Gravitational Collapse and Expansion of Charged Anisotropic Cylindrical Source

TL;DR

This paper investigates the gravitational collapse and expansion of charged anisotropic cylindrical sources using Einstein-Maxwell equations, highlighting the role of electromagnetic fields in anisotropy and providing solutions adaptable to astrophysical scenarios.

Contribution

The paper derives new solutions to Einstein-Maxwell equations for charged anisotropic cylinders, demonstrating how electromagnetic fields influence collapse and expansion behaviors.

Findings

Electromagnetic fields enhance anisotropy during collapse.

Solutions can model various astrophysical collapse and expansion scenarios.

Wall-to-wall collapse is specifically analyzed.

Abstract

In this paper, we have discussed the gravitational collapse and expansion of charged anisotropic cylindrically symmetric gravitating source. To this end, the generating solutions of Einstein-Maxwell field equations for the given source and geometry have been evaluated. We found the auxiliary solution of the filed equations, this solution involves a single function which generates two kinds of anisotropic solutions. Every solution can be expressed in terms of arbitrary function of time that has been chosen arbitrarily to fit the various astrophysical time profiles. The existing solutions predict gravitational collapse and expansion depending on the choice of initial data. Instead of base to base collapse, in the present case, wall to wall collapse of the cylindrical source has been investigated. We have found that the electromagnetic field is responsible for the enhancement of anisotropy in collapsing system.