Cascading DGP
Claudia de Rham, Gia Dvali, Stefan Hofmann, Justin Khoury, Oriol, Pujolas, Michele Redi, Andrew J. Tolley

TL;DR
This paper introduces a ghost-free higher codimension DGP model with cascading gravity, where the gravitational force law transitions from 6D to 5D and then to 4D at different scales, ensuring stability and regularity.
Contribution
It generalizes the DGP scenario to higher codimensions, providing a ghost-free model with a cascading gravitational force law in a flat 6D bulk.
Findings
The model is free of ghost instabilities for sufficiently large brane tension.
The gravitational force law cascades from 6D to 5D to 4D regimes.
The induced metric on the brane remains flat across the regimes.
Abstract
We present a higher codimension generalization of the DGP scenario which, unlike previous attempts, is free of ghost instabilities. The 4D propagator is made regular by embedding our visible 3-brane within a 4-brane, each with their own induced gravity terms, in a flat 6D bulk. The model is ghost-free if the tension on the 3-brane is larger than a certain critical value, while the induced metric remains flat. The gravitational force law `cascades' from a 6D behavior at the largest distances followed by a 5D and finally a 4D regime at the shortest scales.
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