The General Very Special Relativity in Finsler Cosmology

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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14 pages- accepted to Physical Review D

Scientific paper

10.1103/PhysRevD.79.104011

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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