Regular braneworlds with nonlinear bulk-fluids

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= γρλ between the ‘pressure’ p and the ‘density’ ρ 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. © 2021, The Author(s).