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Shortcuts for Graviton Propagation in a Six Dimensional Brane World Model

Elcio Abdalla·Adenauer Casali·Bertha Cuadros-Melgar
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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.

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Elcio Abdalla, Adenauer Casali, Bertha Cuadros-Melgar. 2002-05-20. Shortcuts for Graviton Propagation in a Six Dimensional Brane World Model. https://doi.org/10.1016/s0550-3213(02)00797-6

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