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The Potential of Fields in Einstein's Theory of Gravitation
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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
Links to Related Works
Subject References:
Classical and Quantum Gravitation, Relativity Theory
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Gravitation
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Mathematical Applications in the Physical Sciences
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Mathematical Physics
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Potential Theory
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Potential theory (Mathematics)
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Authors:
Ahsan, Zafar
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author
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Corporate Authors:
SpringerLink (Online service)
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Classification:
530.15
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530.15 (DDC 23)
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