Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-02-20
Nucl.Phys. B643 (2002) 187-200
Physics
High Energy Physics
High Energy Physics - Theory
12 pages, latex, 7 eps figures. Some other cases of the class of solution found are shown, the introduction rewritten, section
Scientific paper
10.1016/S0550-3213(02)00691-0
We study a non-Riemannian modification of 5-dimensional Kaluza-Klein theory. In our proposal the Riemannian structure of the five-dimensional manifold is replaced by a Weyl-integrable one. In this context a 4-dimensional Poincar$\grave{e}$ invariant solution is studied. Spacetime structures with thick smooth branes separated in the extra dimension arise. We focus our attention, mainly, in a case where the massless graviton is located in one of the thick branes at the origin, meanwhile the matter degrees of freedom are confined to the other brane. Due to the small overlap of the graviton's wave-function with the second thick brane, the model accounts for a resolution of the mass hierarchy problem a la Randall-Sundrum. Although, initially, no assumptions are made about the topology of the extra dimension, the solution found yields an extra space that is effectivelly compact and respects $Z_2$ symmetry. Unlike some other models with branes, a preliminary study (not including the effect of scalar perturbations) shows that the spectrum of massive Kaluza-Klein states is quantized and free of tachyonic modes.
Arias Olga
Cardenas Rolando
Quiros Israel
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