Cylindrically Symmetric Models of Anisotropic Compact Stars

TL;DR

This paper models anisotropic compact stars with cylindrical symmetry using a variable cosmological constant, analyzing their properties, stability, and redshift based on observed star data.

Contribution

It introduces a cylindrical symmetric model of anisotropic compact stars incorporating a variable cosmological constant, extending previous spherical models.

Findings

Models satisfy regularity and stability conditions.

Properties of specific compact stars are analyzed in detail.

Surface redshift values are computed and discussed.

Abstract

In this paper we have discussed the possibility of forming anisotropic compact stars from cosmological constant as one of the competent candidates of dark energy with cylindrical symmetry. For this purpose, we have applied the analytical solution of Krori and Barua metric to a particular cylindrically symmetric spacetime. The unknown constants in Krori and Barua metric have been determined by using masses and radii of class of compact stars like 4$U$1820-30, Her X-1, SAX J 1808-3658. The properties of these stars have been analyzed in detail. In this setting the cosmological constant has been taken as a variable which depends on the radial coordinates. We have checked all the regularity conditions, stability and surface redshift of the compact stars 4$U$1820-30, Her X-1, SAX J 1808-3658.