Geometrical thick branes in 5D Weyl gravity
In our proposal the Riemannian structure of the 5D space-time is replaced by a Weyl integrable one, which allows for variations in the length of vectors during parallel transport. The conformal technique is used to find a solution that respects 4D Poincare invariance. This solution represents a set of thick branes that do not respect Z2 symmetry and generalises, in this way, the Randall-Sundrum solution. In our set-up the non 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 transverse traceless modes of the fluctuations that decouple from the scalar field supports a naturally massless and normalizable 4D graviton. Thus, our model reproduces conventional 4D gravity. The spectrum of the Kaluza-Klein modes turns out to be continuous (as in the Randall-Sundrum case).
| Main Authors: | , |
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| Format: | Digital revista |
| Language: | English |
| Published: |
Sociedad Mexicana de Física
2007
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| Online Access: | http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0035-001X2007001000003 |
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