Cosmological reconstruction and {\it Om} diagnostic analysis of Einstein-Aether Theory

TL;DR

This paper investigates Einstein-Aether gravity's impact on cosmological models, analyzing the effects of the aether vector field and applying the Om diagnostic with observational data to understand dark energy behavior.

Contribution

It introduces a detailed analysis of Einstein-Aether cosmological models, including the effects of the aether vector and the application of the Om diagnostic with observational data.

Findings

Aether vector field significantly influences cosmological evolution.

The Om diagnostic reveals deviations from standard cosmology.

Model parameters are constrained using recent observational data.

Abstract

In this paper, we will analyse the cosmological models in Einstein-aether gravity, which is a modified theory of gravity in which a time-like vector field breaks the Lorentz symmetry. We will use this formalism to analyse different cosmological models with different behavior of the scale factor. In this analysis, we will use a certain functional dependence of the dark energy on the Hubble parameter. It will be demonstrated that the aether vector field has a non-trivial effect on these cosmological models. We will also perform the \emph{Om} diagnostic in Einstein-aether gravity. Thus, we will fit parameters of the cosmological models using recent observational data.