03484nam 22005295 450 991035024550332120200701094800.0981-13-8976-410.1007/978-981-13-8976-4(CKB)4100000008876944(MiAaPQ)EBC5831104(DE-He213)978-981-13-8976-4(PPN)238486966(EXLCZ)99410000000887694420190717d2019 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierThe Potential of Fields in Einstein's Theory of Gravitation /by Zafar Ahsan1st ed. 2019.Singapore :Springer Singapore :Imprint: Springer,2019.1 online resource (133 pages)981-13-8975-6 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.Mathematical physicsPotential theory (Mathematics)GravitationMathematical Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/M35000Potential Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M12163Mathematical Applications in the Physical Scienceshttps://scigraph.springernature.com/ontologies/product-market-codes/M13120Classical and Quantum Gravitation, Relativity Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/P19070Mathematical physics.Potential theory (Mathematics)Gravitation.Mathematical Physics.Potential Theory.Mathematical Applications in the Physical Sciences.Classical and Quantum Gravitation, Relativity Theory.530.11Ahsan Zafarauthttp://id.loc.gov/vocabulary/relators/aut782110BOOK9910350245503321Potential of Fields in Einstein's Theory of Gravitation1734563UNINA