Canonical Gravity and Applications

Canonical Gravity and Applications
Author: Martin Bojowald
Publisher: Cambridge University Press
Total Pages: 313
Release: 2010-12-23
Genre: Science
ISBN: 1139494139

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.

Modern Canonical Quantum General Relativity

Modern Canonical Quantum General Relativity
Author: Thomas Thiemann
Publisher: Cambridge University Press
Total Pages: 739
Release: 2008-11-13
Genre: Science
ISBN: 113946759X

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.

Lectures on Non-perturbative Canonical Gravity

Lectures on Non-perturbative Canonical Gravity
Author: Abhay Ashtekar
Publisher: World Scientific
Total Pages: 356
Release: 1991
Genre: Science
ISBN: 9810205740

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.

Quantum Gravity in 2+1 Dimensions

Quantum Gravity in 2+1 Dimensions
Author: Steven Carlip
Publisher: Cambridge University Press
Total Pages: 296
Release: 2003-12-04
Genre: Science
ISBN: 9780521545884

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

Semiclassical and Stochastic Gravity

Semiclassical and Stochastic Gravity
Author: Bei-Lok B. Hu
Publisher: Cambridge University Press
Total Pages: 615
Release: 2020-03-05
Genre: Science
ISBN: 0521193575

An overview of semi-classical gravity theory and stochastic gravity as theories of quantum gravity in curved space-time.

A First Course in Loop Quantum Gravity

A First Course in Loop Quantum Gravity
Author: Rodolfo Gambini
Publisher: OUP Oxford
Total Pages: 192
Release: 2011-09-22
Genre: Science
ISBN: 0191003239

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.

Quantum Gravity, Quantum Cosmology and Lorentzian Geometries

Quantum Gravity, Quantum Cosmology and Lorentzian Geometries
Author: Giampiero Esposito
Publisher: Springer Science & Business Media
Total Pages: 364
Release: 1994-01-28
Genre: Computers
ISBN: 3540575219

The first aim of this book is to describe recent work on the problem of boundary conditions in one-loop quantum cosmology. The motivation is to understand whether supersymmetric theories are one-loop finite in the presence of boundaries. The second aim of the book is to present a recent, entirely new study of the singularity problem for space-times with torsion. The book is written in self-contained form. In many cases problems have been initially formulated in the simplest possible way, and finally presented and solved at increasing levels of complexity. Readers will find here a detailed and updated study of quantum cosmology, its motivation, and application to perturbative quantum gravity. Moreover, this is the first book which enables the reader to learn techniques used in classical gravity and quantum cosmology. The second edition adds new material to both the text and the bibliography.

Gauge/Gravity Duality

Gauge/Gravity Duality
Author: Martin Ammon
Publisher: Cambridge University Press
Total Pages: 549
Release: 2015-04-09
Genre: Juvenile Nonfiction
ISBN: 1107010349

The first textbook on this important topic, for graduate students and researchers in particle and condensed matter physics.

Theoretical and Observational Cosmology

Theoretical and Observational Cosmology
Author: Marc Lachièze-Rey
Publisher: Springer Science & Business Media
Total Pages: 428
Release: 1999-09-30
Genre: Science
ISBN: 9780792359456

Proceedings of the NATO Advanced Study Institute, held in Cargèse, France from 17-29 August 1998