7 research outputs found
Classical tests of General Relativity in thick branes
Classical tests of General Relativity in braneworld scenarios have been
investigated recently with the purpose of posing observational constraints on
parameters of some models of infinitely thin brane. Here we consider the motion
of test particles in a thick brane scenario that corresponds to a regularized
version of the Garriga-Tanaka solution, which describes a black hole solution
in RSII model, in the weak field regime. By adapting a mechanism previously
formulated in order to describe the confinement of massive tests particles in a
domain wall (that simulates classically the trapping of the Dirac field in a
domain wall), we study the influence of the brane thickness on the
four-dimensional (4D) path of massless particles. Although the geometry is not
warped and, therefore, the bound motion in the transverse direction is not
decoupled from the movement in the 4D-world, we can find an explicit solution
for the light deflection and the time delay, if the motion in the fifth
direction is a high frequency oscillation. We verify that, owing to the
transverse motion, the light deflection and the time delay depend on the energy
of the light rays. This feature may lead to the phenomenon of gravitational
rainbow. We also consider the problem from a semi-classical perspective,
investigating the effects of the brane thickness on the motion of the zero-mode
in the 4D-world