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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.
Published:	Singapore :Springer Singapore : : 2019.,
Description:	xii, 125 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	General relativity (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. - Singapore :Springer Singapore :2019. - xii, 125 p. :ill., digital ;24 cm.

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:

672665
General relativity (Physics)

LC Class. No.: QC173.6 / .A373 2019

Dewey Class. No.: 530.11

The potential of fields in Einstein's theory of gravitation
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245 1 4 $a The potential of fields in Einstein's theory of gravitation $h [electronic resource] / $c by Zafar Ahsan.
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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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650 0 $a Special relativity (Physics) $3 577581
650 1 4 $a Mathematical Physics. $3 786661
650 2 4 $a Potential Theory. $3 672266
650 2 4 $a Mathematical Applications in the Physical Sciences. $3 786649
650 2 4 $a Classical and Quantum Gravitation, Relativity Theory. $3 769093
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856 4 0 $u https://doi.org/10.1007/978-981-13-8976-4
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