Lecture Notes On Symmetries And Curvature Structure In General Relativity
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Symmetries And Curvature Structure In General Relativity
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Author : Graham S Hall
language : en
Publisher: World Scientific
Release Date : 2004-04-27
Symmetries And Curvature Structure In General Relativity written by Graham S Hall and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-04-27 with Science categories.
This is a text on classical general relativity from a geometrical viewpoint. Introductory chapters are provided on algebra, topology and manifold theory, together with a chapter on the basic ideas of space-time manifolds and Einstein's theory. There is a detailed account of algebraic structures and tensor classification in general relativity and also of the relationships between the metric, connection and curvature structures on space-times. The latter includes chapters on holonomy and sectional curvature. An extensive study is presented of symmetries in general relativity, including isometries, homotheties, conformal symmetries and affine, projective and curvature collineations. Several general properties of such symmetries are studied and a preparatory section on transformation groups and on the properties of Lie algebras of vector fields on manifolds is provided.
Lecture Notes On Symmetries And Curvature Structure In General Relativity
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Author : G.S. Hall
language : de
Publisher:
Release Date : 1998
Lecture Notes On Symmetries And Curvature Structure In General Relativity written by G.S. Hall and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.
Mathematical Introduction To General Relativity A Second Edition
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Author : Amol Sasane
language : en
Publisher: World Scientific
Release Date : 2024-12-20
Mathematical Introduction To General Relativity A Second Edition written by Amol Sasane and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-20 with Science categories.
The book aims to give a mathematical presentation of the theory of general relativity (that is, spacetime-geometry-based gravitation theory) to advanced undergraduate mathematics students. Mathematicians will find spacetime physics presented in the definition-theorem-proof format familiar to them. The given precise mathematical definitions of physical notions help avoiding pitfalls, especially in the context of spacetime physics describing phenomena that are counter-intuitive to everyday experiences.In the first part, the differential geometry of smooth manifolds, which is needed to present the spacetime-based gravitation theory, is developed from scratch. Here, many of the illustrating examples are the Lorentzian manifolds which later serve as spacetime models. This has the twofold purpose of making the physics forthcoming in the second part relatable, and the mathematics learnt in the first part less dry. The book uses the modern coordinate-free language of semi-Riemannian geometry. Nevertheless, to familiarise the reader with the useful tool of coordinates for computations, and to bridge the gap with the physics literature, the link to coordinates is made through exercises, and via frequent remarks on how the two languages are related.In the second part, the focus is on physics, covering essential material of the 20th century spacetime-based view of gravity: energy-momentum tensor field of matter, field equation, spacetime examples, Newtonian approximation, geodesics, tests of the theory, black holes, and cosmological models of the universe. Prior knowledge of differential geometry or physics is not assumed. The book is intended for self-study, and the solutions to all the 283 exercises are included.The second edition corrects errors from the first edition, and includes 60 new exercises, 10 new remarks, 29 new figures, some of which cover auxiliary topics that were omitted in the first edition.
Lattice Gauge Theories An Introduction Second Edition
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Author : Heinz J Rothe
language : en
Publisher: World Scientific Publishing Company
Release Date : 1997-06-09
Lattice Gauge Theories An Introduction Second Edition written by Heinz J Rothe and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-06-09 with categories.
This book introduces the reader to an area of elementary particle physics which has been the subject of intensive research in the past two decades. It provides graduate students with the basic theoretical background on quantum gauge field theories formulated on a space-time lattice, and with the computational tools for carrying out research in this field. The book is a substantially extended version of the first edition which appeared in 1992. Much effort has been invested to present the material in a transparent way, and in exemplifying subtle points in simple models. The material covered should enable the reader to follow the vast literature on the subject without too much difficulties. Hopefully the book will motivate young physicists to carry out research in this area of elementary particle physics.
General Relativity And Gravitation Proceedings Of The 17th International Conference
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Author : Adrian Ottewill
language : en
Publisher: World Scientific
Release Date : 2005-11-07
General Relativity And Gravitation Proceedings Of The 17th International Conference written by Adrian Ottewill and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-11-07 with Science categories.
This authoritative volume provides a snapshot of the state of the art in gravitational physics and related mathematical fields, as well as a review of recent achievements and prospects for future work. With contributing authors among the world leaders in their respective fields, this proceedings volume is a worthy addition to this conference series, which constitutes one of the most important international meetings in the areas general relativity and gravitation.
Foundations Of Quantum Chromodynamics An Introduction To Perturbative Methods In Gauge Theories 2nd Edition
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Author : Taizo Muta
language : en
Publisher: World Scientific Publishing Company
Release Date : 1998-06-06
Foundations Of Quantum Chromodynamics An Introduction To Perturbative Methods In Gauge Theories 2nd Edition written by Taizo Muta and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-06-06 with Science categories.
This volume develops the techniques of perturbative QCD in great pedagogical detail starting with field theory. Aside from extensive treatments of the renormalization group technique, the operator product expansion formalism and their applications to short-distance reactions, this book provides a comprehensive introduction to gauge theories. Examples and exercises are provided to amplify the discussions on important topics. This is an ideal textbook on the subject of quantum chromodynamics and is essential for researchers and graduate students in high energy physics, nuclear physics and mathematical physics.
Advances In Lorentzian Geometry
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Author : Matthias Plaue
language : en
Publisher: American Mathematical Soc.
Release Date : 2011
Advances In Lorentzian Geometry written by Matthias Plaue and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
Offers insight into the methods and concepts of a very active field of mathematics that has many connections with physics. It includes contributions from specialists in differential geometry and mathematical physics, collectively demonstrating the wide range of applications of Lorentzian geometry, and ranging in character from research papers to surveys to the development of new ideas.
Lecture Notes On The General Theory Of Relativity
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Author : Øyvind Grøn
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-03-23
Lecture Notes On The General Theory Of Relativity written by Øyvind Grøn and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-23 with Science categories.
This book collects lectures on the general theory of relativity given by Dr. Øyvind Grøn at the University of Oslo, Norway. This accessible text allows students to follow the deductions all the way throughout the book.
Symmetries Of Spacetimes And Riemannian Manifolds
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Author : Krishan L. Duggal
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-22
Symmetries Of Spacetimes And Riemannian Manifolds written by Krishan L. Duggal and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-22 with Mathematics categories.
This book provides an upto date information on metric, connection and curva ture symmetries used in geometry and physics. More specifically, we present the characterizations and classifications of Riemannian and Lorentzian manifolds (in particular, the spacetimes of general relativity) admitting metric (i.e., Killing, ho mothetic and conformal), connection (i.e., affine conformal and projective) and curvature symmetries. Our approach, in this book, has the following outstanding features: (a) It is the first-ever attempt of a comprehensive collection of the works of a very large number of researchers on all the above mentioned symmetries. (b) We have aimed at bringing together the researchers interested in differential geometry and the mathematical physics of general relativity by giving an invariant as well as the index form of the main formulas and results. (c) Attempt has been made to support several main mathematical results by citing physical example(s) as applied to general relativity. (d) Overall the presentation is self contained, fairly accessible and in some special cases supported by an extensive list of cited references. (e) The material covered should stimulate future research on symmetries. Chapters 1 and 2 contain most of the prerequisites for reading the rest of the book. We present the language of semi-Euclidean spaces, manifolds, their tensor calculus; geometry of null curves, non-degenerate and degenerate (light like) hypersurfaces. All this is described in invariant as well as the index form.
Classical And Quantum Gravity
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Author :
language : en
Publisher:
Release Date : 2004
Classical And Quantum Gravity written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Gravitation categories.