# 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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