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Enveloping branes and brane-world singularities

The existence of envelopes is studied for systems of differential equations in connection with the method of asymptotic splittings which allows one to determine the singularity structure of the solutions. The result is applied to brane-worlds consisting of a 3-brane in a five-dimensional bulk, in th...

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Detalles Bibliográficos
Autores principales: Antoniadis, Ignatios, Cotsakis, Spiros, Klaoudatou, Ifigeneia
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2014
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4423908/
https://www.ncbi.nlm.nih.gov/pubmed/25983638
http://dx.doi.org/10.1140/epjc/s10052-014-3192-9
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author Antoniadis, Ignatios
Cotsakis, Spiros
Klaoudatou, Ifigeneia
author_facet Antoniadis, Ignatios
Cotsakis, Spiros
Klaoudatou, Ifigeneia
author_sort Antoniadis, Ignatios
collection PubMed
description The existence of envelopes is studied for systems of differential equations in connection with the method of asymptotic splittings which allows one to determine the singularity structure of the solutions. The result is applied to brane-worlds consisting of a 3-brane in a five-dimensional bulk, in the presence of an analog of a bulk perfect fluid parameterizing a generic class of bulk matter. We find that all flat brane solutions suffer from a finite-distance singularity contrary to previous claims. We then study the possibility of avoiding finite-distance singularities by cutting the bulk and gluing regular solutions at the position of the brane. Further imposing physical conditions such as finite Planck mass on the brane and positive energy conditions on the bulk fluid, excludes, however, this possibility as well.
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spelling pubmed-44239082015-05-13 Enveloping branes and brane-world singularities Antoniadis, Ignatios Cotsakis, Spiros Klaoudatou, Ifigeneia Eur Phys J C Part Fields Regular Article - Theoretical Physics The existence of envelopes is studied for systems of differential equations in connection with the method of asymptotic splittings which allows one to determine the singularity structure of the solutions. The result is applied to brane-worlds consisting of a 3-brane in a five-dimensional bulk, in the presence of an analog of a bulk perfect fluid parameterizing a generic class of bulk matter. We find that all flat brane solutions suffer from a finite-distance singularity contrary to previous claims. We then study the possibility of avoiding finite-distance singularities by cutting the bulk and gluing regular solutions at the position of the brane. Further imposing physical conditions such as finite Planck mass on the brane and positive energy conditions on the bulk fluid, excludes, however, this possibility as well. Springer Berlin Heidelberg 2014-12-12 2014 /pmc/articles/PMC4423908/ /pubmed/25983638 http://dx.doi.org/10.1140/epjc/s10052-014-3192-9 Text en © The Author(s) 2014 https://creativecommons.org/licenses/by/4.0/ Open AccessThis article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited. Funded by SCOAP3 / License Version CC BY 4.0.
spellingShingle Regular Article - Theoretical Physics
Antoniadis, Ignatios
Cotsakis, Spiros
Klaoudatou, Ifigeneia
Enveloping branes and brane-world singularities
title Enveloping branes and brane-world singularities
title_full Enveloping branes and brane-world singularities
title_fullStr Enveloping branes and brane-world singularities
title_full_unstemmed Enveloping branes and brane-world singularities
title_short Enveloping branes and brane-world singularities
title_sort enveloping branes and brane-world singularities
topic Regular Article - Theoretical Physics
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4423908/
https://www.ncbi.nlm.nih.gov/pubmed/25983638
http://dx.doi.org/10.1140/epjc/s10052-014-3192-9
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