Includes bibliographical references and index. Machine generated contents note: 1. Introduction; 2. Isotropic cosmology: a prelude; 3. Hamiltonian formulation of general relativity; 4. Model systems and perturbations; 5. Global and asymptotic properties; 6. Quantum gravity; Appendix; References; Index.
Contents:
Machine generated contents note: 1. Introduction; 2. Isotropic cosmology: a prelude; 3. Hamiltonian formulation of general relativity; 4. Model systems and perturbations; 5. Global and asymptotic properties; 6. Quantum gravity; Appendix; References; Index.
Summary:
"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"-- Provided by publisher. "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"-- Provided by publisher.
This resource is supported by the Institute of Museum and Library Services under the provisions of the Library Services and Technology Act as administered by State Library of Iowa.