1301.6444 (Gabriel Germán et al.)

Study of field fluctuations and their localization in a thick braneworld
generated by gravity non-minimally coupled to a scalar field with a
Gauss-Bonnet term    [PDF]

Gabriel Germán, Alfredo Herrera--Aguilar, Dagoberto Malagón--Morejón, Israel Quiros, Roldão da Rocha

We consider warped five-dimensional smooth braneworlds with 4D dimensional Poincar\'e invariance originated from bulk scalar matter non-minimally coupled to gravity with an additional a Gauss-Bonnet term. We present exact solutions for the full braneworld configuration in contrast to previous results where only approximate solutions were constructed due to the highly non-linear character of the relevant differential equations. These{}{solutions allow us to} study the necessary conditions for the finiteness of the 4D Planck mass and its relation to a more rigorous analysis of 4D gravity localization. We also analyze the localization properties of scalar, vector and tensor fluctuation modes for the constructed field configurations. We show that for the considered backgrounds, only the massless tensor mode, i.e. the 4D graviton, is localized on the brane, while the vector and scalar modes are not confined to the brane.

View original: http://arxiv.org/abs/1301.6444