The General Very Special Relativity in Finsler Cosmology

TL;DR

This paper explores a Finsler geometric extension of General Very Special Relativity, deriving modified cosmological equations that could explain cosmic acceleration without dark energy, and investigates early universe inflation with a vector field.

Contribution

It introduces a Finsler geometric framework for GVSR and derives modified Friedmann equations, providing a novel approach to cosmological acceleration and inflation.

Findings

Modified Friedmann equations suggest alternative explanation for cosmic acceleration.

Finsler geometry offers a new perspective on non-Lorentz invariant cosmology.

Primordial vector field influences energy evolution and inflation.

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