Mathematics – Logic
Scientific paper
Jan 2005
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005epjb...43..143d&link_type=abstract
The European Physical Journal B, Volume 43, Issue 1, pp.143-154
Mathematics
Logic
7
Scientific paper
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.
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