LEADER 02281aam a22002651i 4500 001 991004265227407536 005 20240314143836.0 008 230227t2019 si a frb 000 0 eng d 020 $a9789811389788 040 $aBibl. Dip.le Aggr. Matematica e Fisica - Sez. Fisica$beng 082 04$a530.11$223 084 $a53.1.5 084 $aLC QC173.6 100 1 $aAhsan, Zafar$0782110 245 14$aThe potential of fields in Einstein's Theory of gravitation /$cZafar Ahsan 260 $aSingapore :$bSpringer Nature,$cc2019 300 $axii, 125 p. :$bill. ;$c24 cm 504 $aIncludes bibliographical references 505 0 $aChapter 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 $aThis book presents a detailed study of the Lanczos potential in general relativity by using tetrad formalisms. It demonstrates that these formalisms offer some simplifications over the tensorial methods, and investigates a general approach to finding the Lanczos potential for algebraic space?time by translating all the tensorial relations concerning the Lanczos potential into the language of tetrad formalisms and using the Newman?Penrose and Geroch?Held?Penrose formalisms. In addition, the book obtains the Lanczos potential for perfect fluid space?time, and applies the results to cosmological models of the universe. In closing, it highlights other methods, apart from tetrad formalisms, for finding the Lanczos potential, as well as further applications of the Newman?Penrose formalism. Given its scope, the book will be of interest to pure mathematicians, theoretical physicists and cosmologists, and will provide common ground for communication among these scientific communities 650 4$aGeneral relativity (Physics) 650 4$aSpecial relativity (Physics) 912 $a991004265227407536 996 $aPotential of Fields in Einstein's Theory of Gravitation$91734563 997 $aUNISALENTO