Charged Cylindrical Collapse of Anisotropic Fluid

TL;DR

This paper investigates the gravitational collapse of charged, anisotropic cylindrical fluids, analyzing how charge and dissipation influence collapse dynamics and establishing conditions for energy density homogeneity and spacetime conformal flatness.

Contribution

It introduces a detailed model of charged cylindrical collapse with dissipative matter, linking homogeneity and conformal flatness in this context.

Findings

Charge affects collapse dynamics significantly.

Dissipative shear viscosity influences the collapse process.

Homogeneity and conformal flatness are mutually necessary and sufficient.

Abstract

Following the scheme developed by Misner and Sharp, we discuss the dynamics of gravitational collapse. For this purpose, an interior cylindrically symmetric spacetime is matched to an exterior charged static cylindrically symmetric spacetime using the Darmois matching conditions. Dynamical equations are obtained with matter dissipating in the form of shear viscosity. The effect of charge and dissipative quantities over the cylindrical collapse are studied. Finally, we show that homogeneity in energy density and conformal flatness of spacetime are necessary and sufficient for each other.