Formulations of General Relativity
eBook - PDF

Formulations of General Relativity

Gravity, Spinors and Differential Forms

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Formulations of General Relativity

Gravity, Spinors and Differential Forms

About this book

This monograph describes the different formulations of Einstein's General Theory of Relativity. Unlike traditional treatments, Cartan's geometry of fibre bundles and differential forms is placed at the forefront, and a detailed review of the relevant differential geometry is presented. Particular emphasis is given to general relativity in 4D space-time, in which the concepts of chirality and self-duality begin to play a key role. Associated chiral formulations are catalogued, and shown to lead to many practical simplifications. The book develops the chiral gravitational perturbation theory, in which the spinor formalism plays a central role. The book also presents in detail the twistor description of gravity, as well as its generalisation based on geometry of 3-forms in seven dimensions. Giving valuable insight into the very nature of gravity, this book joins our highly prestigious Cambridge Monographs in Mathematical Physics series. It will interest graduate students and researchers in the fields of theoretical physics and differential geometry.

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Yes, you can access Formulations of General Relativity by Kirill Krasnov in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Cosmology. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. Half-title
  3. Series information
  4. Title page
  5. Copyright information
  6. Dedication
  7. Contents
  8. Preface
  9. Introduction
  10. 1 Aspects of Differential Geometry
  11. 2 Metric and Related Formulations
  12. 3 Cartan's Tetrad Formulation
  13. 4 General Relativity in 2+1 Dimensions
  14. 5 The `Chiral' Formulation of General Relativity
  15. 6 Chiral Pure Connection Formulation
  16. 7 Deformations of General Relativity
  17. 8 Perturbative Descriptions of Gravity
  18. 9 Higher-Dimensional Descriptions
  19. 10 Concluding Remarks
  20. References
  21. Index