Krasnov Formulations of General Relativity

Gravity, Spinors and Differential Forms
Erscheinungsjahr 2020
ISBN: 978-1-108-60034-7
Verlag: Cambridge University Press
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch

Reihe: Cambridge Monographs on Mathematical Physics

This monograph carefully documents the different formulations of Einstein's general theory of relativity, and gives valuable insight into the very nature of gravity. Cartan's geometry of fibre bundles and differential forms are placed at the forefront, and a detailed review of the relevant differential geometry is also 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, allowing many practical simplifications. In addition to the chiral gravitational perturbation theory 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. Joining the highly prestigious Cambridge Monographs in Mathematical Physics series, this book will interest graduate students and researchers in the fields of general relativity and gravitational physics.

Autoren/Hrsg.

Krasnov, Kirill

Krasnov, Kirill (University of Nottingham)

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Naturwissenschaften Physik Mechanik Gravitation
• Naturwissenschaften Astronomie Kosmologie, Urknalltheorie
• Naturwissenschaften Physik Quantenphysik Relativität, Gravitation

Inhaltsverzeichnis

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.

Über Autor(innen)

Krasnov, Kirill
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.