The constrained cosmological model in Lyra geometry

TL;DR

This paper investigates a flat FLRW cosmological model within Lyra geometry, demonstrating a transition from deceleration to acceleration, constraining model parameters with observational data, and comparing it to dark energy models using statefinder diagnostics.

Contribution

It introduces a Lyra geometry-based cosmological model with a time-dependent displacement vector and constrains its parameters using recent observational data.

Findings

The model exhibits two transitions from deceleration to acceleration.

Parameter constraints align the model with late-time accelerated expansion.

Statefinder analysis differentiates this model from other dark energy scenarios.

Abstract

In this article, we study a flat homogeneous FLRW model in Lyra geometry which is described by a time-dependent displacement vector. We consider an appropriate parametrization of the energy density of scalar field $ \rho_\phi $ in terms of the cosmic scale factor. The result shows two transitions from deceleration to acceleration. Furthermore, we constrain the model parameter $ \alpha $ and the displacement field vector $ \beta $ using the recent supernovae data, Hubble data set of 77 points, and their joint data which predicts the accelerated expanding phase of the universe in late times. The effective equation of state parameter $ \omega_{eff} $ speculate $ \Lambda $CDM in late times. Finally, we use the statefinder diagnostic to differentiate our model from the various dark energy models.