Complex General Relativity

  • Giampiero Esposito

Part of the Fundamental Theories of Physics book series (FTPH, volume 69)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Spinor form of General Relativity

    1. Front Matter
      Pages 1-1
    2. Pages 30-41
  3. Holomorphic Ideas in General Relativity

    1. Front Matter
      Pages 42-42
    2. Pages 43-60
  4. Torsion and Supersymmetry

    1. Front Matter
      Pages 78-78
    2. Pages 111-135
  5. Mathematical Foundations

    1. Front Matter
      Pages 136-136
  6. Back Matter
    Pages 169-205

About this book


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.


Boundary value problem Gravity Minkowski space Potential RMS Relativity general relativity

Authors and affiliations

  • Giampiero Esposito
    • 1
  1. 1.National Institute for Nuclear PhysicsNaplesItaly

Bibliographic information