Lagrangian formalism of gravity in the Randall-Sundrum model
Abstract
We derive the effective Lagrangian of the physical four-dimensional fields in the Randall-Sundrum (RS) model, and use this to calculate the Newtonian gravitational potential between two point sources on the brane. The effect of the radion is emphasized, and it is shown to disappear when the hidden brane is taken to infinity, i.e. when we only have one brane. As a preliminary, we derive the corresponding Lagrangian in the simpler geometry of a flat spacetime with one extra dimension compactified on a torus. We also study the gauge invariance of the theory, and note that the massless vector field that is present for the torus disappears in the RS model because of the orbifold symmetry.
Cite
@article{arxiv.hep-ph/0412109,
title = {Lagrangian formalism of gravity in the Randall-Sundrum model},
author = {Petter Callin and Finn Ravndal},
journal= {arXiv preprint arXiv:hep-ph/0412109},
year = {2016}
}
Comments
10 pages, latex with revtex4, 5 postscript figures; Section on gauge transformations added, conclusions unchanged