Rating: 
Summary: Valuable
Review: A valuable reference for GR. If one has to learn something on GR for the first time, then this is probably not the best book to start with (even if the first part on GR, chapters 1-6, is quite clear). On the other hand the book contains a very good treatment of Energy in GR, Killing fields, and ADM Energy-momentum. This is in brief a great buy, if one does not feel fine facing Hawking-Ellis.
Rating: 
Summary: Wonderful
Review: He uses the abstract index notation to avoid the terrible mess of putting everything into coordinates that occurs in Weinberg. This is a good book for mathematicians to read. Very clear, and enjoyable.
Rating:
Summary: One of best books in GR
Review: I found Wald's book to be better as an introduction than MTW. However, you'll probably want to get both books since you'll need them if you're going to really understand GR. Here are some points:1) Wald is more concise than MTW. MTW tries to make differential geometry "intuitive" through some, in my opinion, poorly choosen concepts. So I found Wald to be much more understandable. 2) The book is much shorter than MTW so it is a little less daunting of a task. Wald still covers all the basics so you are not cheated out of any topics. 3) Do not expect to learn the differential geometry you need from Wald's Chapters 2 and 3 and appendices. A nice cheap book is Lovelock and Rund's "Tensors, Differential Forms and Variational Principles" (Dover). This book is surprisingly good and will cover the topics in a very understandable way in as few pages as possible. This allows you to get on with GR as quickly as possible. Read a chapter in Lovelock and Rund and then read the corresponding section in Wald. This allows you to understand both the concept and Wald's notation. I found the two books worked perfectly together. Enjoy!
Rating:
Summary: A Very Nice Introduction
Review: I found Wald's book to be better as an introduction than MTW. However, you'll probably want to get both books since you'll need them if you're going to really understand GR. Here are some points: 1) Wald is more concise than MTW. MTW tries to make differential geometry "intuitive" through some, in my opinion, poorly choosen concepts. So I found Wald to be much more understandable. 2) The book is much shorter than MTW so it is a little less daunting of a task. Wald still covers all the basics so you are not cheated out of any topics. 3) Do not expect to learn the differential geometry you need from Wald's Chapters 2 and 3 and appendices. A nice cheap book is Lovelock and Rund's "Tensors, Differential Forms and Variational Principles" (Dover). This book is surprisingly good and will cover the topics in a very understandable way in as few pages as possible. This allows you to get on with GR as quickly as possible. Read a chapter in Lovelock and Rund and then read the corresponding section in Wald. This allows you to understand both the concept and Wald's notation. I found the two books worked perfectly together. Enjoy!
Rating:
Summary: Good
Review: I used this text for a course after taking an undergraduate GR course based on Shutz. I found Shutz to be a much clearer and pedagogical text, and don't think I would have learned GR as easily if I had started with Wald. I think one requires greater mathematical preparation than I possess to fully appreciate the discussions involving topology in the second chapter and appendix. Oddly, however, this text becomes clearer as the reader advances through it: later chapters were more straightforward and still concise.
Rating:
Summary: Good
Review: I used this text for a course after taking an undergraduate GR course based on Shutz. I found Shutz to be a much clearer and pedagogical text, and don't think I would have learned GR as easily if I had started with Wald. I think one requires greater mathematical preparation than I possess to fully appreciate the discussions involving topology in the second chapter and appendix. Oddly, however, this text becomes clearer as the reader advances through it: later chapters were more straightforward and still concise.
Rating: 
Summary: Fair
Review: If you like the formal and dry, boring style of a graduate level mathematics textbook, this is the book for you, if not look elsewhere. I found Misner, Thorne, and Wheeler to be a much better book than this one. MTW takes a more physical approach and is much more interesting reading. MTW is also very good at introducing concepts like one forms and tensors in general to the uninitiated student. If you read Wald, you are better off already having a good grasp of differential geometry. My suggestion for learning GR is MTW supplemented by D'Inverno and Schutz.
Rating:
Summary: The textbook of choice for the discerning student!
Review: Offers the clearest introduction available (using the best notation) to the mathematical background (e.g. the connection). Concise, careful, and clear. Particularly strong on singularity theorems, causality, and black hole thermodynamics. Narrower coverage than Stephani or d'Inverno, but provides the best introduction to these topics. Includes problems. Should appeal particularly to mathematically minded readers. This book might look daunting at first glance but I think it is actually very "reader-friendly"-- I find I appreciate it more each time I return to it.
Rating:
Summary: This book is indispensable for every theoretical physicist.
Review: The excellent book by Robert Wald is really indispensable for every active theoretical physicist. I completely agree with the characterization given for this book in its presentation by Amazon.com.
