Integration methods within existing tetrad formalisms in general relativity
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Publication:1209257
DOI10.1007/BF02418213zbMath0789.53045MaRDI QIDQ1209257
Publication date: 16 May 1993
Published in: General Relativity and Gravitation (Search for Journal in Brave)
Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05)
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Cites Work
- Unnamed Item
- Sufficiency of the Ricci equations for characterizing the Riemann tensor
- A new approach to Einstein-Petrov type I spaces
- The structure of tetrad formalisms in general relativity: the general case
- On asymptotically flat spacetimes
- Killing vectors in empty space algebraically special metrics. I
- On algebraically special space-times with twisting rays
- Insufficiency of the Ricci and Bianchi identities for characterising curvature
- On Chandrasekhar’s perturbation analysis. I. The superfluity of the N.P. system
- An Approach to Gravitational Radiation by a Method of Spin Coefficients
- Complete integrability conditions of the Einstein–Petrov equations, type I
- A space-time calculus based on pairs of null directions
- Type D Vacuum Metrics
- Analysis of the Newman-Unti Integration Procedure for Asymptotically Flat Space-Times
- Behavior of Asymptotically Flat Empty Spaces