Shortcuts for Graviton Propagation in a Six Dimensional Brane World Model

Abstract

We consider a six dimensional brane world model with asymmetric warp factors for time and both extra spatial coordinates, $y$ and $z$. We derive the set of differential equations governing the shortest graviton path and numerically solve it for AdS-Schwarzschild and AdS-Reissner-Nordström bulks. In both cases we derive a set of conditions for the existence of shortcuts in bulks with shielded singularities and show some examples of shortcuts obtained under these conditions. Consequences are discussed.

29 pages, 8 figures

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• Instability of the Time Dependent Horava-Witten Model
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• Non-linear Brane Dynamics in 6 Dimensions