Authors:
- The book has over 200 pages with modern applications of the theory mostly in cosmology
- Several of these topics have been developed recently and are not present in other textbooks
- Standard model of cosmology discussed in detail as well as alternatives to the standard FRW cosmology
- Modern powerful techniques and tools some of which are indespensible for the modern researcher discussed
- Techniques then used on some alternative theories of gravity i.e. brane-worlds and other higher- dimensional theories
- Includes supplementary material: sn.pub/extras
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Table of contents (18 chapters)
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Front Matter
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Introduction: Newtonian Physics And Special Relativity
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Front Matter
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The Mathematics Of The General Theory Of Relativity
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Front Matter
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Einstein's Field Equations
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Front Matter
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Advanced Topics
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Front Matter
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About this book
The book introduces the general theory of relativity and includes applications to cosmology. The book contains a thorough introduction to tensor calculus and curved manifolds. After the necessary mathematical tools are introduced, we give a thorough presentation of the theory of relativity. Also, some advanced topics not previously covered by textbooks; e.g. Kaluza-Klein theory, Israel's formalism and branes. Anisotropic cosmological models are also included.
The book contains a large number of new exercises and examples, each with separate headings. The reader will get an updated introduction to general relativity including the most recent developments in cosmology.
Reviews
From the reviews:
"A sophisticated treatment of general relativity with a considerable number of applications to cosmology. … The book may be read in several different ways, depending on the interests of readers. A rich source of material; college libraries should have it on their shelves. Summing Up: Highly recommended. Upper-division undergraduates through professionals." (K. L. Schick, CHOICE, Vol. v4 (3), November, 2007)
"This book is a carefully prepared overview about all essential aspects of relativity. Its 5 parts give the standard way to present the material … . Differently from other textbooks, the present authors emphasize much more concrete problems and examples … . The book contains a very large number of formulas, partially due to the fact, that many statements are given both in the old index-notation as well as in the modern index-free notation; I think this is helpful for the readers." (Hans-Jürgen Schmidt, Zentralblatt MATH, Vol. 1126 (3), 2008)
"Even if you already have a sizable collection of books on general relativity, or if you are looking for a good modern book to teach a course from, the text by Grøn and Hervik is … a valuable addition to your collection." (David H. Delphenich, Mathematical Reviews, Issue 2008 i)
Authors and Affiliations
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University of Oslo, Blindern, Norway
Øyvind Grøn
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Dalhousie University, B3H 3J5, Halifax, Canada
Sigbjørn Hervik
About the authors
Bibliographic Information
Book Title: Einstein's General Theory of Relativity
Book Subtitle: With Modern Applications in Cosmology
Authors: Øyvind Grøn, Sigbjørn Hervik
DOI: https://doi.org/10.1007/978-0-387-69200-5
Publisher: Springer New York, NY
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer-Verlag New York 2007
Hardcover ISBN: 978-0-387-69199-2Published: 04 May 2007
Softcover ISBN: 978-1-4419-2406-3Published: 29 October 2010
eBook ISBN: 978-0-387-69200-5Published: 24 August 2007
Edition Number: 1
Number of Pages: XX, 538
Topics: Classical and Quantum Gravitation, Relativity Theory, Mathematical Methods in Physics, Mathematics, general