Imperfect fluids, Lorentz violations and Finsler Cosmology

TL;DR

This paper develops a Finslerian cosmological model incorporating Lorentz violations, leading to modified dynamics and potential inhomogeneities, offering new insights into anisotropic universe scenarios.

Contribution

It introduces a novel Finslerian Lorentz-violating framework for cosmology, extending relativistic models with anisotropies and inhomogeneity mechanisms.

Findings

Modified flat FRW cosmology with anisotropies

Local Lorentz violations can induce density inhomogeneities

Finslerian structure provides new dynamics for cosmological evolution

Abstract

We construct a cosmological toy model based on a Finslerian structure of space-time. In particular, we are interested in a specific Finslerian Lorentz violating theory based on a curved version of Cohen and Glashow's Very Special Relativity. The osculation of a Finslerian manifold to a Riemannian leads to the limit of Relativistic Cosmology, for a specified observer. A modified flat FRW cosmology is produced. The analogue of a zero energy particle unfolds some special properties of the dynamics. The kinematical equations of motion are affected by local anisotropies. Seeds of Lorentz Violations may trigger density inhomogeneities to the cosmological fluid.