Canonical Gravity And Applications

Author : Martin Bojowald
Publisher : Cambridge University Press
ISBN 13 : 1139494139
Total Pages : 313 pages
Book Rating : 4.37/5 ( download)

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Download or read book Canonical Gravity and Applications written by Martin Bojowald and published by Cambridge University Press. This book was released on 2010-12-23 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Abhay Ashtekar
Publisher : World Scientific
ISBN 13 : 9814571091
Total Pages : 356 pages
Book Rating : 4.98/5 ( download)

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Download or read book Lectures On Non-perturbative Canonical Gravity written by Abhay Ashtekar and published by World Scientific. This book was released on 1991-07-03 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
ISBN 13 : 9783662139530
Total Pages : 372 pages
Book Rating : 4.37/5 ( download)

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Download or read book Canonical Gravity: From Classical to Quantum written by Jürgen Ehlers and published by Springer. This book was released on 2014-03-12 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: The search for a quantum gravity theory, a theory expected to combine the principles of general relativity and quantum theory, has led to some of the most deepest and most difficult conceptual and mathematical questions of modern physics. The present book, addressing these issues in the framework of recent versions of canonical quantization, is the first to present coherently the background for their understanding. Starting with an analysis of the structure of constrained systems and the problems of their quantization, it discusses the canonical formulation of classical relativity from different perspectives and leads to recent applications of canonical methods to create a quantum theory of gravity. The book aims to make accessible the most fundamental problems and to stimulate work in this field.

Author : Thomas Thiemann
Publisher : Cambridge University Press
ISBN 13 : 113946759X
Total Pages : 739 pages
Book Rating : 4.99/5 ( download)

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Download or read book Modern Canonical Quantum General Relativity written by Thomas Thiemann and published by Cambridge University Press. This book was released on 2008-11-13 with total page 739 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Jürgen Ehlers
Publisher : Springer
ISBN 13 :
Total Pages : 392 pages
Book Rating : 4.72/5 ( download)

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Download or read book Canonical Gravity written by Jürgen Ehlers and published by Springer. This book was released on 1994 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Jürgen Ehlers
Publisher : Springer
ISBN 13 : 9783540583394
Total Pages : 367 pages
Book Rating : 4.94/5 ( download)

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Download or read book Canonical Gravity written by Jürgen Ehlers and published by Springer. This book was released on 1994-01-01 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: The search for a quantum gravity theory, a theory expected to combine the principles of general relativity and quantum theory, has led to some of the most deepest and most difficult conceptual and mathematical questions of modern physics. The present book, addressing these issues in the framework of recent versions of canonical quantization, is the first to present coherently the background for their understanding. Starting with an analysis of the structure of constrained systems and the problems of their quantization, it discusses the canonical formulation of classical relativity from different perspectives and leads to recent applications of canonical methods to create a quantum theory of gravity. The book aims to make accessible the most fundamental problems and to stimulate work in this field.

Author : Steven Carlip
Publisher : Cambridge University Press
ISBN 13 : 9780521545884
Total Pages : 296 pages
Book Rating : 4.89/5 ( download)

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Download or read book Quantum Gravity in 2+1 Dimensions written by Steven Carlip and published by Cambridge University Press. This book was released on 2003-12-04 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first comprehensive survey of (2+1)-dimensional quantum gravity - for graduate students and researchers.

Author : Abhay Ashtekar
Publisher :
ISBN 13 :
Total Pages : 352 pages
Book Rating : 4.66/5 ( download)

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Download or read book New Perspectives in Canonical Gravity written by Abhay Ashtekar and published by . This book was released on 1988 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Claus Gerhardt
Publisher : Springer
ISBN 13 : 3319773712
Total Pages : 200 pages
Book Rating : 4.11/5 ( download)

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Download or read book The Quantization of Gravity written by Claus Gerhardt and published by Springer. This book was released on 2018-04-14 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: ​A unified quantum theory incorporating the four fundamental forces of nature is one of the major open problems in physics. The Standard Model combines electro-magnetism, the strong force and the weak force, but ignores gravity. The quantization of gravity is therefore a necessary first step to achieve a unified quantum theory. In this monograph a canonical quantization of gravity has been achieved by quantizing a geometric evolution equation resulting in a gravitational wave equation in a globally hyperbolic spacetime. Applying the technique of separation of variables we obtain eigenvalue problems for temporal and spatial self-adjoint operators where the temporal operator has a pure point spectrum with eigenvalues $\lambda_i$ and related eigenfunctions, while, for the spatial operator, it is possible to find corresponding eigendistributions for each of the eigenvalues $\lambda_i$, if the Cauchy hypersurface is asymptotically Euclidean or if the quantized spacetime is a black hole with a negative cosmological constant. The hyperbolic equation then has a sequence of smooth solutions which are products of temporal eigenfunctions and spatial eigendistributions. Due to this "spectral resolution" of the wave equation quantum statistics can also be applied to the quantized systems. These quantum statistical results could help to explain the nature of dark matter and dark energy.

Author : Bei-Lok B. Hu
Publisher : Cambridge University Press
ISBN 13 : 0521193575
Total Pages : 615 pages
Book Rating : 4.73/5 ( download)

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Download or read book Semiclassical and Stochastic Gravity written by Bei-Lok B. Hu and published by Cambridge University Press. This book was released on 2020-03-05 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: An overview of semi-classical gravity theory and stochastic gravity as theories of quantum gravity in curved space-time.