Abstract
The structure of the completely integrable system of the Einstein-Petrov type I equations (recently derived by Brans) is investigated. By introducing a modification to the Newman-Penrose tetrad formalism, not only is the complete system obtained very easily and presented very concisely, but it is possible to obtain a set of identities which give explicitly the considerable redundancy within the complete system. This redundancy is exploited to identify a very compact subsystem of the complete system which arises very naturally in the new formalism, and which is of a different (in some senses, simpler) structure than the usual presentations for these spaces. The usefulness of this new subsystem in the search for exact solutions is demonstrated.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
