Extending the cascading gravity model to lower dimensions
Abstract
The cascading gravity model was proposed to eliminate instabilities of the original Dvali, Gabadadze, Porrati model by embedding our 4D (where D refers to the number of spacetime dimensions) 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 selfconsistent 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.
 Publication:

Physical Review D
 Pub Date:
 July 2014
 DOI:
 10.1103/PhysRevD.90.024002
 arXiv:
 arXiv:1404.7145
 Bibcode:
 2014PhRvD..90b4002H
 Keywords:

 04.50.h;
 Higherdimensional gravity and other theories of gravity;
 General Relativity and Quantum Cosmology;
 Astrophysics  Cosmology and Nongalactic Astrophysics;
 High Energy Physics  Theory
 EPrint:
 Journal reference added: Phys. Rev. D 90, 024002