, Volume 45, Issue 4, pp 743-749
Date: 22 Mar 2006

Connection Considerations of Gravitational Field in Finsler Spaces

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Abstract

Some alternative connection structures of the Finslerian gravitational field are considered by modifying the independent variables (x,y) (x: point and y: vector) in various ways. For example, (x k ,y i ) (k,i = 1,2,3,4) are changed to (x k ,y 0) (y 0: scalar) or (x 0,y i ) (x 0: time axis); (x k ,y i ) are generalized to (x k ,y i ,p i ) (p i : covector dual to y i ) or (x k ,y i ,q a ) (q a : covector different from p i ); (x k ,y i ) are further generalized to (x k ,y (a)i ) (a = 1,2,…,m), (y (a): (a)th vector), etc.