Eur. Phys. J. B 43, 143-154 (2005)
DOI: 10.1140/epjb/e2005-00037-3

Mean field theory and geodesics in general relativity

F. Debbasch

ERGA, UMR 8112, 4 Place Jussieu, 75231 Paris Cedex 05, France

fabrice.debbasch@wanadoo.fr

(Received 5 May 2004 / Received in final form 27 September 2004 / Published online 11 February 2005)

Abstract
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

The OpenURL standard is a protocol for transmission of metadata describing the resource that you wish to access. An OpenURL link contains article metadata and directs it to the OpenURL server of your choice. The OpenURL server can provide access to the resource and also offer complementary services (specific search engine, export of references...). The OpenURL link can be generated by different means.

• If your librarian has set up your subscription with an OpenURL resolver, OpenURL links appear automatically on the abstract pages.
• You can define your own OpenURL resolver with your EDPS Account. In this case your choice will be given priority over that of your library.
• You can use an add-on for your browser (Firefox or I.E.) to display OpenURL links on a page (see http://www.openly.com/openurlref/). You should disable this module if you wish to use the OpenURL server that you or your library have defined.