Successive Schwarzschild spheres and other rigidity frontiers in spherically symmetric dust-plus-vacuum spacetimes

Physics

Scientific paper

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Scientific paper

Just outside a Schwarzschild sphere concentric rigid test matter spheres can persist while just inside they cannot. We construct spacetimes containing successive Schwarzschild spheres and show that there exist similar but moving rigidity frontiers between them. Some of our solutions exemplify inextensible nonempty spacetimes with Kruskal-like topology having two asymptotically flat ends of possibly different Schwarzschild (≡ADM) mass.

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