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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...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer Berlin Heidelberg
2014
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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. |
format | Online Article Text |
id | pubmed-4423908 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2014 |
publisher | Springer Berlin Heidelberg |
record_format | MEDLINE/PubMed |
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 |
work_keys_str_mv | AT antoniadisignatios envelopingbranesandbraneworldsingularities AT cotsakisspiros envelopingbranesandbraneworldsingularities AT klaoudatouifigeneia envelopingbranesandbraneworldsingularities |