Mean field theory and geodesics in general relativity
ERGA, UMR 8112, 4 Place Jussieu, 75231 Paris Cedex 05, France
Corresponding author: a email@example.com
Revised: 27 September 2004
Published online: 11 February 2005
It is proven that all geodesics in a mean gravitational field can be interpreted locally as the averages of geodesics in the unaveraged field. The respective time-like, space-like or null character of averaged and unaveraged geodesics is discussed carefully. Finally, some important astrophysical and cosmological applications and consequences are investigated.
PACS: 03.50.-z – Classical field theories / 05.20.Dd – Kinetic theory / 04.20.-q – Classical general relativity
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2005