Journal de recherche et d'applications en physique

On metric structures and connection considerations of the gravitational field in Finsler spaces

Stavrinos PC, Ikeda S and Alexiou M

In this paper, some physico-geometric considerations are developed on the concept of nonlocal field theory associated with the Finslerian gravitational field. In particular, the nonlocalization by the internal variable at the higher order level or at the more microscopic level than the Finsler one is considered in detail. An application of the metric structure of the Friedmann-Robertson-Walker (FRW) model is also given in the framework of the vector bundle.