Li, X (reprint author), Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China.
部门归属:
[Li, Xin] Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China; [Chang, Zhe] Chinese Acad Sci, Inst High Energy Phys, Beijing 100049, Peoples R China; [Li, Xin; Chang, Zhe] Chinese Acad Sci, Theoret Phys Ctr Sci Facil, Beijing 100049, Peoples R China
英文摘要:
Within the framework of projective geometry, we investigate kinematics and symmetry in (alpha, beta) spacetime one special types of Finsler spacetime. The projectively flat (alpha, beta) spacetime with constant flag curvature is divided into four types. The symmetry in type A-Riemann spacetime with constant sectional curvature-is just the one in de Sitter special relativity. The symmetry in type B-locally Minkowski spacetime-is just the one in very special relativity. It is found that type C-Funk spacetime and type D-scaled Berwald's metric spacetime both possess the Lorentz group as its isometric group. The geodesic equation, algebra and dispersion relation in the (alpha, beta) spacetime are given. The corresponding invariant special relativity in the four types of (alpha, beta) spacetime contain two parameters, the speed of light and a geometrical parameter, which may relate to the new physical scale. They all reduce to Einstein's special relativity while the geometrical parameter vanishes. (C) 2012 Elsevier B.V. All rights reserved.
Li, X,Chang, Z. Symmetry and special relativity in Finsler spacetime with constant curvature[J]. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS,2012,30(6):737-748.
