Recent developments in general relativity, Genoa 2000

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Peter A. Clarkson, Frank W. Nijhoff

There has in recent years been a remarkable growth of interest in the area of discrete integrable systems. Much progress has been made by applying symmetry groups to the study of differential equations, and connections have been made to other topics such as numerical methods, cellular automata and mathematical physics. This volume comprises state of the art articles from almost all the leading workers in this important and rapidly developing area, making it a necessary resource for all researchers interested in discrete integrable systems or related subjects.

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Dany Page, Jorge G. Hirsch (eds

The enormous advances in observational techniques over the last two decades has produced a wealth of data and unexpected discoveries which have helped to reshape astrophysics as a field with well-formulated theories and sophisticated numerical calculations. In nuclear particle physics, plasma physics, as well as in general relativity, the Universe has become a laboratory for cutting-edge research. The courses collected in the book are intended to provide students with this insight, giving a general background on each topic such as cosmic rays, nuclear and neutrino astrophysics, solar physics and strong fields, as well as a presentation of the current research and open problems. The book is aimed at graduate students in physics and astrophysics, as well as researchers, bridging a gap between the specialized reviews and the comprehensive books.

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Martin Bojowald

"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"-- "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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Aron M. Bernstein, Barry R. Holstein, eds

Chiral dynamics provides a rigorous and model-independent methodology for making QCD predictions at the confinement scale. This helps particularly in the testing of the standard model. The workshop reported here was focused on theoretical predictions and the measurements of physical processes, analyzing carefully the phenomenology needed to bridge the gap between the two. Besides the lectures, this volume also contains summaries of the working groups on Â-Â-scattering, ÂN-interaction, photo/electro-pion-production, and on chiral anomaly. This book is a thorough review of the state of the art and it addresses researchers as well as graduate students.