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.

arXiv comment37 pages, 6 figures, final version matches published one

References in corpus (15)

• An alternative to quintessence
• Generalized Chaplygin Gas, Accelerated Expansion and Dark Energy-Matter Unification
• Properties of singularities in (phantom) dark energy universe
• A Small Cosmological Constant from a Large Extra Dimension
• You need not be afraid of phantom energy
• Phantom Cosmology without Big Rip Singularity
• Bounds on curved domain walls in 5d gravity
• Future Singularities of Isotropic Cosmologies
• 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
• Nontrival Cosmological Constant in Brane Worlds with Unorthodox Lagrangians
• Curved branes with regular support
• Braneworld cosmological singularities

Cited by in corpus (3)

• Impact of compactlike and asymmetric configurations of thick branes on the scalar-tensor representation of $f\left(R,T\right)$ gravity
• Self-tuning of the cosmological constant in brane-worlds with $P(X,\varphi )$
• Localizing branes with bifurcating bulks