05 #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #math-ph #math.DG #math.MP #math.PR #msc:60J45 #msc:60J60 #msc:83F05
paper · pdf · doi:10.48550/arxiv.1405.0142
42 pages, 6 figures
arxiv created 2014/05/01 · arxiv updated 2014/05/02
We determine the long-time asymptotic behavior of a relativistic diffusion taking values in the unitary tangent bundle of a Robertson-Walker space-time. We prove in particular that when approaching the explosion time of the diffusion, its projection on the base manifold almost surely converges to a random point of the causal boundary and we also describe the behavior of the tangent vector in the neighborhood of this limiting point.