Charged Perfect Fluid Cylindrical Gravitational Collapse

TL;DR

This paper presents a new analytical solution for charged perfect fluid cylindrical gravitational collapse, analyzing its physical properties, the absence of outgoing gravitational waves, and the conditions leading to a conical singularity, with implications for gravitational and electromagnetic force balance.

Contribution

It introduces a novel non-static cylindrically symmetric solution for charged fluid collapse and examines its physical and matching properties, highlighting the role of electromagnetic fields.

Findings

Collapse leads to a conical singularity when length reduces to zero.

Electromagnetic fields prevent outgoing gravitational waves.

Gravitational and Coulomb forces balance at the boundary.

Abstract

This paper is devoted to study the charged perfect fluid cylindrical gravitational collapse. For this purpose, we find a new analytical solution of the field equations for non-static cylindrically symmetric spacetime. We discuss physical properties of the solution which predict gravitational collapse. It is concluded that in the presence of electromagnetic field the outgoing gravitational waves are absent. Further, it turns out that when longitudinal length reduces to zero due to resultant action of gravity and electromagnetic field, then the end state of the gravitational collapse is a conical singularity. We also explore the smooth matching of the collapsing cylindrical solution to a static cylindrically symmetric solution. In this matching, we take a special choice of constant radius of the boundary surface. We conclude that the gravitational and Coulomb forces of the system balance each other.