Flat Vacuum Branes Without Fine Tuning

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Abstract
We construct solutions in purely gravitational bulk with flat vacuum branes without fine tuning the constants of the theory. Our solutions incorporate one or two branes and have topology S^1 x R^4 without Z_2 symmetry. They are not invariant under the four-dimensional Lorentz group effectively acting on the brane, but the significance of this fact will become clear only after the study of their perturbations.

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