Dynamics of a planar thin shell at a Taub-FRW junction
General Relativity and Quantum Cosmology
2015-09-29 v1
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.
Cite
@article{arxiv.1509.07965,
title = {Dynamics of a planar thin shell at a Taub-FRW junction},
author = {Jan Tristram Acuña and Jose Perico Esguerra},
journal= {arXiv preprint arXiv:1509.07965},
year = {2015}
}
Comments
This is the manuscript version submitted on July 29, 2015 to IJMPD. A revised version of this manuscript has been accepted by IJMPD