Formulations of General Relativity
Gravity, Spinors and Differential Forms
Seiten
2020
Cambridge University Press (Verlag)
978-1-108-48164-9 (ISBN)
Cambridge University Press (Verlag)
978-1-108-48164-9 (ISBN)
Carefully documenting the different formulations of general relativity, the author reveals valuable insight into the nature of the gravitational force and its interaction with matter. This book will interest graduate students and researchers in the fields of general relativity, gravitational physics and differential geometry.
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.
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.
Kirill Krasnov is Professor of Mathematical Physics at the University of Nottingham. Since receiving his Ph.D. from Pennsylvania State University, he has worked at the University of California, Santa Barbara, and the Max Planck Institute for Gravitational Physics in Potsdam.
Preface; Introduction; 1. Aspects of differential geometry; 2. Metric and related formulations; 3. Cartan's tetrad formulation; 4. General relativity in 2+1 dimensions; 5. The 'chiral' formulation of general relativity; 6. Chiral pure connection formulation; 7. Deformations of general relativity; 8. Perturbative descriptions of gravity; 9. Higher-dimensional descriptions; 10. Concluding remarks; References; Index.
| Erscheinungsdatum | 01.10.2020 |
|---|---|
| Reihe/Serie | Cambridge Monographs on Mathematical Physics |
| Zusatzinfo | Worked examples or Exercises; 1 Tables, black and white; 2 Halftones, black and white; 3 Line drawings, black and white |
| Verlagsort | Cambridge |
| Sprache | englisch |
| Maße | 250 x 173 mm |
| Gewicht | 820 g |
| Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Astronomie / Astrophysik |
| Naturwissenschaften ► Physik / Astronomie ► Relativitätstheorie | |
| ISBN-10 | 1-108-48164-7 / 1108481647 |
| ISBN-13 | 978-1-108-48164-9 / 9781108481649 |
| Zustand | Neuware |
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