publication . Preprint . 2007

Covariant Theory of Gravitation in the Spacetime with Finsler Structure

Huang, Xin-Bing;
Open Access English
  • Published: 31 Oct 2007
The theory of gravitation in the spacetime with Finsler structure is constructed. It is shown that the theory keeps general covariance. Such theory reduces to Einstein's general relativity when the Finsler structure is Riemannian. Therefore, this covariant theory of gravitation is an elegant realization of Einstein's thoughts on gravitation in the spacetime with Finsler structure.
arXiv: Mathematics::Differential GeometryPhysics::General PhysicsMathematics::Metric Geometry
free text keywords: General Relativity and Quantum Cosmology
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[1] D. Bao, S.-S. Chern and Z. Shen, An introduction to Riemann-Finsler Geometry (Springer, New York, 2000).

[2] C. W. Misner, K. S. Thorne and J. A. Wheeler, Gravitation (W. H. Freeman and Company, San Francisco, 1973).

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