Algebraically special twisting gravitational fields and CR structures
- 1 March 1990
- journal article
- Published by IOP Publishing in Classical and Quantum Gravity
- Vol. 7 (3) , 309-328
- https://doi.org/10.1088/0264-9381/7/3/007
Abstract
A natural framework based on the theory of Cauchy-Riemann structures (CR) is derived to study gravitational fields with twisting shear-free geodesic null congruences. The authors write down Einstein vacuum and pure radiation equations for these fields using Cartan's invariants of CR geometry. The case when the fields admit more than a two-dimensional conformal group of symmetries is solved completely. Among pure radiation solutions of this kind new solutions are obtained.Keywords
This publication has 10 references indexed in Scilit:
- Homothetic transformations with fixed points in spacetimeGeneral Relativity and Gravitation, 1988
- Symmetries of Cauchy-Riemann spacesLetters in Mathematical Physics, 1988
- Spacetimes with cosmological constant and a conformal Killing field have constant curvatureClassical and Quantum Gravity, 1987
- Homothetic and conformal symmetries of solutions to Einstein's equationsCommunications in Mathematical Physics, 1986
- On the Robinson theorem and shearfree geodesic null congruencesLetters in Mathematical Physics, 1985
- Conformal geometry of flows in n dimensionsJournal of Mathematical Physics, 1983
- Einstein spaces and homothetic motions. IJournal of Mathematical Physics, 1980
- Real hypersurfaces in complex manifoldsActa Mathematica, 1974
- Einstein Spaces with Symmetry GroupsJournal of Mathematical Physics, 1970
- Null Electromagnetic FieldsJournal of Mathematical Physics, 1961