Complex General Relativity

By:

Giampiero Esposito

Format:

Paperback / softback

Series:

Fundamental Theories of Physics

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Description

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.

Release date Australia

December 9th, 2010

Author

Giampiero Esposito

Audience

Professional & Vocational

Illustrations

XII, 206 p.

Pages

206

Series

Fundamental Theories of Physics

Dimensions

155x235x11

ISBN-13

9789048145188

Product ID

8940374

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