New Perspectives in Canonical Gravity

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ISBN 13 : 9780317692808
Total Pages : pages
Book Rating : 4.6/5 (928 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 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

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.

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:

Lectures on Non-perturbative Canonical Gravity

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Author :
Publisher : World Scientific
ISBN 13 : 9810205740
Total Pages : 356 pages
Book Rating : 4.8/5 (12 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 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.

Pushing Gravity

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Author :
Publisher : Apeiron
ISBN 13 :
Total Pages : 332 pages
Book Rating : 4.3/5 ( download)

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Book Synopsis Pushing Gravity by : Matthew R. Edwards

Download or read book Pushing Gravity written by Matthew R. Edwards and published by Apeiron. This book was released on 2002 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

Geometrodynamics of Gauge Fields

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Publisher : Springer
ISBN 13 : 3319297341
Total Pages : 377 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Geometrodynamics of Gauge Fields by : Eckehard W. Mielke

Download or read book Geometrodynamics of Gauge Fields written by Eckehard W. Mielke and published by Springer. This book was released on 2017-01-22 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph aims to provide a unified, geometrical foundation of gauge theories of elementary particle physics. The underlying geometrical structure is unfolded in a coordinate-free manner via the modern mathematical notions of fibre bundles and exterior forms. Topics such as the dynamics of Yang-Mills theories, instanton solutions and topological invariants are included. By transferring these concepts to local space-time symmetries, generalizations of Einstein's theory of gravity arise in a Riemann-Cartan space with curvature and torsion. It provides the framework in which the (broken) Poincaré gauge theory, the Rainich geometrization of the Einstein-Maxwell system, and higher-dimensional, non-abelian Kaluza-Klein theories are developed. Since the discovery of the Higgs boson, concepts of spontaneous symmetry breaking in gravity have come again into focus, and, in this revised edition, these will be exposed in geometric terms. Quantizing gravity remains an open issue: formulating it as a de Sitter type gauge theory in the spirit of Yang-Mills, some new progress in its topological form is presented. After symmetry breaking, Einstein’s standard general relativity with cosmological constant emerges as a classical background. The geometrical structure of BRST quantization with non-propagating topological ghosts is developed in some detail.

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.

Highlights in Gravitation and Cosmology

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Publisher : CUP Archive
ISBN 13 : 9780521361255
Total Pages : 474 pages
Book Rating : 4.3/5 (612 download)

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Book Synopsis Highlights in Gravitation and Cosmology by : B. R. Iyer

Download or read book Highlights in Gravitation and Cosmology written by B. R. Iyer and published by CUP Archive. This book was released on 1988 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Gauge Fields, Knots and Gravity

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Publisher : World Scientific Publishing Company
ISBN 13 : 9813103248
Total Pages : 480 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Gauge Fields, Knots and Gravity by : John Baez

Download or read book Gauge Fields, Knots and Gravity written by John Baez and published by World Scientific Publishing Company. This book was released on 1994-10-24 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introduction to the basic tools of mathematics needed to understand the relation between knot theory and quantum gravity. The book begins with a rapid course on manifolds and differential forms, emphasizing how these provide a proper language for formulating Maxwell's equations on arbitrary spacetimes. The authors then introduce vector bundles, connections and curvature in order to generalize Maxwell theory to the Yang-Mills equations. The relation of gauge theory to the newly discovered knot invariants such as the Jones polynomial is sketched. Riemannian geometry is then introduced in order to describe Einstein's equations of general relativity and show how an attempt to quantize gravity leads to interesting applications of knot theory.

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".

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

General Relativity And Gravitational Physics - Proceedings Of The 8th Italian Conference

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Publisher : #N/A
ISBN 13 : 9814699780
Total Pages : 648 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis General Relativity And Gravitational Physics - Proceedings Of The 8th Italian Conference by : Cerdonio Massimo

Download or read book General Relativity And Gravitational Physics - Proceedings Of The 8th Italian Conference written by Cerdonio Massimo and published by #N/A. This book was released on 1989-04-01 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: This conference reviewed the current status of General Relativity and Classical Theories of Gravitation, Relativistic Astrophysics and Cosmology, Experimental and Observational Gravitation, Supergravity and Quantum Gravity.

Recent Advances in General Relativity

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Publisher : Springer Science & Business Media
ISBN 13 : 9780817635411
Total Pages : 282 pages
Book Rating : 4.6/5 (354 download)

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Book Synopsis Recent Advances in General Relativity by : Allen I. Janis

Download or read book Recent Advances in General Relativity written by Allen I. Janis and published by Springer Science & Business Media. This book was released on 1992-02-07 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers from the Discussion Conference on Recent Advances in General Relativity, held at the U. of Pittsburgh, May 1990, survey the interacting fields of classical general relativity, astrophysics, and quantum gravity. Some of the remarks made following the invited papers are also included. The conference also included three workshops on classical g

Quantum Gravity And Cosmology - Proceedings Of The Xxii Gift International Seminar On Theoretical Physics

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Publisher : World Scientific
ISBN 13 : 9814555436
Total Pages : 210 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Quantum Gravity And Cosmology - Proceedings Of The Xxii Gift International Seminar On Theoretical Physics by : Emilio Elizalde

Download or read book Quantum Gravity And Cosmology - Proceedings Of The Xxii Gift International Seminar On Theoretical Physics written by Emilio Elizalde and published by World Scientific. This book was released on 1992-08-14 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This year's GIFT Seminar reviewed some recent developments and new perspectives on Quantum Gravity and Quantum Cosmology. The topics treated at a graduate level include an Introduction to Quantum Gravity, Path Integral Measure, Non-Perturbative Canonical Formulation (Ashtekar's variable, loop space quantization). Topics on Quantum Cosmology include the Cosmological Constant Problem, Minisuperspace Models, Wormholes and Baby Universes, and Inflationary Cosmology.

Applied Differential Geometry

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Publisher :
ISBN 13 : 9814475645
Total Pages : pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Applied Differential Geometry by :

Download or read book Applied Differential Geometry written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: