title: Flat 3-brane with tension in cascading gravity.
abstract: In the cascading gravity brane-world scenario, our 3-brane lies within a succession of lower-codimension branes, each with their own induced gravity term, embedded into each other in a higher-dimensional space-time. In the (6+1)-dimensional version of this scenario, we show that a 3-brane with tension remains flat, at least for sufficiently small tension that the weak-field approximation is valid. The bulk solution is singular nowhere and remains in the perturbative regime everywhere.
authors.affiliation: Perimeter Institute for Theoretical Physics, 31 Caroline Street North, Waterloo, Ontario, N2L 2Y5, Canada.
authors.forename: Claudia
authors.initials: C
authors.lastname: de Rham
authors.forename: Justin
authors.initials: J
authors.lastname: Khoury
authors.forename: Andrew
authors.initials: A
authors.lastname: Tolley