GEOMETRICAL MODELS OF THE LOCALLY ANISOTROPIC SPACE-TIME
2011jaw | Balan V., Bogoslovsky G.Yu., Kokarev S.S., Pavlov D.G., Siparov S.V., Voicu N.  // University Politehnica of Bucharest, Bucharest, Romania; Skobeltsyn Institute of Nuclear Physics, MSU, Moscow, Russia; Research Institute of Hypercomplex Systems in Geometry and Physics, Fryazino, Russia; RSEC Logos, Yaroslavl, Russia; Research Institute of Hypercomplex Systems in Geometry and Physics State University of Civil Aviation, St-Petersburg, Russia; "Transilvania" University of Brasov, Brasov, Romania, vladimir.balan@upb.ro, bogoslov@theory.sinp.msu.ru, logos-center@mail.ru, geom2004@mail.ru, sergey@siparov.ru, nico.brinzei@unitbv.ro

Lately, the problem of the Lorentz symmetry-breaking has been widely discussed in literature. It is worthy to note that, in addition to the construction of phenomenologically focused effective field theories, the research based on the Finslerian geometric models of space-time becomes more and more popular. Finsler approach to the Lorentz symmetrybreaking problem is characterized by the fact that there the Lorentz symmetry-breaking is not accompanied by the relativistic symmetry-breaking. This means that the preservation of the relativistic symmetry is a rigid criterion of the viability for any non-Lorentzinvariant effective field theory. Though this paper has a review character, it mainly contains original results obtained by the authors, concerning Finsler extensions of Relativity Theory.

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