Towards a gravitation theory in Berwald-Finsler space

• Published in: Chinese physics C Vol. 34; no. 1; pp. 28 - 34
• Main Author: 李昕 常哲
• Format: Journal Article
• Language: English
• Published: IOP Publishing 2010; Institute of High Energy Physics, Chinese Academy of Sciences, P. O. Box 9184, Beijing 100049, China
• 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; field equation; Finsler geometry; Berwald space
• ISSN: 1674-1137; 0254-3052; 2058-6132
• DOI: 10.1088/1674-1137/34/1/005

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.