A solution in the finsler geometry
Tóm tắt
The metric tensor for one of the simplest cases is calculated in the Finsler geometry. For the spherically symmetric-coordinate system, it is assumed that effective components of differential variables are for time and radial directions. And a solution corresponding to the Friedmann solution in the Riemann space is discussed.
Tài liệu tham khảo
P. Finsler:Ueber Kurven und Flaechen in allgemeinen Raumen, Dissertation, Goettingen, (1919).
Y. Takano:Lett. Nuovo Cimento,10, 747 (1974).
H. Ishikawa:J. Math. Phys.,22, 5 (1981);Nuovo Cimento B,56 (2), 252 (1980).
M. Matsumoto:Foundations of Finsler Geometry and Special Finsler Spaces (Kaiseisha, Shiga, Japan, 1986); M. Matsumoto and L. Tamassy:Demonstratio Mathematica,13 (2), 551 (1980).