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The Potential of Fields in Einstein's Theory of Gravitation

The Potential of Fields in Einstein's Theory of Gravitation
Catalogue Information
Field name Details
Dewey Class 530.15
Title The Potential of Fields in Einstein's Theory of Gravitation ([EBook] /) / by Zafar Ahsan.
Author Ahsan, Zafar
Other name(s) SpringerLink (Online service)
Edition statement 1st ed. 2019.
Publication Singapore : : Springer Singapore : : Imprint: Springer, , 2019.
Physical Details XII, 125 p. 1 illus. : online resource.
ISBN 9789811389764
Summary Note 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.:
Contents note Chapter 1. The Tetrad Formalism -- Chapter 2. The Newman-Penrose Formalism -- Chapter 3. The Geroch-Held-Penrose formalism -- Chapter 4. Lanczos potential and tetrad formalism -- Chapter 5. Lanczos potential for algebraically special spacetimes -- Chapter 6. Lanczos potential and perfect fluid spacetimes -- Chapter 7. Lanczos potential for the spacetime solutions -- Chapter 8. Applications of Napier Penrose Formulation.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site https://doi.org/10.1007/978-981-13-8976-4
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