The General Very Special Relativity in Finsler Cosmology

Abstract

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

14 pages- accepted to Physical Review D

References in corpus (12)

• Very Special Relativity
• General Very Special Relativity is Finsler Geometry
• Planck-scale modified dispersion relations and Finsler geometry
• Observational constraints on self-accelerating cosmology
• Friedmann Robertson-Walker model in generalised metric space-time with weak anisotropy
• Rainbow universe
• Dark Energy from Brane-world Gravity
• Lorentz Invariance Violation from String Theory
• Spin dependent masses and Sim(2) symmetry
• Generalized Finsler Geometry in Einstein, String and Metric--Affine Gravity
• (Non)Commutative Finsler Geometry from String/M--theory
• Cosmological Acceleration: Dark Energy or Modified Gravity?

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• Quantum-Gravity Induced Lorentz Violation and Dynamical Mass Generation
• Birefringence in pseudo-Finsler spacetimes
• Bounce cosmology in generalized modified gravities
• Cosmological tests of the osculating Barthel-Kropina dark energy model
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• First comprehensive constraints on the Finslerian models using cosmological observations
• Finsler gravitational waves of $(\alpha ,\beta )$-type and their observational signature
• A Cosmological Unicorn Solution to Finsler Gravity
• On the metrizability of $m$-Kropina spaces with closed null 1-form
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