Constraining parameters of spinor field dark energy: An alternative to $\Lambda$CDM model under the spherically symmetric FLRW space-time

TL;DR

This paper constrains parameters of a spinor field dark energy model within a spherically symmetric FLRW universe using recent cosmological data, proposing an alternative to the standard $\\Lambda$CDM model.

Contribution

It introduces a dark energy model based on a nonlinear spinor field and constrains its parameters using observational data, highlighting its consistency with accelerated cosmic expansion.

Findings

The EMT of the spinor field has nontrivial non-diagonal components independent of nonlinearity and curvature parameter.

The model's parameters fit well with current Hubble and deceleration parameters.

The results support an accelerated universe consistent with observational data.

Abstract

This study constrains the cosmological parameters within the scope of a spherically symmetric FLRW cosmological model, the role of a nonlinear spinor field in the universe's evolution. To test this approach, we incorporate the recent Cosmic chronometers, Supernova, and Sloan Digital Sky Survey data. It is found that if spherical coordinates give the FLRW model, the energy-momentum tensor (EMT) of the spinor field possesses nontrivial non-diagonal components. These non-diagonal components of EMT neither depend on the spinor field nonlinearity nor the value of the parameter $k$ defining the type of curvature of the FLRW model. In this context, we construct a dark energy model and perform an MCMC simulation to obtain the best-fit values of the parameters. The results are well comparable to the present Hubble parameter and deceleration parameter, indicating the accelerated expansion of the universe.