Abstract
In this Letter we explore an alternative to the central point of the
Randall-Sundrum brane world scenario, namely, the particular
non-factorizable metric, in order to solve the hierarchy problem. From a
topological viewpoint, we show that the exponential factor, crucial in
the Randall-Sundrum model, appears in our approach, only due to the
brane existence instead of a special metric background. Our results are
based in a topological gravity theory via a non-standard interaction
between scalar and non-Abelian degrees of freedom and in calculations
about localized modes of matter fields on the brane. We point out that
we obtain the same results of the Randall-Sundrum model using only one
3-brane, since a specific choice of a background metric is no longer
required. (C) 2004 Published by Elsevier B.V.
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