LEADER 03484nam 22005295 450 001 9910350245503321 005 20200701094800.0 010 $a981-13-8976-4 024 7 $a10.1007/978-981-13-8976-4 035 $a(CKB)4100000008876944 035 $a(MiAaPQ)EBC5831104 035 $a(DE-He213)978-981-13-8976-4 035 $a(PPN)238486966 035 $a(EXLCZ)994100000008876944 100 $a20190717d2019 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 14$aThe Potential of Fields in Einstein's Theory of Gravitation /$fby Zafar Ahsan 205 $a1st ed. 2019. 210 1$aSingapore :$cSpringer Singapore :$cImprint: Springer,$d2019. 215 $a1 online resource (133 pages) 311 $a981-13-8975-6 327 $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. 330 $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. 606 $aMathematical physics 606 $aPotential theory (Mathematics) 606 $aGravitation 606 $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000 606 $aPotential Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12163 606 $aMathematical Applications in the Physical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13120 606 $aClassical and Quantum Gravitation, Relativity Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P19070 615 0$aMathematical physics. 615 0$aPotential theory (Mathematics) 615 0$aGravitation. 615 14$aMathematical Physics. 615 24$aPotential Theory. 615 24$aMathematical Applications in the Physical Sciences. 615 24$aClassical and Quantum Gravitation, Relativity Theory. 676 $a530.11 700 $aAhsan$b Zafar$4aut$4http://id.loc.gov/vocabulary/relators/aut$0782110 906 $aBOOK 912 $a9910350245503321 996 $aPotential of Fields in Einstein's Theory of Gravitation$91734563 997 $aUNINA