Towards a gravitation theory in Berwald-Finsler space

Finsler geometry is a natural and fundamental generalization of Riemann geometry. The Finsler structure depends on both coordinates and velocities. It is defined as a function on tangent bundle of a manifold. We use the Bianchi identities satisfied by the Chern curvature to set up a gravitation theo...

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Bibliographic Details
Published in:Chinese physics C 2010, Vol.34 (1), p.28-34
Main Author: 李昕 常哲
Format: Article
Language:English
Subjects:
Finsler空间
几何学
引力场方程
引力理论
洛仑兹不变性
陈省身
非对称
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Summary:Finsler geometry is a natural and fundamental generalization of Riemann geometry. The Finsler structure depends on both coordinates and velocities. It is defined as a function on tangent bundle of a manifold. We use the Bianchi identities satisfied by the Chern curvature to set up a gravitation theory in Berwald-Finsler space. The geometric part of the gravitational field equation is nonsymmetric in general. This indicates that the local Lorentz invariance is violated.
ISSN:1674-1137
0254-3052
2058-6132
DOI:10.1088/1674-1137/34/1/005