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The Potential of Fields in Einstein's Theory of Gravitation / by Zafar Ahsan

Edition 1st ed. 2019.
Publisher (Singapore : Springer Nature Singapore : Imprint: Springer)
Year 2019
Size XII, 125 p. 1 illus : online resource
Authors *Ahsan, Zafar author
SpringerLink (Online service)
Subjects LCSH:Mathematical physics
LCSH:Potential theory (Mathematics)
LCSH:Gravitation
FREE:Mathematical Physics
FREE:Potential Theory
FREE:Classical and Quantum Gravity
Notes 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
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
HTTP:URL=https://doi.org/10.1007/978-981-13-8976-4
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E-Book オンライン 電子ブック

Springer eBooks 9789811389764
電子リソース
EB00196573

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Material Type E-Book
Classification LCC:QC19.2-20.85
DC23:530.15
ID 4000121689
ISBN 9789811389764

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