TYPE D VACUUM METRICS.

作者: William Kinnersley

DOI: 10.1063/1.1664958

关键词: Field equationGravitationClassical field theoryFormalism (philosophy of mathematics)PhysicsDifferential equationSmall numberMathematical analysis

摘要: Using the Newman‐Penrose formalism, vacuum field equations are solved for Petrov type D. An exhaustive set of ten metrics is obtained, including among them a new rotating solution closely related to Ehlers‐Kundt ``C'' metric. They all possess at least two Killing vectors and depend only on small number arbitrary constants.

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