On the uniqueness of static perfect-fluid solutions in general relativity

Mathematics – Mathematical Physics

Scientific paper

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Scientific paper

Following earlier work of Masood-ul-Alam, we consider a uniqueness problem for non-rotating stellar models. Given a static, asymptotically flat perfectfluid spacetime with barotropic equation of state θ( p), and given another such spacetime which is spherically symmetric and has the same θ( p) and the same surface potential: we prove that both are identical provided θ( p) satisfies a certain differential inequality. This inequality is more natural and less restrictive than the conditions required by Masood-ul-Alam.

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