Brane-world stars with solid crust and vacuum exterior

摘要

The minimal geometric deformation approach is employed to show the existenceof brane-world stellar distributions with vacuum Schwarzschild exterior, thuswithout energy leaking from the exterior of the brane-world star into the extradimension. The interior satisfies all elementary criteria of physicalacceptability for a stellar solution, namely, it is regular at the origin, thepressure and density are positive and decrease monotonically with increasingradius, finally all energy conditions are fulfilled. A very thin solid crustwith negative radial pressure separates the interior from the exterior, havinga thickness $\Delta $ inversely proportional to both the brane tension $\sigma$ and the radius $R$ of the star, i.e. $\Delta ^{-1}\sim R\,\sigma $. Thisbrane-world star with Schwarzschild exterior would appear only thermallyradiating to a distant observer and be fully compatible with the stringentconstraints imposed on stellar parameters by observations of gravitationallensing, orbital evolutions or properties of accretion disks.