Geometrical thick branes in 5D Weyl gravity

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Main Author: N. Barbosa-Cendejas
Format: Artículo científico
Language:en
Published: Sociedad Mexicana de Física A.C. 2007
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author N. Barbosa-Cendejas
author_facet N. Barbosa-Cendejas
contents Geometrical thick branes in 5D Weyl gravity N. Barbosa-Cendejas A. Herrera-Aguilar Física, Astronomía y Matemáticas thick branes 5D Weyl manifold Localization of 4D gravity In our proposal the Riemannian structure of the 5D space-time is replaced by aWeyl integrable one, which allows for variations in the lengthof vectors during parallel transport. The conformal technique is used to find a solution that respects 4D Poincar´e invariance. This solutionrepresents a set of thick branes that do not respect Z2 symmetry and generalises, in this way, the Randall-Sundrum solution. In our set-up thenon symmetric branes are constructed from the scalar field and we have no need of introducing them by hand as delta functions in the action(as in the Randall-Sundrum case). We examine the fluctuations of the metric around the background solution. The equation for the transversetraceless modes of the fluctuations that decouple from the scalar field supports a naturally massless and normalizable 4D graviton. Thus, ourmodel reproduces conventional 4D gravity. The spectrum of the Kaluza-Klein modes turns out to be continuous (as in the Randall-Sundrumcase). 2007 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57066402 https://www.redalyc.org/journal/570/57066402/ https://www.redalyc.org/journal/570/57066402/html/ https://www.redalyc.org/journal/570/57066402/57066402.epub https://www.redalyc.org/journal/570/57066402/movil en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.4 Vol.53
format Artículo científico
id redalyc_57066402
institution Redalyc
language en
publishDate 2007
publisher Sociedad Mexicana de Física A.C.
spellingShingle Geometrical thick branes in 5D Weyl gravity
N. Barbosa-Cendejas
Física, Astronomía y Matemáticas
thick branes
5D Weyl manifold
Localization of 4D gravity
Geometrical thick branes in 5D Weyl gravity N. Barbosa-Cendejas A. Herrera-Aguilar Física, Astronomía y Matemáticas thick branes 5D Weyl manifold Localization of 4D gravity In our proposal the Riemannian structure of the 5D space-time is replaced by aWeyl integrable one, which allows for variations in the lengthof vectors during parallel transport. The conformal technique is used to find a solution that respects 4D Poincar´e invariance. This solutionrepresents a set of thick branes that do not respect Z2 symmetry and generalises, in this way, the Randall-Sundrum solution. In our set-up thenon symmetric branes are constructed from the scalar field and we have no need of introducing them by hand as delta functions in the action(as in the Randall-Sundrum case). We examine the fluctuations of the metric around the background solution. The equation for the transversetraceless modes of the fluctuations that decouple from the scalar field supports a naturally massless and normalizable 4D graviton. Thus, ourmodel reproduces conventional 4D gravity. The spectrum of the Kaluza-Klein modes turns out to be continuous (as in the Randall-Sundrumcase). 2007 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57066402 https://www.redalyc.org/journal/570/57066402/ https://www.redalyc.org/journal/570/57066402/html/ https://www.redalyc.org/journal/570/57066402/57066402.epub https://www.redalyc.org/journal/570/57066402/movil en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.4 Vol.53
title Geometrical thick branes in 5D Weyl gravity
topic Física, Astronomía y Matemáticas
thick branes
5D Weyl manifold
Localization of 4D gravity
url https://www.redalyc.org/articulo.oa?id=57066402
https://www.redalyc.org/journal/570/57066402/
https://www.redalyc.org/journal/570/57066402/html/
https://www.redalyc.org/journal/570/57066402/57066402.epub
https://www.redalyc.org/journal/570/57066402/movil