Dynamics of a planar thin shell at a Taub-FRW junction

Abstract

We address the problem of stitching together the vacuum, static, planar-symmetric Taub spacetime and the flat Friedmann-Robertson-Walker cosmology using the Israel thin-shell formalism. The joining of Taub and FRW spacetimes is reminiscent of the Oppenheimer-Snyder collapse used in modeling the formation of a singularity from a collapsing spherical ball of dust. A possible mechanism for the formation of a planar singularity is provided. It is hoped that tackling such example will improve our intuition on planar-symmetric systems in Einstein's general relativity.

This is the manuscript version submitted on July 29, 2015 to IJMPD. A revised version of this manuscript has been accepted by IJMPD

References in corpus (1)

• Taub's plane-symmetric vacuum spacetime revisited

Cited by in corpus (1)

• Static plane symmetric solutions in $f(Q)$ gravity