Cylindrically symmetric inhomogeneous dust collapse with a zero expansion component

Abstract

We investigate a class of cylindrically symmetric inhomogeneous $\Lambda$-dust spacetimes which have a regular axis and some zero expansion component. For $\Lambda \ne 0$, we obtain new exact solutions to the Einstein equations and show that they are unique, within that class. For $\Lambda =0$, we recover the Senovilla-Vera metric and show that it can be locally matched to an Einstein-Rosen type of exterior. Finally, we explore some consequences of the matching, such as trapped surface formation and gravitational radiation in the exterior.

18 pages, 2 figures

References in corpus (4)

• Shearfree Cylindrical Gravitational Collapse
• First order perturbations of the Einstein-Straus and Oppenheimer-Snyder models
• Relativistic Gravitational Collapse of a Cylindrical Shell of Dust
• Cylindrically symmetric models of gravitational collapse to black holes: a short review