The Potential of Fields in Einstein's Theory of Gravitation
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Beschreibung
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.
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.
Provides a detailed analysis of tetrad formalisms Offers a detailed study of the Lanczos potential in tetrad formalisms Elucidates the Lanczos potential for a large number of exact solutions of Einstein equations Discusses selected cosmological models by using the Lanczos potential
Autor*in
Zafar Ahsan
Themen in »The Potential of Fields in Einstein's Theory of Gravitation«
Tetrad Formalism Geroch-Held-Penrose formalism Newman-Penrose Formalism Lanczos potential Kerr black hole Reissner-Nordstrom metric
Stimmen zu »The Potential of Fields in Einstein's Theory of Gravitation«
“The book is definitely written in the style and notation familiar to the physicist community and might be useful for young physicist students who want to rapidly access a practical knowledge on the Lanczos potential method.” (Gabor Etesi, zbMATH 1434.83002, 2020)
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