Abstract
We consider the problem of gravitational forces between point particles on the branes in a Randall-Sundrum (R-S) two brane model with symmetry. Matter is assumed to produce a perturbation to the R-S vacuum metric and all the 5D Einstein equations are solved to linearized order (for arbitrary matter on both branes). We show that while the gauge condition can always be achieved without brane bending, the condition leads to large brane bending. The static potential arising from the zero modes and the corrections due to the Kaluza-Klein modes are calculated. Gravitational forces on the Planck () brane recover Newtonian physics with small Kaluza-Klein corrections (in accord with other work). However, forces on the TeV () brane due to particles on that brane are strongly distorted by large R-S exponentials.
- Received 7 February 2005
DOI:https://doi.org/10.1103/PhysRevD.71.124024
©2005 American Physical Society