Advanced General Relativity: Gravity Waves, Spinning Particles, and Black Holes
Claude Barrabès and Peter A. Hogan
Abstract
This book is aimed at students who have completed a final year undergraduate course on general relativity and supplemented it with additional techniques by individual study or in a taught MSc programme. The additional technical knowledge required involves the Cartan calculus, the tetrad formalism including aspects of the Newman–Penrose formalism, the Ehlers–Sachs theory of null geodesic congruences, and the Petrov classification of gravitational fields. Each chapter could be used as a basis for an advanced undergraduate or early postgraduate project. The topics covered fall under three general ... More
This book is aimed at students who have completed a final year undergraduate course on general relativity and supplemented it with additional techniques by individual study or in a taught MSc programme. The additional technical knowledge required involves the Cartan calculus, the tetrad formalism including aspects of the Newman–Penrose formalism, the Ehlers–Sachs theory of null geodesic congruences, and the Petrov classification of gravitational fields. Each chapter could be used as a basis for an advanced undergraduate or early postgraduate project. The topics covered fall under three general headings: Gravitational waves in vacuo and in a cosmological setting, equations of motion with particular emphasis on spinning particles, and black holes. These are not individual applications of the techniques mentioned above. The techniques are available for use in whole or in part (mainly in part) as each situation demands.
Keywords:
gravitational waves,
spinning particles,
black holes,
equations of motion,
general relativity,
Cartan calculus,
tetrad formalism,
Newman–Penrose formalism,
Ehlers–Sachs theory,
Petrov classification
Bibliographic Information
| Print publication date: 2013 |
Print ISBN-13: 9780199680696 |
| Published to Oxford Scholarship Online: September 2013 |
DOI:10.1093/acprof:oso/9780199680696.001.0001 |
Authors
Affiliations are at time of print publication.
Claude Barrabès, author
Laboratoire de Mathématiques et Physique Théorique, Université de Tours
Peter A. Hogan, author
School of Physics, University College Dublin
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