Stellar stability in brane-worlds revisited

Abstract

We consider here the general conditions for the stability of brane stars that obey a so called a "minimal setup": the nonlocal anisotropic stress and energy flux are everywhere absent, and the only permitted Weyl correction is the interior solution of the nonlocal energy density. Along with a series of simple conditions, we show that the Germani-Maartens solution with a constant density sets up the upper bound for the compactness of that particular class of brane stars. The general demonstration is based upon the properties of the interior solutions of the stars, although we also show that the minimal setup implies a Schwarzschild exterior.

5 pages, 1 figure

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• Buchdahl compactness limit for a pure Lovelock static fluid star
• Extra packing of mass of anisotropic interiors induced by MGD
• Buchdahl compactness limit and gravitational field energy
• Buchdahl's inequality in five dimensional Gauss-Bonnet gravity
• Packing extra mass in compact stellar structures: An interplay between Kalb-Ramond field and extra dimensions
• Stellar models in Brane Worlds
• Compact objects in unimodular gravity
• Horndeski fermion-boson stars
• A possible testbed for warped extra dimension from the angle of Buchdahl's limit