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 $p=\gamma {\rho }^{\lambda }$ 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.

37 pages, 6 figures, final version matches published one

References in corpus (5)

• Future Universe With w < -1 Without Big Smash
• Cosmological Singularities and Bel-Robinson Energy
• Brane singularities and their avoidance
• Brane singularities with mixtures in the bulk
• Curved branes with regular support