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134 of 137 people found the following review helpful:
5.0 out of 5 stars
Excellent introduction, good overview on applications, October 10, 2001
This review is from: Gravitation (Physics Series) (Paperback)
This book can be divided into three logical parts. The first part includes an overview of 4 dimensional physics (spacetime physics, chapter 1), an introduction to special relativity (physics in flat spacetime, chapters 2 to 7), an introduction to the tensor calculus (the mathematics of curved spacetime, chapters 8 to 15) and describes in detail Einstein's general theory of relativity (Einstein's geometric theory of relativity, chapters 16 to 22). This first part is the best introduction to the theory of relativity I have ever read. The mathematics is introduced in a very comprehensive manner, there are lots of exercises where the reader can get used to the tensor calculus. The physical explanations are just brilliant and what is more important general relativity is introduced in the manner Einstein itself viewed it: as a geometric representation of gravity! Other books on this subject formulate general relativity only algebraically (like quantum theory) but this hides the importance of the idea that all gravitational effects can be extracted from the geometry of spacetime. The algebraic formulation may be regarded as more modern by some authors, it must be said however that no algebraic formulation managed to give more physical insight. The algebraic treatment tries to unify the view of general relativity and quantum field theory, but the physical discrepancies between the two theories remain unsolved. The second part starts with the application of general relativity to stars (stars and relativity, chapters 23 to 26), goes on to the universe (the universe, chapters 27-30) and to black holes (gravitational collapse and black holes, chapters 31 to 34), and describes finally gravitational waves (gravitational waves, chapters 35 to 37) and experimental methods (experimental tests of general relativity, chapters 38 to 40). This second part is a good overview, but many details of the computations of the applications are not shown. For the readers interrested in the details the two volume book by Zel'dovich and Novikov "Stars and Relativity"/"The Structure and Evolution of the Universe" is much better (but also much longer). The third part finally describes the frontiers of general relativity (frontiers, chapters 41 to 44). Like part two it gives a good overview not showing many computational details.
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75 of 78 people found the following review helpful:
4.0 out of 5 stars
good reference for advanced, NOT A LOGICAL INTRO to GR, February 2, 2005
This review is from: Gravitation (Physics Series) (Paperback)
This book is known as the 'bible' of General Relativity or 'MTW'.
People with different preparation will perceive MTW in different ways:
The beginners in GR very often will feel that the book is a good reference and shows 'properties' of the defined objects instead of explaining the logical necessity of demanding such properties. My first course in GR was based on that book and although I learned some 'index gymnastics' from it, very often I had questions of the type 'where does this come from, why is it defined this way'. Often I would read about something like 'affine parameter' and I would not understand its importance at all.
For beginners I recommend the books from J.Hartle, B. Schutz, D'Inverno, W. Rindler, S. Carroll and R. Wald in order of increasing abstraction (and decreasing usefullness for beginners). I am currently in the middle of course based on the Carroll's book and I understand things I have never ever been able to understand from the 'bible' like the fact that we may define different connections but only one of them is metric compatible and we CHOOSE to work with it, or that we CHOOSE to work with a torsion free connection, or that reparametrizing a geodesic may not give you back a geodesic (in relation to the affine parameter remark above) ... Such facts are either not clearly spelled in the 'bible' or they are digged in somewhere 300 pages away ...
Once you are past your first (or better second) course in GR, that book will be an invaluable reference for you with plenty of examples how to apply different computational and theoretical techniques in GR.
The reviewers that give it high rating are obviously either experienced in the field or are begginners that value a book only because of the well-known authours.
The book is really a titanic effort to compile all relevant pieces of info into one thick volume BUT PLEASE PLEASE think carefully before you recommend it for INTRODUCTION to General Relativity !!!
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32 of 32 people found the following review helpful:
5.0 out of 5 stars
Complete and excellent coverage, April 17, 2006
This review is from: Gravitation (Physics Series) (Paperback)
Gravitation gives a wonderful presentation of general relativity and the mathematics, primarily differential geometry, needed to understand it. Virtually every topic in classical general relativity is well covered. This book has so much to offer it's only possible to give a subjective view of the highlights and things that make the book unique.
It has a very good introduction to special relativity. This not only helps the reader understand special relativity, but it also gives practice with some of the mathematics needed for general relativity. I don't think many (any?) advanced general relativity books cover special relativity this thoroughly. One thing of special note is that there is a chapter devoted to special relativity and accelerated observers. The reason I think this is important is that it's a fairly common misconception that general relativity is needed to deal with acceleration, I wish more books had chapters like this.
The use of electromagnetism to illustrate the use of tensors is fairly extensive. This not only helps readers learn tensor analysis, but will also help them understand electromagnetism better.
Although black holes are covered in virtually every book on general relativity, the discussion here is much more thorough than usual. The material on the dynamics of the Schwarzschild solution is not a perspective most books give. In addition there is very nice coverage of stellar structure.
The exercises are great.
There is a lot of material on experimental general relativity.
The historical anecdotes are interesting.
There are an above average number of illuminating diagrams
The chapter on the Bianchi identities is exceptional, it also hints to the study of homology.
The initial-value problem is also exceptional.
Regge calculus is covered, an important topic in numerical relativity that is usually neglected.
The chapter on superspace is quite interesting. No, superspace in this sense doesn't have anything to do with supersymmetry. It's the space of solutions to general relativity, among other things this is important for quantum cosmology.
Pretty much any topic in general relativity one would be interested in has excellent coverage, with the possible exception of quantum gravity which only has a small amount of material.
The downsides? While I appreciate the coordinate fee notation, it's not that easy to use when working the exercises. I prefer the use of abstract index notation, at least for working problems with a pen and paper. Some of the diagrams early in the book might be a little confusing to readers without prior knowledge of differential geometry. This isn't really a downside, but this is a fairly advanced book and it might not be an ideal first book on general relativity (Schutz's book provides an excellent introduction and has a similar approach to this book).
In short, this is an exceptional book. Anybody with serious interest in learning general relativity would do well to study it.
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