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The General Very Special Relativity in Finsler Cosmology

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arxiv 0810.3267 v3 pith:JCS5B3F7 submitted 2008-10-17 gr-qc

The General Very Special Relativity in Finsler Cosmology

classification gr-qc
keywords relativityspecialverycosmologyfieldfinslergeneralgeometry
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General Very Special Relativity (GVSR) is the curved space-time of Very Special Relativity (VSR) proposed by Cohen and Glashow. The geometry of GVSR possesses a line element of Finsler Geometry proposed by Bogoslovsky. We calculate the Einstein field equations and derive a modified FRW cosmology, for an osculating Riemannian space. The Friedman equation of motion leads to an explanation of the cosmological acceleration in terms of an alternative non-Lorentz invariant theory. A first order approach for a primordial spurionic vector field introduced into the metric, gives back an estimation of the energy evolution and inflation

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    Finsler gravity vacuum equation reduces to vanishing Finsler Ricci curvature when some power F^n is regular with non-degenerate metric on light cones and Landsberg term vanishes, enabling solutions for homogeneous iso...