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General Relativity
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Complex
General Relativity
by
Giampiero Esposito
National Institute for Nuclear Physics,
Naples, Italy
KLUWER ACADEMIC PUBLISHERS
NEW YORK / BOSTON / DORDRECHT/ LONDON / MOSCOW
eBook ISBN: 0-306-47118-3
Print ISBN 0-792-33340-3
©2002 Kluwer Academic Publishers
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Fundamental Theories of Physics
An International Book Series on The Fundamental Theories of Physics:
Their Clarification, Development and Application
Editor: ALWYN VAN DER MERWE
University of Denver, .
Editorial Advisory Board:
ASIM BARUT, University of Colorado, .
BRIAN D. JOSEPHSON, University of Cambridge, .
CLIVE KILMISTER, University of London, .
GÜNTER LUDWIG, Philipps-Universität, Marburg, Germany
NATHAN ROSEN, Israel Institute of Technology, Israel
MENDEL SACHS, State University of New York at Buffalo, .
ABDUS SALAM, International Centre for Theoretical Physics, Trieste, Italy
HANS-JÜRGEN TREDER, Zentralinstitut für Astrophysik der Akademie der
Wissenschaften, Germany
Volume 69
a Maria Gabriella
TABLE OF CONTENTS
P R E F A C E .........................................xi
PART I: SPINOR FORM OF GENERAL RELATIVITY. . . . . . . . . . . . . . . 1
1. INTRODUCTION PLEX SPACE-TIME..............2
From Lorentzian Space-Time plex Space-Time ................3
Manifolds ............................... 7
An Outline of This Work ..........................11
2. PONENT SPINOR CALCULUS...............17
ponent Spinor Calculus ...........................18
Curvature in General Relativity ...................24
Petrov Classificati