Geometrical Models of the Locally Anisotropic SpaceTime
Abstract
Along with the construction of nonLorentzinvariant effective field theories, recent studies which are based on geometric models of Finsler spacetime 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 nonLorentzinvariant 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.
 Publication:

Journal of Modern Physics
 Pub Date:
 2012
 DOI:
 10.4236/jmp.2012.329170
 arXiv:
 arXiv:1111.4346
 Bibcode:
 2012JMPh....3.1314B
 Keywords:

 General Relativity and Quantum Cosmology;
 Astrophysics  Cosmology and Nongalactic Astrophysics;
 High Energy Physics  Theory;
 Mathematical Physics
 EPrint:
 35 pages, 5 figures, to appear in the Russian journal Hypercompl. Numb. Geom. Phys