Random Walks in Curved Spacetimes - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue New Journal of Physics Année : 2012

Random Walks in Curved Spacetimes

Résumé

We introduce the master equation describing random walks in curved spacetimes, and derive the corresponding Fokker-Planck equation. By a combination of redshift and spatial curvature effects, the latter brings about corrections to Einstein's square-root law for the RMS displacement. We compute the first correction explicitely, and evaluate it for the cases of the Schwarzschild constant-density star, the Kerr black hole and the Friedmann-Robertson-Walker universe: in the first two cases, gravity turns out to enhance diffusion at small times, while in the third case the sign of the correction depends on the curvature of space and grows quadratically with the cosmological redshift.

Dates et versions

hal-00588724 , version 1 (26-04-2011)

Identifiants

Citer

Matteo Smerlak. Random Walks in Curved Spacetimes. New Journal of Physics, 2012, 14 (2), pp.023019. ⟨10.1088/1367-2630/14/2/023019⟩. ⟨hal-00588724⟩
69 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More