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 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.

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LI Xin and CHANG Zhe. Towards a gravitation theory in Berwald-Finsler space[J]. Chinese Physics C, 2010, 34(1): 28-34. doi: 10.1088/1674-1137/34/1/005
LI Xin and CHANG Zhe. Towards a gravitation theory in Berwald-Finsler space[J]. Chinese Physics C, 2010, 34(1): 28-34.  doi: 10.1088/1674-1137/34/1/005 shu
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Received: 2009-02-26
Revised: 2009-03-09
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Towards a gravitation theory in Berwald-Finsler space

    Corresponding author: LI Xin,

Abstract: 

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.

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