Magnetized String Cosmological Model in Cylindrically Symmetric Inhomogeneous Universe with Variable Cosmological-Term $\Lambda$

TL;DR

This paper develops a cylindrically symmetric inhomogeneous magnetized string cosmological model with a time-varying cosmological constant, analyzing its physical and geometric properties in different magnetic field scenarios.

Contribution

It introduces a new inhomogeneous cosmological model with variable $\Lambda$ and magnetic fields, providing insights into its physical characteristics and consistency with observations.

Findings

The cosmological constant $\Lambda$ is small and positive.

The model's physical properties are analyzed with and without magnetic fields.

Results support recent supernovae Ia observations.

Abstract

Cylindrically symmetric inhomogeneous magnetized string cosmological model is investigated with cosmological term $\Lambda$ varying with time. To get the deterministic solution, it has been assumed that the expansion ($\theta$) in the model is proportional to the eigenvalue $\sigma^{1}_{1}$ of the shear tensor $\sigma^{i}_{j}$. The value of cosmological constant for the model is found to be small and positive which is supported by the results from recent supernovae Ia observations. The physical and geometric properties of the model are also discussed in presence and absence of magnetic field.