Jet Geometrical Extension of the KCC-Invariants

Balan, Vladimir; Neagu, Mircea

doi:10.48550/arxiv.0906.2903

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2012

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“…In [70], it is described a class of solutions of the Einstein field equations for such models. In [55], a system of second order differential equations is considered as an extension of geodesic equations and it is investigated by means of the KCC approach.…”

Section: Description Of the Obtained Resultsmentioning

confidence: 99%

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Geometrical Models of the Locally Anisotropic Space-Time

Balan¹,

Bogoslovsky

Kokarev³

et al. 2012

JMP

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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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Section: Description Of the Obtained Resultsmentioning

confidence: 99%

“…The investigation of rheonomic KCC models is continued in the work [55]; the autonomous case is extended to the rheonomic one by means of a geometrization of classical…”

Section: Description Of the Obtained Resultsmentioning

confidence: 99%