Rating:
Summary: Helpful
Review: There have been many books written on general relativity from both a physical and mathematical viewpoint, but this one stands out as one that is a hybrid between mathematical rigor and physical insight. It is certainly written for the physics student, but mathematicians interested in general relativity can certainly benefit from its perusal. I only read the first nine chapters of the book, so my review will be limited to these. The first chapter is a short introduction to special relativity put in by the author for motivation. And, instead of introducing the mathematical formalism "as needed" in the book, the author chooses to outline it in detail in chapters two and three. The approach taken is a "modern" coordinate-free one, at least from the standpoint of differential geometry, but he delegates to an appendix the relevant background in topology. Since he is targeting the physicist reader, he does not hesitate to use diagrams to explain the concepts. The author introduces the idea of a dual vector using the example of a magnetic field. Tensors are then defined with great clarity from the standpoint of mathematical rigor. The physicist reader may have trouble digesting this if seeing tensors defined this way for the first time, instead of via their transformations properties, as is typically done. The abstract index notation is introduced to deal with the plethora of indices involved in manipulating tensors. In the treatment of geodesics, the author shows that it is sufficient to consider curves that are affinely parametrized, and the geodesic equation is derived in a coordinate basis. Riemannian and Gaussian normal coordinates are discussed as consequences of the unique solution of the geodesic equation. Curvature is also characterized in terms of the geodesic equation and two methods for calculating it are discussed: the coordinate component and tetrad methods, with the Newman-Penrose method briefly discussed. The existence of symbolic programming languages such as Mathematica and Maple make tensor manipulation much less laborius than the author contends in the book. In the next chapter, the principle of general covariance is introduced as one that prohibits the existence of perferred vector fields in the laws of physics. The metric is the only quantity permitted to be related to space in the laws of physics. Thus quantities such as the Christoffel symbols, cannot appear in these laws. The author discusses in detail how general relativity views gravitation in terms of curved spacetime geometry and how Mach's principle is incorporated, the later forcing the spacetime metric to be a dynamical variable. The author discusses the difficulty in solving the Einstein equation, namely that a simultaneous solution for the spacetime metric and matter distribution is required (since the stress-energy tensor, the "source", requires knowledge of the spacetime metric for its interpretation). The linearized theory is discussed in detail along with the Newtonian limit. Gravitational waves are shown to follow from the linearized Einstein equation. The effect of energy loss on the orbital period of the Taylor-McCulloch binary star system is discussed as an experimental verification of general relativity. Applications to cosmology are given in chapter 5, which is restricted to the case of homogeneous, isotropic cosmologies. The reader gets introduced to the famous Hubble constant, along with Robertson-Walker and Friedman solutions. A fairly lengthy overview of the evolution of the universe is given. The next chapter is devoted entirely to the Schwarzschild solution, which is used to discuss the four experimental verifications of general relativity, namely the gravitational redshift, the precession of Mercury's orbit, bending of light by the Sun, and the time delay of radar signals. The singularities in the Schwarzschild solution are treated via the Kruskal extension. Methods for obtaining physically realistic solutions are discussed in chapter 7, most of these being obtained by exploiting stationarity and symmetry properties. Perturbation theory is discussed very briefly with no explicit examples given. Topics of a more mathematical nature appear in chapter 8, wherein the causal structure of spacetime is discussed. The discussion is qualitative and not based on Einsteins equation, and so is applicable to general spacetimes. One wonders when reading it if the obtained framework can be based on an analytical (or possibly numerical) treatment of the Einstein equation, instead of pure differential geometry. It is shown that null geodesics are The discussion here sets the tone for the next chapter on singularities, wherein the author derives criteria for determining when a timelike geodesic is not a local maximum in proper time between two points, and for when a null geodesic fails to remain on the boundary of the future of a point or two-dimensional surface. By using the local positivity of the stress-energy tensor (this is the only place the Einstein equation gets used) to get an inequality on the Ricci tensor, the author shows that timelike geodesics cannot be maximal length curves and null geodesics cannot remain on past or future boundaries. However, using compactness properties of the space of causal curves allows one to prove the existence of timelike and nullike curves of maximal length in globally hyperbolic spacetimes. The singularity theorems are shown to follow from this contraction, giving the result that spacetime is timelike or nulllike incomplete. A very detailed discussion of the definition of a singularity in physics is given. In all of the author's discussion, it is very interesting to note that the Einstein equation is only used once in obtaining the bound on the Ricci tensor. One naturally wonders if this framework is more general than what is available via general relativity, namely a question to ask is whether the Einstein notion of gravity can be derived from a consideration of singularities. Enforcing the presence (or absence) of singularities may allow the derivation of gravitational theories that are not the same as Einsteins, and yet have the same experimental success.
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