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e-Book The General Theory of Relativity: A Mathematical Exposition epub download

e-Book The General Theory of Relativity: A Mathematical Exposition epub download

Author: Andrew DeBenedictis,Anadijiban Das
ISBN: 1461436575
Pages: 678 pages
Publisher: Springer; 2012 edition (June 26, 2012)
Language: English
Category: Astronomy & Space Science
Size ePUB: 1384 kb
Size Fb2: 1112 kb
Size DJVU: 1957 kb
Rating: 4.1
Votes: 959
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Subcategory: Science

e-Book The General Theory of Relativity: A Mathematical Exposition epub download

by Andrew DeBenedictis,Anadijiban Das



tensor analysis the special theory of relativity the general theory of. .

tensor analysis the special theory of relativity the general theory of relativity and Einstein’s field equations spherically symmetric solutions and experimental confirmations static and stationary space-time domains black holes cosmological models algebraic classifications and the Newman-Penrose equations the coupled in-Gordon equations appendices covering mathematical supplements and special topics Mathematical rigor, yet very clear presentation of the topics.

The General Theory of Relativity: A Mathematical Exposition will serve readers as a modern mathematical introduction to the general theory of relativity. Throughout the book, examples, worked-out problems, and exercises (with hints and solutions) are furnished. Anadijiban Das has taught courses on Relativity Theory at The University College of Dublin, Ireland; Jadavpur University, India; Carnegie-Mellon University, USA; and Simon Fraser University, Canada.

Anadijiban Das & Andrew DeBenedictis. Excerpt from the back cover: This book will serve readers as a modern mathematical introduction to the general theory of relativity. Table of contents, List of figures, List of tables, Index (page numbers correspond to draft version). Throughout the book, examples, worked out problems, and exercises (with hints and solutions) are furnished. Topics in this book include, but are not limited to: tensor analysis. the special theory of relativity. the general theory of relativity and Einstein's field equations.

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Chapter · April 2012. In book: The General Theory of Relativity: A Mathematical Exposition, Chapter: A5, Publisher: Springer, p. 25-631. Cite this publication.

Chapter · April 2012. Anadijiban Das. Andrew DeBenedictis. Pacific Institute for the Mathematical Sciences. Do you want to read the rest of this chapter? Request full-text.

Andrew DeBenedictis: General relativity, Quantum gravity, Quantum field theory . The General Theory of Relativity: A Mathematical Exposition. Since the emphasis of this book is general relativity, we will state some of the results in this section without proof, for future application.

Andrew DeBenedictis: General relativity, Quantum gravity, Quantum field theory, Mathematical physics. For more details, the reader is referred to the references provided within this chapter.

General Note: Based on courses taught at the University of Dublin, Carnegie Mellon University, and mostly at Simon Fraser University, this book presents the special theory of relativity from a mathematical point of view. It begins with the axioms of the Minkowski vector space and the flat spacetime manifold. Then it discusses the kinematics of special relativity in terms of Lorentz tranformations, and treats the group structure of Lorentz transformations

Throughout the book, examples, worked-out problems, and exercises (with hints and solutions) are furnished. Topics in this book include, but are not limited to

In General Relativity, Killing vectors describe the spacetime symmetries and to each such Killing vector field, we can associate conserved . Considerations on the Unification of Quantum Physics with the General Theory of Relativity.

In General Relativity, Killing vectors describe the spacetime symmetries and to each such Killing vector field, we can associate conserved charge through stress-energy tensor of matter which is mentioned in the article. In this article, I show that under simple set of canonical transformation of most general class of Bogoliubov transformation between creation, annihilation operators, those charges associated with spacetime symmetries are broken.

Anadijiban Das and Andrew DeBenedictis. General relativity is to date the most successful theory of gravity. In this theory, the gravitational field is not a conventional force but instead is due to the geometric properties of a manifold commonly known as space-time.

The General Theory of Relativity: A Mathematical Exposition will serve readers as a modern mathematical introduction to the general theory of relativity. Throughout the book, examples, worked-out problems, and exercises (with hints and solutions) are furnished. Topics in this book include, but are not limited to: tensor analysis the special theory of relativity the general theory of relativity and Einstein’s field equations spherically symmetric solutions and experimental confirmations static and stationary space-time domains black holes cosmological models algebraic classifications and the Newman-Penrose equations the coupled Einstein-Maxwell-Klein-Gordon equations appendices covering mathematical supplements and special topics Mathematical rigor, yet very clear presentation of the topics make this book a unique text for both university students and research scholars.

Anadijiban Das has taught courses on Relativity Theory at The University College of Dublin, Ireland, Jadavpur University, India, Carnegie-Mellon University, USA, and Simon Fraser University, Canada. His major areas of research include, among diverse topics, the mathematical aspects of general relativity theory.

Andrew DeBenedictis has taught courses in Theoretical Physics at Simon Fraser University, Canada, and is also a member of The Pacific Institute for the Mathematical Sciences. His research interests include quantum gravity, classical gravity, and semi-classical gravity.