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arXiv · 1709.10458

Cylindrically symmetric inhomogeneous dust collapse with a zero expansion component

Irene Brito·M. F. A. da Silva·Filipe C. Mena·N. O. Santos
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Abstract

We investigate a class of cylindrically symmetric inhomogeneous $Λ$-dust spacetimes which have a regular axis and some zero expansion component. For $Λ\ne 0$, we obtain new exact solutions to the Einstein equations and show that they are unique, within that class. For $Λ=0$, 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.

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Irene Brito, M. F. A. da Silva, Filipe C. Mena, N. O. Santos. 2017-09-29. Cylindrically symmetric inhomogeneous dust collapse with a zero expansion component. https://doi.org/10.1088/1361-6382%2Faa8aa8

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