Flat 3-brane with tension in cascading gravity.

@article{deRham2009Flat3W,
  title={Flat 3-brane with tension in cascading gravity.},
  author={Claudia de Rham and Justin Khoury and Andrew J. Tolley},
  journal={Physical review letters},
  year={2009},
  volume={103 16},
  pages={
          161601
        }
}
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. 

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