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Empty-Space Generalization of the Schwarzschild Metric

Ezra T. NewmanUniversity of Pittsgurgh, Pittsburgh, PennsylvaniaLouis A. TamburinoUniversity of Pittsgurgh, Pittsburgh, PennsylvaniaT. UntiUniversity of Pittsgurgh, Pittsburgh, Pennsylvania
1963en
ABI

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A new class of empty-space metrics is obtained, one member of this class being a natural generalization of the Schwarzschild metric. This latter metric contains one arbitrary parameter in addition to the mass. The entire class is the set of metrics which are algebraically specialized (contain multiple-principle null vectors) such that the propagation vector is not proportional to a gradient. These metrics belong to the Petrov class type I degenerate.

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