03472nam 2200661 a 450 991081686000332120200520144314.01-280-53714-097866105371430-306-47118-310.1007/0-306-47118-3(CKB)111056486601262(EBL)3035677(SSID)ssj0000127231(PQKBManifestationID)11133894(PQKBTitleCode)TC0000127231(PQKBWorkID)10048307(PQKB)10293047(DE-He213)978-0-306-47118-6(MiAaPQ)EBC3035677(Au-PeEL)EBL3035677(CaPaEBR)ebr10052992(CaONFJC)MIL53714(OCoLC)923696437(PPN)23793602X(EXLCZ)9911105648660126219941202d1995 uy 0engur|n|---|||||txtccrComplex general relativity /by Giampiero Esposito1st ed. 2002.Dordrecht ;Boston Kluwer Academic Publishersc19951 online resource (219 p.)Fundamental theories of physics ;v. 69Description based upon print version of record.0-7923-3340-3 Includes bibliographical references (p. 187-194) and index.Spinor form of General Relativity -- to Complex Space-Time -- Two-Component Spinor Calculus -- Conformal Gravity -- Holomorphic Ideas in General Relativity -- Twistor spaces -- Penrose Transform for Gravitation -- Torsion and Supersymmetry -- Complex Space-Times with Torsion -- Spin-1/2 Fields in Riemannian Geometries -- Spin-3/2 Potentials -- Mathematical Foundations -- Underlying Mathematical Structures.This book is written for theoretical and mathematical physicists and mat- maticians interested in recent developments in complex general relativity and their application to classical and quantum gravity. Calculations are presented by paying attention to those details normally omitted in research papers, for pedagogical r- sons. Familiarity with fibre-bundle theory is certainly helpful, but in many cases I only rely on two-spinor calculus and conformally invariant concepts in gravitational physics. The key concepts the book is devoted to are complex manifolds, spinor techniques, conformal gravity, ?-planes, ?-surfaces, Penrose transform, complex 3 1 – – space-time models with non-vanishing torsion, spin- fields and spin- potentials. 2 2 Problems have been inserted at the end, to help the reader to check his und- standing of these topics. Thus, I can find at least four reasons for writing yet another book on spinor and twistor methods in general relativity: (i) to write a textbook useful to - ginning graduate students and research workers, where two-component spinor c- culus is the unifying mathematical language.Fundamental theories of physics ;v. 69.General relativity (Physics)Quantum gravitySupersymmetryGeneral relativity (Physics)Quantum gravity.Supersymmetry.530.1/1Esposito Giampiero44196MiAaPQMiAaPQMiAaPQBOOK9910816860003321Complex General Relativity376171UNINA