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The Potential of Fields in Einstein's Theory of Gravitation (Hardcover, 1st ed. 2019)
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The Potential of Fields in Einstein's Theory of Gravitation (Hardcover, 1st ed. 2019)
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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 space-time by translating all the tensorial
relations concerning the Lanczos potential into the language of
tetrad formalisms and using the Newman-Penrose and
Geroch-Held-Penrose formalisms. In addition, the book obtains the
Lanczos potential for perfect fluid space-time, 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
Newman-Penrose 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.
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