Complex general relativity / by Giampiero Esposito.

Format:

Book

Author/Creator:

Esposito, Giampiero.

Series:

Fundamental theories of physics ; v. 69.

Fundamental theories of physics ; v. 69

Language:

English

Subjects (All):

General relativity (Physics).

Quantum gravity.

Supersymmetry.

Physical Description:

1 online resource (219 p.)

Edition:

1st ed. 2002.

Place of Publication:

Dordrecht ; Boston : Kluwer Academic Publishers, c1995.

Language Note:

English

Summary:

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.

Contents:

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.

Notes:

Description based upon print version of record.

Includes bibliographical references (p. 187-194) and index.

ISBN:

1-280-53714-0

9786610537143

0-306-47118-3

OCLC:

923696437