Decomposition of the Lorentz Transformation Matrix into Skew-Symmetric Tensors
- 1 August 1965
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 6 (8) , 1201-1203
- https://doi.org/10.1063/1.1704760
Abstract
Any matrix describing a finite proper orthochronous Lorentz transformation of the null tetrad in Minkowski space may be written as a polynomial of the second order in skew‐symmetric tensors. From a geometrical point of view these tensors describe two‐dimensional planes which are mapped by the Lorentz transformation into themselves.Keywords
This publication has 2 references indexed in Scilit:
- An Extension of Euler's Theorem to Minkowski SpaceAmerican Journal of Physics, 1963
- Gravitational waves in general relativity. VI. The outgoing radiation conditionProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1961