Localization of metric fluctuations on scalar branes
Massimo Giovannini (Institute for Theoretical Physics, Lausanne, University)
TL;DR
This paper investigates the localization properties of metric fluctuations on scalar branes in five-dimensional models, showing that vector and scalar fluctuations are not localized under certain conditions.
Contribution
It demonstrates that vector and scalar metric fluctuations are not localized on scalar branes with finite Planck mass and regular geometry.
Findings
Vector and scalar fluctuations are not localized on the brane.
Localization depends on the finiteness of the four-dimensional Planck mass.
Regular geometry is a necessary condition for the analysis.
Abstract
The localization of metric fluctuations on scalar brane configurations breaking spontaneously five-dimensional Poincar\'e invariance is discussed. Assuming that the four-dimensional Planck mass is finite and that the geometry is regular, it is demonstrated that the vector and scalar fluctuations of the metric are not localized on the brane.
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