Shortcuts for Graviton Propagation in a Six Dimensional Brane World Model

TL;DR

This paper investigates graviton shortcuts in a six-dimensional brane world with asymmetric warping, deriving conditions for shortcuts in specific bulk geometries and exploring their implications.

Contribution

It introduces a novel six-dimensional brane model with asymmetric warp factors and derives conditions for graviton shortcuts in complex bulk geometries.

Findings

Shortcuts exist under specific conditions in AdS-Schwarzschild and AdS-Reissner-Nordström bulks.

Numerical solutions demonstrate the feasibility of graviton shortcuts.

Implications for gravity localization and potential observable effects are discussed.

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-Nordstr\"om 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.