Connection Considerations of Gravitational Field in Finsler Spaces
- First Online:
- 47 Downloads
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 wordsFinsler geometry Finslerian relativity connections gravitational field
Unable to display preview. Download preview PDF.
- Bergmann, P. G. (1961). Introduction to the Theory of Relativity, Prentice Hall, New York.Google Scholar
- Ikeda, S. (1995). Advanced Studies in Applied Geometry, Seizansha, Sagamihara.Google Scholar
- Ikeda, S. (2000). On the intrinsic behavior of the internal variable in the finslerian field theory. Nuovo Cimento 115, 287–290.Google Scholar
- Kawaguchi, A. (1932). Die Differentialgeometrie in der verallgemeinerten Mannigfaltigkeit. Rend. Circ. Mate. Palermo 56, 246–276.Google Scholar
- Peebles, P. J. E. (1993). Principles of Physical Cosmology, Princeton University Press.Google Scholar
- Stavrinos, P. C. and Diakogiannis, F. I. (2004) Finslerian Structure of Anisotropic Gravitational Field, Gravitation and Cosmology, 10B(4), 1–11.Google Scholar
- Stavrinos, P. C. (2005). On the generalized metric structure of space time: Finslerian anisotropic gravitational field. 11th Conference on Recent Developments in Gravity, Journal of Physics: Conference Series 8, 49–57.Google Scholar