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The Potential of Fields in Einstein's Theory of Gravitation

Record Type:	Language materials, printed : Monograph/item
Title/Author:	The Potential of Fields in Einstein's Theory of Gravitation/ by Zafar Ahsan.
Author:	Ahsan, Zafar.
Description:	XII, 125 p. 1 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Mathematical physics. -
Online resource:	https://doi.org/10.1007/978-981-13-8976-4
ISBN:	9789811389764

The Potential of Fields in Einstein's Theory of Gravitation
Ahsan, Zafar.

The Potential of Fields in Einstein's Theory of Gravitation[electronic resource] /by Zafar Ahsan. - 1st ed. 2019. - XII, 125 p. 1 illus.online resource.

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.

ISBN: 9789811389764

Standard No.: 10.1007/978-981-13-8976-4doiSubjects--Topical Terms:

527831
Mathematical physics.

LC Class. No.: QA401-425

Dewey Class. No.: 530.15

The Potential of Fields in Einstein's Theory of Gravitation
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505 0 $a 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.
520 $a 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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