Canonical Gravity And Applications
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Author | : Martin Bojowald |
Publisher | : Cambridge University Press |
Total Pages | : 313 |
Release | : 2010-12-23 |
Genre | : Science |
ISBN | : 1139494139 |
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.
Author | : Thomas Thiemann |
Publisher | : Cambridge University Press |
Total Pages | : 739 |
Release | : 2008-11-13 |
Genre | : Science |
ISBN | : 113946759X |
This book provides a complete treatise of the canonical quantisation of general relativity and the loop quantum gravity theory. Mathematical concepts are provided, so it can be read by graduate students with a basic knowledge of quantum field theory or general relativity.
Author | : Abhay Ashtekar |
Publisher | : World Scientific |
Total Pages | : 356 |
Release | : 1991 |
Genre | : Science |
ISBN | : 9810205740 |
Notes prepared in Collaboration with Ranjeet S Tate It is now generally recognized that perturbative field theoretical methods that have been highly successful in the quantum description of non-gravitational interactions cannot be used as a means of constructing a quantum theory of gravity. The primary aim of the book is to present an up- to-date account of a non-perturbative, canonical quantization program for gravity. Many of the technical results obtained in the process are of interest also to differential geometry, classical general relativity and QCD. The program as a whole was highlighted in virtually every major conference in gravitational physics over the past three years.
Author | : Jürgen Ehlers |
Publisher | : Springer |
Total Pages | : 392 |
Release | : 1994 |
Genre | : Science |
ISBN | : |
Author | : Steven Carlip |
Publisher | : Cambridge University Press |
Total Pages | : 296 |
Release | : 2003-12-04 |
Genre | : Science |
ISBN | : 9780521545884 |
The first comprehensive survey of (2+1)-dimensional quantum gravity - for graduate students and researchers.
Author | : Bei-Lok B. Hu |
Publisher | : Cambridge University Press |
Total Pages | : 615 |
Release | : 2020-03-05 |
Genre | : Science |
ISBN | : 0521193575 |
An overview of semi-classical gravity theory and stochastic gravity as theories of quantum gravity in curved space-time.
Author | : Rodolfo Gambini |
Publisher | : OUP Oxford |
Total Pages | : 192 |
Release | : 2011-09-22 |
Genre | : Science |
ISBN | : 0191003239 |
This book provides an accessible introduction to loop quantum gravity and some of its applications, at a level suitable for undergraduate students and others with only a minimal knowledge of college level physics. In particular it is not assumed that the reader is familiar with general relativity and only minimally familiar with quantum mechanics and Hamiltonian mechanics. Most chapters end with problems that elaborate on the text, and aid learning. Applications such as loop quantum cosmology, black hole entropy and spin foams are briefly covered. The text is ideally suited for an undergraduate course in the senior year of a physics major. It can also be used to introduce undergraduates to general relativity and quantum field theory as part of a 'special topics' type of course.
Author | : Giampiero Esposito |
Publisher | : Springer Science & Business Media |
Total Pages | : 364 |
Release | : 1994-01-28 |
Genre | : Computers |
ISBN | : 3540575219 |
The first aim of this book is to describe recent work on the problem of boundary conditions in one-loop quantum cosmology. The motivation is to understand whether supersymmetric theories are one-loop finite in the presence of boundaries. The second aim of the book is to present a recent, entirely new study of the singularity problem for space-times with torsion. The book is written in self-contained form. In many cases problems have been initially formulated in the simplest possible way, and finally presented and solved at increasing levels of complexity. Readers will find here a detailed and updated study of quantum cosmology, its motivation, and application to perturbative quantum gravity. Moreover, this is the first book which enables the reader to learn techniques used in classical gravity and quantum cosmology. The second edition adds new material to both the text and the bibliography.
Author | : Martin Ammon |
Publisher | : Cambridge University Press |
Total Pages | : 549 |
Release | : 2015-04-09 |
Genre | : Juvenile Nonfiction |
ISBN | : 1107010349 |
The first textbook on this important topic, for graduate students and researchers in particle and condensed matter physics.
Author | : Marc Lachièze-Rey |
Publisher | : Springer Science & Business Media |
Total Pages | : 428 |
Release | : 1999-09-30 |
Genre | : Science |
ISBN | : 9780792359456 |
Proceedings of the NATO Advanced Study Institute, held in Cargèse, France from 17-29 August 1998