Overview
- The text is a brief yet complete introduction to general relativity, continuously revised so that the lectures and the text should are as up to date as possible
- This book is the ideal student book for a course in general relativity, written by an author who has been complimented in several book reviews for writing comprehensive texts on general relativity
- The book is suited for self study of general relativity and is an understandable and comprehensive text on the subject
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Physics (LNP, volume 772)
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Table of contents (11 chapters)
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Front Matter
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Back Matter
Keywords
About this book
This book has resulted from a course in the general theory of relativity at the University of Oslo where the author has lectured for more than twenty years. Although the text is designed for master students, it is rather self-contained. Since mathematics courses on differential geometry and tensor calculus usually employ a rather abstract notation different from the component notation used in physical applications, the book introduces not only an introduction to the physical principles of the theory and physical applications of the theory, but also introduces the mathematics which is needed, in particular the calculus of differential forms. Detailed calculations are given of the bending of light, the perihelion precession of Mercury and the predictions for the Hafele-Keating experiment. The Tolman-Oppenheimer-Volkoff equation is deduced and solved for an incompressible fluid to give the internal Schwarzschild solution. Rotating black holes are discussed. The Friedmann-Robertson-Walker universe models are deduced. Also the reader will become familiar with the Universe model which is now considered as the standard model of the universe; a flat model filled with vacuum energy and cold matter. The inflationary era at the first moment of the history of our universe is also discussed.
Reviews
From the reviews:
“The textbook is self-contained and designed for master students. The book provides an introduction to abstract notations for tensor calculus and differential geometry, in particular the calculus of differential forms.” (Vladimir Dzhunushaliev, Zentralblatt MATH, Vol. 1192, 2010)
“This book collects the lecture notes of a course on general relativity … . The text is enriched by a collection of interesting and stimulating exercises, which both allow a working knowledge of the theory and provide further insight into the theory itself and its applications as well. Together with the personal didactical approach taken by the author in his book, these exercises may represent useful hints for a teacher wishing to introduce new ideas in a standard introductory course on general relativity.” (Giovanni Preti, Mathematical Reviews, Issue 2011 k)
Authors and Affiliations
Bibliographic Information
Book Title: Lecture Notes on the General Theory of Relativity
Book Subtitle: From Newton’s Attractive Gravity to the Repulsive Gravity of Vacuum Energy
Authors: Øyvind Grøn
Series Title: Lecture Notes in Physics
DOI: https://doi.org/10.1007/978-0-387-88134-8
Publisher: Springer New York, NY
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer-Verlag New York 2009
Hardcover ISBN: 978-0-387-88133-1Published: 20 April 2009
eBook ISBN: 978-0-387-88134-8Published: 23 March 2010
Series ISSN: 0075-8450
Series E-ISSN: 1616-6361
Edition Number: 1
Number of Pages: XII, 252
Number of Illustrations: 93 b/w illustrations
Topics: Classical and Quantum Gravitation, Relativity Theory, Mathematical Methods in Physics, Astronomy, Astrophysics and Cosmology