Geometrical Models of the Locally Anisotropic Space-Time

Details Geometrical Models of the Locally Anisotropic Space-Time Geometrical Models of the Locally Anisotropic Space-Time

2011-11-18

arxiv.org/abs/1111.4346v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

35 pages, 5 figures, to appear in the Russian journal Hypercompl. Numb. Geom. Phys; submit/0362894 (George Bogoslovsky)

Scientific paper

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.

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