Induced gravity on intersecting brane-worlds Part I: Maximally symmetric solutions

Understand

We explore models of intersecting brane-worlds with induced gravity terms on codimension one branes and on their intersection.

• Maximally symmetric solutions for the branes and the intersection are found.
• We find new self-accelerating solutions.
• In a 6d spacetime, the solutions realize the see-saw modification of gravity where the UV scale of the modification to 4d gravity is determined by 6d Planck scale given by $M_6 \sim 10^{-3}$eV and the IR scale of the modification is determined by $M_6^2/M_4 \sim H_0 \sim 10^{-42}$ GeV where $H_0$ is present-day Hubble scale.