作者: William Kinnersley
DOI: 10.1063/1.1664958
关键词: Field equation 、 Gravitation 、 Classical field theory 、 Formalism (philosophy of mathematics) 、 Physics 、 Differential equation 、 Small number 、 Mathematical 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.