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arxiv: 1509.07965 · v1 · submitted 2015-09-26 · 🌀 gr-qc

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

Jan Tristram Acu\~na , Jose Perico Esguerra
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classification 🌀 gr-qc
keywords formationplanarplanar-symmetricsingularitytaubaddressballcollapse
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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.

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  1. Static plane symmetric solutions in $f(Q)$ gravity

    gr-qc 2025-12 unverdicted novelty 5.0

    f(Q) gravity yields Taub-de Sitter-like plane symmetric vacuum solutions, and quadratic models support isotropic slabs where maximum pressure is offset from the center with thickness and pressure increasing for negative α.