被引数量: 533
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斯坦福大学

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General Relativity and the Einstein Equations

ISBN: 9780199230723 出版年:2009 页码:812 Choquet-Bruhat, Yvonne Oxford University Press

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内容简介

FOREWORD ACKNOWLEDGEMENTS 1. Lorentzian Geometry 2. Special Relativity 3. General Relativity and the Einstein Equations 4. Schwarzschild Space-time and Black Holes 5. Cosmology 6. Local Cauchy Problem 7. Constraints 8. Other Hyperbolic-Elliptic systems 9. Relativistic Fluids 10. Kinetic Theory 11. Progressive Waves 12. Global Hyperbolicity and Causality 13. Singularities 14. Stationary Space-times and Black Holes 15. Global Existence Theorems, Asymptotically Euclidean Data 16. Global existence theorems, cosmological case APPENDICES I. Sobolev Spaces II. Elliptic Systems III. Second Order Quasidiagonal Systems IV. General Hyperbolic Systems V. Cauchy Kovalevski and Fuchs theorems VI. Conformal Methods VII. Kaluza Klein Formulas

Amazon评论
George Hrabovsky

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.

A. Nelson

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.

ytchou

The print is good and the content is interesting!

Michael Koch

Hard to read but, at least as additionally source, worth the effort. From the grand dame of the inital value problem.

P. J.

good book, came too late though

Pasa Guglielmo

As announced. Highly recommended!!

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