Canonical Gravity and Applications

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Publisher : Cambridge University Press
ISBN 13 : 1139494139
Total Pages : 313 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Canonical Gravity and Applications by : Martin Bojowald

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.

Lectures On Non-perturbative Canonical Gravity

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Publisher : World Scientific
ISBN 13 : 9814571091
Total Pages : 356 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Lectures On Non-perturbative Canonical Gravity by : Abhay Ashtekar

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.

Modern Canonical Quantum General Relativity

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Publisher : Cambridge University Press
ISBN 13 : 113946759X
Total Pages : 739 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Modern Canonical Quantum General Relativity by : Thomas Thiemann

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.

Canonical Gravity: From Classical to Quantum

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Publisher : Springer
ISBN 13 : 9783662139530
Total Pages : 372 pages
Book Rating : 4.1/5 (395 download)

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Book Synopsis Canonical Gravity: From Classical to Quantum by : Jürgen Ehlers

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.

Canonical Gravity

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Author :
Publisher : Springer
ISBN 13 :
Total Pages : 392 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Canonical Gravity by : Jürgen Ehlers

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:

Quantum Gravity in 2+1 Dimensions

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Publisher : Cambridge University Press
ISBN 13 : 9780521545884
Total Pages : 296 pages
Book Rating : 4.5/5 (458 download)

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Book Synopsis Quantum Gravity in 2+1 Dimensions by : Steven Carlip

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.

The Quantization of Gravity

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Publisher : Springer
ISBN 13 : 3319773712
Total Pages : 200 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis The Quantization of Gravity by : Claus Gerhardt

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.

Canonical Gravity

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Publisher : Springer
ISBN 13 : 9783540583394
Total Pages : 367 pages
Book Rating : 4.5/5 (833 download)

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Book Synopsis Canonical Gravity by : Jürgen Ehlers

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.

New Perspectives in Canonical Gravity

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Publisher :
ISBN 13 :
Total Pages : 352 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis New Perspectives in Canonical Gravity by : Abhay Ashtekar

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:

Quantum Gravity

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Publisher : Oxford University Press
ISBN 13 : 0199585202
Total Pages : 406 pages
Book Rating : 4.1/5 (995 download)

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Book Synopsis Quantum Gravity by : Claus Kiefer

Download or read book Quantum Gravity written by Claus Kiefer and published by Oxford University Press. This book was released on 2012-04-05 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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".

A First Course in Loop Quantum Gravity

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Publisher : OUP Oxford
ISBN 13 : 0191003239
Total Pages : 192 pages
Book Rating : 4.1/5 (91 download)

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Book Synopsis A First Course in Loop Quantum Gravity by : Rodolfo Gambini

Download or read book A First Course in Loop Quantum Gravity written by Rodolfo Gambini and published by OUP Oxford. This book was released on 2011-09-22 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Covariant Loop Quantum Gravity

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Publisher : Cambridge University Press
ISBN 13 : 1107069629
Total Pages : 267 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Covariant Loop Quantum Gravity by : Carlo Rovelli

Download or read book Covariant Loop Quantum Gravity written by Carlo Rovelli and published by Cambridge University Press. This book was released on 2015 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensible introduction to the most fascinating research in theoretical physics: advanced quantum gravity. Ideal for researchers and graduate students.

Semiclassical and Stochastic Gravity

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Publisher : Cambridge University Press
ISBN 13 : 0521193575
Total Pages : 615 pages
Book Rating : 4.5/5 (211 download)

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Book Synopsis Semiclassical and Stochastic Gravity by : Bei-Lok B. Hu

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.

Theoretical and Observational Cosmology

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Publisher : Springer Science & Business Media
ISBN 13 : 9780792359456
Total Pages : 428 pages
Book Rating : 4.3/5 (594 download)

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Book Synopsis Theoretical and Observational Cosmology by : Marc Lachièze-Rey

Download or read book Theoretical and Observational Cosmology written by Marc Lachièze-Rey and published by Springer Science & Business Media. This book was released on 1999-09-30 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the NATO Advanced Study Institute, held in Cargèse, France from 17-29 August 1998

Effective Action in Quantum Gravity

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Publisher : Routledge
ISBN 13 : 1351453823
Total Pages : 239 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Effective Action in Quantum Gravity by : I.L Buchbinder

Download or read book Effective Action in Quantum Gravity written by I.L Buchbinder and published by Routledge. This book was released on 2017-09-29 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: In part one of Effective Action in Quantum Gravity, the book describes the principles of quantum field theory and the significance of and theory behind effective action. Part two deals with quantum field theory in curved space-time and the effective action. These two parts provide the tools for understanding the rest of the book, which is devoted to selected problems of quantum gravity where the effective action plays a major role. The book assumes only a basic understanding of quantum field theory and general relativity and will be of interest to postgraduate students and researchers in theoretical high-energy physics and gravitational theory.

