Complex General Relativity (Fundamental Theories of Physics, #69)

by Giampiero Esposito

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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.
  • ISBN10 6610537143
  • ISBN13 9786610537143
  • Publish Date 1 January 2002 (first published 28 February 1995)
  • Publish Status Active
  • Out of Print 9 February 2012
  • Publish Country US
  • Imprint Springer
  • Format eBook
  • Pages 215
  • Language English