Extending cascading gravity model to lower dimensions

Abstract

The cascading gravity model was proposed to eliminate instabilities of the original DGP model by embedding our 4D universe into a 5D brane, which is itself embedded in a 6D bulk. Thus gravity cascades from 6D down to 4D as we decrease the length scales. We show that it is possible to extend this setup to lower dimensions as well, i.e. there is a self-consistent embedding of a 3D brane into a 4D brane, which is itself embedded in a 5D bulk and so on. This extension fits well into the "vanishing dimensions" framework in which dimensions open up as we increase the length scales.

Journal reference added: Phys. Rev. D 90, 024002

References in corpus (11)

• 4D Gravity on a Brane in 5D Minkowski Space
• Opening up extra dimensions at ultra-large scales
• Cascading DGP
• Cascading Gravity and Degravitation
• Charting the Landscape of Modified Gravity
• Detecting Vanishing Dimensions Via Primordial Gravitational Wave Astronomy
• Flat 3-Brane with Tension in Cascading Gravity
• Searching for the Layered Structure of Space at the LHC
• Vanishing Dimensions and Planar Events at the LHC
• Brane Induced Gravity: Codimension-2
• Reply to the "Comment on: Detecting Vanishing Dimensions Via Primordial Gravitational Wave Astronomy"

Cited by in corpus (7)

• Dimension and Dimensional Reduction in Quantum Gravity
• Multibrane DGP model: Our universe as a stack of $(2+1)$-dim branes
• Vanishing dimensions: Review
• Induced higher-derivative massive gravity on a 2-brane in 4D Minkowski space
• Domain walls in Horndeski gravity
• The critical tension in the Cascading DGP model
• Softly higher-derivative massive gravity