Charged Perfect Fluid Cylindrical Gravitational Collapse

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.

17 pages, 4 figures, accepted for publication in J. Phys. Soc. Jpn

References in corpus (7)

• Relativistic images of Schwarzschild black hole lensing
• Shearfree Cylindrical Gravitational Collapse
• Charged relativistic spheres with generalized potentials
• Effects of Electromagnetic Field on Gravitational Collapse
• High-Speed Cylindrical Collapse of Two Perfect Fluids
• Spherically Symmetric Gravitational Collapse
• Visible borders of spacetime generated by high-energy collisions

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• Structure Scalars In Charged Plane Symmetry
• Space-time inhomogeneity, anisotropy and gravitational collapse
• Dynamical Analysis of Cylindrically Symmetric Anisotropic Sources in $f(R,T)$ Gravity
• Effects of Electromagnetic Field on the Dynamical Instability of Cylindrical Collapse
• Dissipative Cylindrical Collapse of Charged Anisotropic Fluid
• The Stability of a Shearing Viscous Star with Electromagnetic Field
• Gravitational Dust Collapse in $f(R)$ Gravity
• Dynamical Instability of Charged Gaseous Cylinder
• Cylindrically symmetric models of gravitational collapse to black holes: a short review