Gravitational collapse of cylindrical anisotropic fluid: A source of gravitational waves

TL;DR

This paper investigates the gravitational collapse of anisotropic cylindrical fluids, demonstrating that non-zero boundary pressure related to shear viscosity leads to gravitational wave generation during collapse.

Contribution

It models cylindrical anisotropic collapse with matching conditions, revealing the role of shear viscosity and boundary pressure in gravitational wave production.

Findings

Non-zero boundary pressure is linked to shear viscosity.

Gravitational waves are generated outside the collapsing matter.

Collapse dynamics are modeled with cylindrical symmetry.

Abstract

The present work deals with dynamics of gravitational collapse with cylindrical symmetry as developed by Misner and Sharp. The interior collapsing anisotropic cylindrical perfect fluid is matched to an exterior vacuum cylindrically symmetric space-time due to Einstein--Rosen using the Darmois matching conditions. It is found that the radial pressure of the anisotropic perfect fluid is non-zero on the boundary surface and is related to the components of shear viscosity. As a result, there is formation of gravitational waves outside the collapsing matter.