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General Relativity and the Einstein Equations (Oxford Mathematical Monographs) Hardcover – 4 Dec 2008


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The book is a refreshing exposition of what is not known: The reader will come away feeling that general relativity has many exciting aspects to it just waiting to be discovered. (Physics Today)

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We give in this chapter a survey of the basic definitions of Riemannian and Lorentzian differential geometry that we will use in this book. Read the first page
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Front Cover | Copyright | Table of Contents | Excerpt | Index
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Amazon.com: 2 reviews
15 of 17 people found the following review helpful
Best Review of Constraints in General Relativity 27 Mar. 2010
By A. Nelson - Published on Amazon.com
Format: Hardcover Verified Purchase
Okay, this book has positive and negative aspects to it.

First the negative aspects. There are typos, which should be expected for such a huge book's first edition. Some are severe, others are not (e.g. when showing a rank-2 tensor is symmetric, it writes $X_{ab}=X_{ab}$ instead of $X_{ab}=X_{ba}$). These are the only negatives that come to mind.

The positives are that this is probably the most (if not *the*) authoritative reference on constraints in general relativity. It covers York's conformally formulated constraints, and Moncrief's contributions as well. This is done in a scholarly manner, so one can refer to the original sources, and in a self-contained cohesive manner (so you don't have to refer to the original sources). It is really quite beautifully written.

It may be a bit intimidating for the uninitiated working with constraints. I cannot help but apologize to the neophytes, I know no good introduction to the canonical formulation of gravity (except perhaps Poisson's book "The Relativist's Toolkit"). I cannot really deem this either a good or bad introduction, I was using the book as a reference.

There are exercises, however, so if the reader performs all the exercises...she will be far more astute when it comes to the computations and theory behind esoteric topics in general relativity.

But wait, there's more! This book covers black holes (in a rather mathematical way, so all of your favorite singularity theorems are here presented with proofs in a cohesive and beautifully well written manner).

My two cents is to refer to this book when working on canonical formulations of gravity; I am currently in a reading group on black hole thermodynamics, and this book is my first recommendation to other students in the group.
This is truly great presentation of relativity 4 Dec. 2014
By George Hrabovsky - Published on Amazon.com
Format: Hardcover Verified Purchase
This is truly great presentation of relativity. The first three chapters could easily form a course in relativity for graduate students. This is a book full of useful information from a master of the subject.
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