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Singularity structure of a self-similar Tolman type model in a higher- dimensional spacetime. (English) Zbl 0812.53079

Exact solutions for a spherically symmetric \((n + 2)\)-dimensional inhomogeneous distribution of matter are obtained. It reduces to the familiar Tolman-Bondi metric when spacetime dimensions are four. The solution presents yet one more counterexample to the cosmic censorship hypothesis.

MSC:

53Z05 Applications of differential geometry to physics
83C75 Space-time singularities, cosmic censorship, etc.
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