Complex general relativity /

• Main Author: Esposito, Giampiero (συγγραφέας)
• Format: eBook
• Language: English
• Published: New York : Kluwer Academic Publishers, c2002.
• Series: Fundamentals theories of physics ; v. 69
• Subjects: Γενική σχετικότητα (Φυσική); Κβαντική βαρύτητα; Υπερσυμμετρία; Ηλεκτρονικά βιβλία
• Physical Description: 1 ηλεκτρονική πηγή (xii, 201 σ).
• Bibliography: Περιλαμβάνει βιβλιογραφικές παραπομπές (σ. 187-194) και ευρετήριο.
• ISBN: 0306471183; 9780306471186

This volume introduces the application of two-component spinor calculus and fibre-bundle theory to complex general relativity. A review of basic and important topics is presented, such as two-component spinor calculus, conformal gravity, twistor spaces for Minkowski space-time and for curved space-time, Penrose transform for gravitation, the global theory of the Dirac operator in Riemannian four-manifolds, various definitions of twistors in curved space-time and the recent attempt by Penrose to define twistors as spin-3/2 charges in Ricci-flat space-time. Original results include some geometrical properties of complex space-times with nonvanishing torsion, the Dirac operator with locally supersymmetric boundary conditions, the application of spin-lowering and spin-raising operators to elliptic boundary value problems, and the Dirac and Rarita--Schwinger forms of spin-3/2 potentials applied in real Riemannian four-manifolds with boundary. This book is written for students and research workers interested in classical gravity, quantum gravity and geometrical methods in field theory. It can also be recommended as a supplementary graduate textbook.