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Journal Article

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

MPS-Authors

Ehlers,  Jürgen
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Rindler,  Wolfgang
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Ehlers, J., & Rindler, W. (1993). Successive Schwarzschild spheres and other rigidity frontiers in spherically symmetric dust-plus-vacuum spacetimes. Physics Letters A, 180(3), 197-202. doi:10.1016/0375-9601(93)90695-V.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5C30-D
Abstract
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.