Regular braneworlds with nonlinear bulk-fluids
Abstract
We construct a regular five-dimensional brane-world with localised gravity on a flat 3-brane. The matter content in the bulk is parametrised by an analog of a non-linear fluid with equation of state p=γλ between the `pressure' p and the `density' dependent on the 5th dimension. For γ negative and λ>1, the null energy condition is satisfied, and the geometry is free of singularities within finite distance from the brane, while the induced four-dimensional Planck mass is finite.
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