International Journal of Theoretical Physics

, Volume 45, Issue 4, pp 743–749

Connection Considerations of Gravitational Field in Finsler Spaces


DOI: 10.1007/s10773-006-9065-8

Cite this article as:
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.

Key words

Finsler geometryFinslerian relativityconnectionsgravitational field

Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of AthensPanepistimiopolisGreece
  2. 2.Department of Mechanical Engineering, Faculty of Science and TechnologyTokyo University of ScienceNoda, ChibaJapan