Graviton localization and Newton's law for brane models with a non-minimally coupled bulk scalar field

Understand

Brane world models with a non-minimally coupled bulk scalar field have been studied recently.

• In this paper we consider metric fluctuations around an arbitrary gravity-scalar background solution, and we show that the corresponding spectrum includes a localized zero mode which strongly depends on the profile of the background scalar field.
• For a special class of solutions, with a warp factor of the RS form, we solve the linearized Einstein equations, for a point-like mass source on the brane, by using the brane bending formalism.
• We see that general relativity on the brane is recovered only if we impose restrictions on the parameter space of the models under consideration.