Canonical Gravity and Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Canonical Gravity and Applications write by Martin Bojowald. This book was released on 2010-12-23. Canonical Gravity and Applications available in PDF, EPUB and Kindle. 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
Lectures on Non-perturbative Canonical Gravity - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lectures on Non-perturbative Canonical Gravity write by Abhay Ashtekar. This book was released on 1991. Lectures on Non-perturbative Canonical Gravity available in PDF, EPUB and Kindle. 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
Modern Canonical Quantum General Relativity - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Modern Canonical Quantum General Relativity write by Thomas Thiemann. This book was released on 2008-11-13. Modern Canonical Quantum General Relativity available in PDF, EPUB and Kindle. 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 Quantum Gravity
Canonical Quantum Gravity - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Canonical Quantum Gravity write by Francesco Cianfrani. This book was released on 2014. Canonical Quantum Gravity available in PDF, EPUB and Kindle. 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.
Lectures On Non-perturbative Canonical Gravity
Lectures On Non-perturbative Canonical Gravity - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lectures On Non-perturbative Canonical Gravity write by Abhay Ashtekar. This book was released on 1991-07-03. Lectures On Non-perturbative Canonical Gravity available in PDF, EPUB and Kindle. 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.
