Quasi-Localization of Gravity by Resonant Modes

Abstract

We examine the behaviour of gravity in brane theories with extra dimensions in a non-factorizable geometry. We find that for metrics which are asymptotically flat far from the brane there is a resonant graviton mode at zero energy. The presence of this resonance ensures quasi-localization of gravity, whereby at intermediate scales the gravitational laws on the brane are approximately four dimensional. However, for scales larger than the lifetime of the graviton resonance the five dimensional laws of gravity will be reproduced due to the decay of the four dimensional graviton. We also present a simple classification of the possible types of effective gravity theories on the brane that can appear for general non-factorizable background theories.

Figures (3)

• Figure 1: The volcano box potential.
• Figure 2: The quantity $F_m=\frac{\pi}{2}\psi_m(0)^2$ as a function of $m$ for the geometry \ref{['intg1']} (with $a=.25,\ k=2$), which smoothly interpolates between AdS and Minkowski space. The resonance at $m=0$ is clearly visible as well as the ultimate rise to 1 as the energy goes over the height of the barrier.
• Figure 3: A close-up of the resonance in Figure 2.