Complex General Relativity

By: Maria Rosaria D'Esposito

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Hardcover | 28 February 1995

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228 Pages

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26.04 x 17.78 x 2.54

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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.

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You Can Find This Book In

Non-Fiction Science Physics Relativity Physics Quantum Physics & Quantum Mechanics & Quantum Field Theory Mathematics Geometry Algebraic Geometry Classical Mathematics Gravity Differential & Riemannian Geometry Calculus & Mathematical Analysis

Differential Calculus & Equations Applied Physics Geophysics Applied Mathematics

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Published: 9th December 2010

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Preface
Spinor Form of General Relativity
Introduction 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-1/2 Potentials
Mathematical Foundations
Underlying Mathematical Structures
Problems for the Reader
Clifford Algebras
Rarita-Schwinger Equations
Fibre Bundles
Sheaf Theory
Bibliography
Subject Index
Table of Contents provided by Publisher. All Rights Reserved.

Complex General Relativity

At a Glance

Hardcover

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How to return your order

Defective items

You Can Find This Book In

Other Editions and Formats

Paperback

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