Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2008-09-21
Int.J.Mod.Phys.D18:837-852,2009
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
22 pages, 3 figures, version to be published in International Journal of Modern Physics D (IJMPD)
Scientific paper
10.1142/S0218271809014790
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 ${\cal U}(r)$ 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-N\"{o}rdstrom-like exterior solution, the effects of bulk gravity on pressure and density are found through matching conditions.
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