Empty-Space Generalization of the Schwarzschild Metric
- 1 July 1963
- journal article
- conference paper
- 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
This publication has 10 references indexed in Scilit:
- The Flatter Regions of Newman, Unti, and Tamburino's Generalized Schwarzschild SpaceJournal of Mathematical Physics, 1963
- Empty Space Metrics Containing Hypersurface Orthogonal Geodesic RaysJournal of Mathematical Physics, 1962
- Behavior of Asymptotically Flat Empty SpacesJournal of Mathematical Physics, 1962
- Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated systemProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1962
- An Approach to Gravitational Radiation by a Method of Spin CoefficientsJournal of Mathematical Physics, 1962
- Some spherical gravitational waves in general relativityProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1962
- Gravitational waves in general relativity. VI. The outgoing radiation conditionProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1961
- The plane-fronted gravitational wavesThe European Physical Journal A, 1961
- A spinor approach to general relativityAnnals of Physics, 1960
- Empty Space-Times Admitting a Three Parameter Group of MotionsAnnals of Mathematics, 1951