Complex General Relativity

Giampiero Esposito (Autor)

Buch | Softcover

206 Seiten

2010
Springer (Verlag)
978-90-481-4518-8 (ISBN)

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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.

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.

Erscheint lt. Verlag	9.12.2010
Reihe/Serie	Fundamental Theories of Physics ; 69
Zusatzinfo	XII, 206 p.
Verlagsort	Dordrecht
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
	Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika
	Naturwissenschaften ► Physik / Astronomie ► Relativitätstheorie
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
ISBN-10	90-481-4518-X / 904814518X
ISBN-13	978-90-481-4518-8 / 9789048145188
Zustand	Neuware