The Potential of Fields in Einstein's Theory of Gravitation

This book presents a detailed study of the Lanczos potential in general relativity by using tetrad formalisms. It demonstrates that these formalisms offer some simplifications over the tensorial methods, and investigates a general approach to finding the Lanczos potential for algebraic spacetime by translating all the tensorial relations concerning the Lanczos potential into the language of tetrad formalisms and using the NewmanPenrose and GerochHeldPenrose formalisms. In addition, the book obtains the Lanczos potential for perfect fluid spacetime, and applies the results to cosmological models of the universe. In closing, it highlights other methods, apart from tetrad formalisms, for finding the Lanczos potential, as well as further applications of the NewmanPenrose formalism. Given its scope, the book will be of interest to pure mathematicians, theoretical physicists and cosmologists, and will provide common ground for communication among these scientific communities.