Einstein's General Theory of Relativity
With Modern Applications in Cosmology
Authors: Grøn, Øyvind, Hervik, Sigbjorn
Free Preview More than 200 pages devoted to modern applications of the theory
 Presents several topics that have been developed only recently
 Discusses standard model of cosmology as well as alternatives to the standard FRW cosmology
 Presents modern powerful techniques and tools
 These techniques are used on alternative theories of gravity, including braneworlds and other higherdimensional theories
Buy this book
 About this Textbook

Many of us have experienced the same; fallen and broken something. Yet supposedly, gravity is the weakest of the fundamental forces; it is claimed to be 1015 times weaker than electromagnetism. Still, every one of us has more or less had a personal relationship with gravity.
Einstein’s General Theory of Relativity: With Modern Applications in Cosmology by Oyvind Gron and Sigbjorn Hervik is about gravity and the concept of gravity as Albert Einstein saw it curved spaces, fourdimensional manifolds and geodesics. The book starts with the 1^{st} principals of relativity and an introduction to Einstein’s field equations. Next up are the three classical tests of the relativity theory and an introduction to black holes.
The book contains several topics not found in other textbooks, such as KaluzaKlein theory, anisotropic models of the universe, and new developments involving brane cosmology.
Gron and Hervik have included a part in the book called "Advanced Topics." These topics range from the very edge of research to older, accepted ideas. In particular, the last two chapters deal with Einstein gravity in five dimensions, which has been a hot topic of research in recent years.
On one final note, cosmology has also proven to be a very important testing arena for the general theory of relativity and a large part of the book is therefore devoted to this subject.
 About the authors

Both authors are researchers in general relativity with particular emphasis on cosmology. They have earned the following honors: Illustrert Vitenskaps research prize (1988), The King's Gold Medal (1990), 2nd prize, SmithKnight RayleightKnight prizes, Cambridge University (2003), and Research Prize of Oslo College of Engineering (2004).
 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. Upperdivision 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 indexnotation as well as in the modern indexfree notation; I think this is helpful for the readers." (HansJürgen 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)
 Table of contents (18 chapters)


Relativity Principles and Gravitation
Pages 319

The Special Theory of Relativity
Pages 2147

Vectors, Tensors, and Forms
Pages 5162

Basis Vector Fields and the Metric Tensor
Pages 6388

Noninertial Reference Frames
Pages 89108

Table of contents (18 chapters)
Buy this book
Recommended for you
Bibliographic Information
 Bibliographic Information

 Book Title
 Einstein's General Theory of Relativity
 Book Subtitle
 With Modern Applications in Cosmology
 Authors

 Øyvind Grøn
 Sigbjorn Hervik
 Copyright
 2007
 Publisher
 SpringerVerlag New York
 Copyright Holder
 SpringerVerlag New York
 eBook ISBN
 9780387692005
 DOI
 10.1007/9780387692005
 Hardcover ISBN
 9780387691992
 Softcover ISBN
 9781441924063
 Edition Number
 1
 Number of Pages
 XX, 538
 Topics