Regular braneworlds with nonlinear bulk-fluids
Résumé
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=\gamma \rho ^\lambda $ between the ‘pressure’ p and the ‘density’ $\rho $ dependent on the 5th dimension. For $\gamma $ negative and $\lambda >1$, 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.