Stavrinos, P.C. & Ikeda, S. Int J Theor Phys (2006) 45: 743. doi:10.1007/s10773-006-9065-8
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, (xk,yi) (k,i = 1,2,3,4) are changed to (xk,y0) (y0: scalar) or (x0,yi) (x0: time axis); (xk,yi) are generalized to (xk,yi,pi) (pi: covector dual to yi) or (xk,yi,qa) (qa: covector different from pi); (xk,yi) are further generalized to (xk,y(a)i) (a = 1,2,…,m), (y(a): (a)th vector), etc.
Finsler geometryFinslerian relativityconnectionsgravitational field