[PDF] Canonical Gravity And Applications eBook

Author : Martin Bojowald
Publisher : Cambridge University Press
Page : 313 pages
File Size : 25,14 MB
Release : 2010-12-23
Category : Science
ISBN : 1139494139

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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.

Author : Abhay Ashtekar
Publisher : World Scientific
Page : 356 pages
File Size : 42,81 MB
Release : 1991-07-03
Category : Science
ISBN : 9814571091

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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 : Thomas Thiemann
Publisher : Cambridge University Press
Page : 739 pages
File Size : 41,42 MB
Release : 2008-11-13
Category : Science
ISBN : 113946759X

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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
Page : 372 pages
File Size : 48,99 MB
Release : 2014-03-12
Category : Science
ISBN : 9783662139530

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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
Page : 296 pages
File Size : 45,45 MB
Release : 2003-12-04
Category : Science
ISBN : 9780521545884

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The first comprehensive survey of (2+1)-dimensional quantum gravity - for graduate students and researchers.

Author : Claus Kiefer
Publisher : Oxford University Press
Page : 406 pages
File Size : 18,39 MB
Release : 2012-04-05
Category : Mathematics
ISBN : 0199585202

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Quantum theory and Einstein's theory of relativity are at the centre of modern theoretical physics, yet, the consistent unification of both theories is still elusive. This book offers an up-to-date introduction into the attempts to construct a unified theory of "quantum gravity".

Author : Rodolfo Gambini
Publisher : OUP Oxford
Page : 192 pages
File Size : 34,44 MB
Release : 2011-09-22
Category : Science
ISBN : 0191003239

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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 : Jürgen Ehlers
Publisher : Springer
Page : 367 pages
File Size : 47,46 MB
Release : 1994-01-01
Category : Electronic books
ISBN : 9783540583394

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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 : Gianluca Calcagni
Publisher : Springer
Page : 854 pages
File Size : 29,55 MB
Release : 2017-01-06
Category : Science
ISBN : 3319411276

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This comprehensive textbook is devoted to classical and quantum cosmology, with particular emphasis on modern approaches to quantum gravity and string theory and on their observational imprint. It covers major challenges in theoretical physics such as the big bang and the cosmological constant problem. An extensive review of standard cosmology, the cosmic microwave background, inflation and dark energy sets the scene for the phenomenological application of all the main quantum-gravity and string-theory models of cosmology. Born of the author's teaching experience and commitment to bridging the gap between cosmologists and theoreticians working beyond the established laws of particle physics and general relativity, this is a unique text where quantum-gravity approaches and string theory are treated on an equal footing. As well as introducing cosmology to undergraduate and graduate students with its pedagogical presentation and the help of 45 solved exercises, this book, which includes an ambitious bibliography of about 3500 items, will serve as a valuable reference for lecturers and researchers.