The analytic noncharacteristic Cauchy problem for nonlightlike isometries in vacuum space-times
- 1 November 1974
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 15 (11) , 1963-1966
- https://doi.org/10.1063/1.1666565
Abstract
The analytic noncharacteristic problem for the existence of a spacelike isometry in vacuum space‐time, given its existence on the hypersurfaces, on the Cauchy data, is posed and solved using the ADM equations. The timelike case is also solved. In both cases the isometry will locally exist.Keywords
This publication has 3 references indexed in Scilit:
- The Einstein Equations of Evolution-A Geometric ApproachJournal of Mathematical Physics, 1972
- Curvature Collineations: A Fundamental Symmetry Property of the Space-Times of General Relativity Defined by the Vanishing Lie Derivative of the Riemann Curvature TensorJournal of Mathematical Physics, 1969
- Theorem on Nonradiative Electromagnetic and Gravitational FieldsJournal of Mathematical Physics, 1965