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Book synopsis

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.

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Complex General Relativity
• Author: G. Esposito
• Language: English
• Binding: Paperback
• Number of pages: 206
• EAN: 9789048145188
• ISBN: 904814518X
• ID: 01973496
• Publisher: Springer
• Weight: 349 g
• Dimensions: 235 × 155 × 13 mm
• Date of publishing: 08. December 2010

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