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

DOI10.1142/S0218271816500012zbMATH Open1337.83095arXiv1509.07965MaRDI QIDQ2809390

Jose Perico Esguerra, Jan Tristram Acuña

Publication date: 30 May 2016

Published in: International Journal of Modern Physics D (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1509.07965

zbMATH Keywords

thin shellIsrael formalismplanar collapseplanar-symmetric

Mathematics Subject Classification ID

Relativistic cosmology (83F05)

Cites Work

• The early universe. With a foreword by David Pines
• Exact Solutions of Einstein's Field Equations

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