Einstein Equations in Vacuum as Integrability Conditions
- 30 January 1984
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 52 (5) , 322-324
- https://doi.org/10.1103/physrevlett.52.322
Abstract
The Einstein equations describing gravitational fields in vacuum are written as a compact exterior system of spinor-valued forms. A second system of equations is given, such that their integrability conditions are satisfied by virtue of the Einstein equations. This suggests the possibility of integrating the field equations by means of an inversetype procedure.Keywords
This publication has 4 references indexed in Scilit:
- New Bäcklund Transformations and Superposition Principle for Gravitational Fields with SymmetriesPhysical Review Letters, 1983
- Backlund transformations of axially symmetric stationary gravitational fieldsJournal of Physics A: General Physics, 1979
- Bäcklund Transformation for the Ernst Equation of General RelativityPhysical Review Letters, 1978
- Coping with different languages in the null tetrad formulation of general relativityJournal of Mathematical Physics, 1978