Recurrence conditions in space-time
- 1 January 1977
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 10 (1) , 29-42
- https://doi.org/10.1088/0305-4470/10/1/011
Abstract
A general discussion of the recurrence properties of the Riemann, Ricci and Weyl tensors is given. Space-times possessing these properties are classified according to the Petrov type of the Weyl tensor and the Legre type of the Ricci tensor. The proofs of some known theorems are shortened and some new results are given.Keywords
This publication has 13 references indexed in Scilit:
- The classification of the Ricci tensor in general relativity theoryJournal of Physics A: General Physics, 1976
- Ricci recurrent space timesPhysics Letters A, 1976
- Conformally flat solutions of the Einstein−Maxwell equations for null electromagnetic fieldsJournal of Mathematical Physics, 1975
- Complex recurrent space-timesJournal of Physics A: Mathematical, Nuclear and General, 1974
- The Rainich conditions for neutrino fieldsInternational Journal of Theoretical Physics, 1972
- Second-order recurrent space-times in general relativityLettere al Nuovo Cimento (1971-1985), 1972
- Complex recurrent space-timesProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1972
- Konform flache GravitationsfelderCommunications in Mathematical Physics, 1967
- Generalization of a Theorem by Goldberg and SachsJournal of Mathematical 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