Empty-Space Generalization of the Schwarzschild Metric
- 1 July 1963
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 4 (7), 915-923
- https://doi.org/10.1063/1.1704018
Abstract
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.Keywords
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