Non-uniform Braneworld Stars: an Exact Solution

Abstract

The first exact interior solution to Einstein's field equations for a static and non-uniform braneworld star with local and non-local bulk terms is presented. It is shown that the bulk Weyl scalar $\mathcal{U}(r)$ is always negative inside the stellar distribution, in consequence it reduces both the effective density and the effective pressure. It is found that the anisotropy generated by bulk gravity effect has an acceptable physical behaviour inside the distribution. Using a Reissner-Nördstrom-like exterior solution, the effects of bulk gravity on pressure and density are found through matching conditions.

22 pages, 3 figures, version to be published in International Journal of Modern Physics D (IJMPD)

References in corpus (5)

• Galactic dark matter as a bulk effect on the brane
• Brane-World Black Hole Solutions via a Confining Potential
• Brane Cosmological Evolution With Bulk Matter
• Spherically symmetric problem on the brane and galactic rotation curves
• Gravitational instability on the brane: the role of boundary conditions