02281aam a22002651i 450099100426522740753620240314143836.0230227t2019 si a frb 000 0 eng d9789811389788Bibl. Dip.le Aggr. Matematica e Fisica - Sez. Fisicaeng530.112353.1.5LC QC173.6Ahsan, Zafar782110The potential of fields in Einstein's Theory of gravitation /Zafar AhsanSingapore :Springer Nature,c2019xii, 125 p. :ill. ;24 cmIncludes bibliographical referencesChapter 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 FormulationThis 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 communitiesGeneral relativity (Physics)Special relativity (Physics)991004265227407536Potential of Fields in Einstein's Theory of Gravitation1734563UNISALENTO