Canonical Quantum Gravity

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Publisher : World Scientific
ISBN 13 : 9814556661
Total Pages : 324 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Canonical Quantum Gravity by : Francesco Cianfrani

Download or read book Canonical Quantum Gravity written by Francesco Cianfrani and published by World Scientific. This book was released on 2014-05-21 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to present a pedagogical and self-consistent treatment of the canonical approach to Quantum Gravity, starting from its original formulation to the most recent developments in the field. We start with an innovative and enlightening introduction to the formalism and concepts on which General Relativity has been built, giving all the information necessary in the later analysis. A brief sketch of the Standard Cosmological Model describing the Universe evolution is also given alongside the analysis of the inflationary mechanism. After deepening the fundamental properties of constrained dynamic systems, the Lagrangian approach to the Einsteinian Theory is presented in some detail, underlining the parallelism with non-Abelian gauge theories. Then, the basic concepts of the canonical approach to Quantum Mechanics are provided, focusing on all those formulations which are relevant for the Canonical Quantum Gravity problem. The Hamiltonian formulation of General Relativity and its constrained structure is then analyzed by comparing different formulations. The resulting quantum dynamics, described by the Wheeler–DeWitt equation, is fully discussed in order to outline its merits and limits. Afterwards, the reformulation of Canonical Quantum Gravity in terms of the Ashtekar–Barbero–Immirzi variables is faced by a detailed discussion of the resulting Loop Quantum Gravity Theory. Finally, we provide a consistent picture of canonical Quantum Cosmology by facing the main features of the Wheeler–DeWitt equation for the homogeneous Bianchi models and then by a detailed treatment of Loop Quantum Cosmology, including very recent developments. Contents:Introduction to General RelativityElements of CosmologyConstrained Hamiltonian SystemsLagrangian FormulationsQuantization MethodsQuantum GeometrodynamicsGravity as a Gauge TheoryLoop Quantum GravityQuantum Cosmology Readership: Researchers in theoretical physics, quantum physics, general relativity and astrophysics. Keywords:Canonical Quantum Gravity;Quantum Gravity;Loop Quantum Gravity Theory;General RelativityKey Features:An independent and sound analysis touching many crucial points in the attempt toward a consistent Canonical Quantum Gravity theoryA pedagogical and exhaustive review of fundamental concepts of Quantum Mechanics and General RelativityA solid introduction to Hamiltonian constrained systems with a detailed analysis of the notion of canonical transformation in this class of systems with some concrete examples giving useful insightA self-consistent derivation of the Loop Quantum Gravity Approach, outlining the main progresses and the shortcomings of this theory

Relativity and Gravitation

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Publisher : Springer
ISBN 13 : 3319067613
Total Pages : 583 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Relativity and Gravitation by : Jiří Bičák

Download or read book Relativity and Gravitation written by Jiří Bičák and published by Springer. This book was released on 2014-06-06 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: In early April 1911 Albert Einstein arrived in Prague to become full professor of theoretical physics at the German part of Charles University. It was there, for the first time, that he concentrated primarily on the problem of gravitation. Before he left Prague in July 1912 he had submitted the paper “Relativität und Gravitation: Erwiderung auf eine Bemerkung von M. Abraham” in which he remarkably anticipated what a future theory of gravity should look like. At the occasion of the Einstein-in-Prague centenary an international meeting was organized under a title inspired by Einstein's last paper from the Prague period: "Relativity and Gravitation, 100 Years after Einstein in Prague". The main topics of the conference included: classical relativity, numerical relativity, relativistic astrophysics and cosmology, quantum gravity, experimental aspects of gravitation and conceptual and historical issues. The conference attracted over 200 scientists from 31 countries, among them a number of leading experts in the field of general relativity and its applications. This volume includes abstracts of the plenary talks and full texts of contributed talks and articles based on the posters presented at the conference. These describe primarily original results of the authors. Full texts of the plenary talks are included in the volume "General Relativity, Cosmology and Astrophysics--Perspectives 100 Years after Einstein in Prague", eds. J. Bičák and T. Ledvinka, published also by Springer Verlag.