Lecture Notes in Physics

Lecture Notes on the General Theory of Relativity

From Newton’s Attractive Gravity to the Repulsive Gravity of Vacuum Energy

Authors: Grøn, Øyvind

  • Offers a brief, yet complete introduction to general relativity
  • Features lectures that have been continuously revised so as to be as up to date as possible
  • Serves as an ideal student book for a course in general relativity
  • Author has been complimented in several book reviews for writing comprehensive texts on general relativity
  • Suited for self-study of general relativity and is an understandable and comprehensive text on the subject
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eBook $69.99
price for USA (gross)
  • ISBN 978-0-387-88134-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $89.95
price for USA
  • ISBN 978-0-387-88133-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $79.99
price for USA
  • ISBN 978-1-4419-2775-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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)


Table of contents (11 chapters)

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-0-387-88134-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $89.95
price for USA
  • ISBN 978-0-387-88133-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $79.99
price for USA
  • ISBN 978-1-4419-2775-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

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
Series Title
Lecture Notes in Physics
Series Volume
772
Copyright
2009
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-0-387-88134-8
DOI
10.1007/978-0-387-88134-8
Hardcover ISBN
978-0-387-88133-1
Softcover ISBN
978-1-4419-2775-0
Series ISSN
0075-8450
Edition Number
1
Number of Pages
XII, 252
Number of Illustrations and Tables
93 b/w illustrations
Topics