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Geometrical Models of the Locally Anisotropic Space-Time

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DOI: 10.4236/jmp.2012.329170    4,462 Downloads   8,041 Views   Citations

ABSTRACT

Along with the construction of non-Lorentz-invariant effective field theories, recent studies which are based on geometric models of Finsler space-time become more and more popular. In this respect, the Finslerian approach to the problem of Lorentz symmetry violation is characterized by the fact that the violation of Lorentz symmetry is not accompanied by a violation of relativistic symmetry. That means, in particular, that preservation of relativistic symmetry can be considered as a rigorous criterion of the viability for any non-Lorentz-invariant effective field theory. Although this paper has a review character, it contains (with few exceptions) only those results on Finsler extensions of relativity theory, that were obtained by the authors.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Balan, V. , Bogoslovsky, G. , Kokarev, S. , Pavlov, D. , Siparov, S. and Voicu, N. (2012) Geometrical Models of the Locally Anisotropic Space-Time. Journal of Modern Physics, 3, 1314-1335. doi: 10.4236/jmp.2012.329170.

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