Canonical Gravity and Applications: Cosmology, Black Holes, and Quantum Gravity

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Cambridge University Press, Dec 23, 2010 - Science
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Canonical methods are a powerful mathematical tool within the field of gravitational research, both theoretical and experimental, and have contributed to a number of recent developments in physics. Providing mathematical foundations as well as physical applications, this is the first systematic explanation of canonical methods in gravity. The book discusses the mathematical and geometrical notions underlying canonical tools, highlighting their applications in all aspects of gravitational research from advanced mathematical foundations to modern applications in cosmology and black hole physics. The main canonical formulations, including the Arnowitt-Deser-Misner (ADM) formalism and Ashtekar variables, are derived and discussed. Ideal for both graduate students and researchers, this book provides a link between standard introductions to general relativity and advanced expositions of black hole physics, theoretical cosmology or quantum gravity.
 

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Contents

1 Introduction
1
a prelude
4
3 Hamiltonian formulation of general relativity
17
4 Model systems and perturbations
113
5 Global and asymptotic properties
184
6 Quantum gravity
248
Appendix A Some mathematical methods
274
References
289
Index
300
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About the author (2010)

Martin Bojowald is an Associate Professor at the Institute for Gravitation and the Cosmos, Pennsylvania State University. He pioneered loop quantum cosmology, a field on which his research continues to focus.

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