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A First Course in General Relativity, by Bernard Schutz
Download Ebook A First Course in General Relativity, by Bernard Schutz
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Clarity, readability and rigor combine in the second edition of this widely-used textbook to provide the first step into general relativity for undergraduate students with a minimal background in mathematics. Topics within relativity that fascinate astrophysical researchers and students alike are covered with Schutz's characteristic ease and authority - from black holes to gravitational lenses, from pulsars to the study of the Universe as a whole. This edition now contains discoveries by astronomers that require general relativity for their explanation; a revised chapter on relativistic stars, including new information on pulsars; an entirely rewritten chapter on cosmology; and an extended, comprehensive treatment of modern detectors and expected sources. Over 300 exercises, many new to this edition, give students the confidence to work with general relativity and the necessary mathematics, whilst the informal writing style makes the subject matter easily accessible. Password protected solutions for instructors are available at www.cambridge.org/9780521887052.
- Sales Rank: #587640 in eBooks
- Published on: 2009-05-14
- Released on: 2009-05-14
- Format: Kindle eBook
Review
"Schutz has done a masterful job of incorporating ... new developments into a revised edition, which is sure to become a new "classic." I look forward to teaching out of the second edition of "first course."
Clifford M Will, McDonnell Center for the Space Sciences, Washington University, St Louis
"This new edition retains all of the original's clarity and insight into the mathematical foundations of general relativity, but thoroughly updates the accounts of the application of the theory in astrophysics and cosmology, which have moved on considerably ... The result is an indispensable volume for anyone wishing to develop a deep and physically well-motivated understanding of relativistic gravitation, and this new edition will no doubt become a classic text in its own right."
Mike Hobson, Cavendish Laboratory, University of Cambridge
"Schutz has updated his eminently readable and eminently teachable A First Course in General Relativity. The result maintains the style of the first edition -- intuitively and physically motivated presentation of the subject. ... This text will be appreciated by any upper level undergraduate with an interest in cosmology, astrophysics, or experimentation in gravitational physics."
Richard Matzner, The Center for Relativity, University of Texas at Austin
"Well laid out, developing logically and amply illustrated. Absolutely recommended."
Times Higher Education Supplement
About the Author
Bernard Schutz has done research and teaching in general relativity and especially its applications in astronomy since 1970. He is the author of more than 200 publications, including Geometrical Methods of Mathematical Physics and Gravity from the Ground Up (both published by Cambridge University Press). Schutz currently specialises in gravitational wave research, studying the theory of potential sources and designing new methods for analysing the data from current and planned detectors. He is a member of most of the current large-scale gravitational wave projects: GEO600 (of which he is a PI), the LIGO Scientific Collaboration, and LISA. Schutz is a Director of the Max Planck Institute for Gravitational Physics, also known as the Albert Einstein Institute (AEI), in Potsdam, Germany. He holds a part-time chair in Physics and Astronomy at Cardiff University, Wales, as well as honorary professorships at Potsdam and Hanover universities in Germany. Educated in the USA, he taught physics and astronomy for twenty years at Cardiff before moving to Germany in 1995 to the newly-founded AEI. In 1998 he founded the open-access online journal Living Reviews in Relativity. The Living Reviews family now includes six journals. In 2006 he was awarded the Amaldi Gold Medal of the Italian Society for Gravitation (SIGRAV), and in 2011 he received an honorary DSc from the University of Glasgow. He is a Fellow of the American Physical Society and the Institute of Physics, an Honorary Fellow of the Royal Astronomical Society, and a member of the Learned Society of Wales, the German Academy of Natural Sciences Leopoldina and the Royal Society of Arts and Sciences, Uppsala.
Most helpful customer reviews
19 of 20 people found the following review helpful.
OK or excellent - depends on your taste
By Andreas Finke
In my opinion, this is a very fine book. Introductory but not too easy.
It was the book used in class attended by a wide range of students where I was teaching the tutorials. But: I found that very few students actually liked the book. Let me talk about why I think this is so.
-about one half missed proper mathematics (more advanced students at graduate level) or at least some diff geo as in Carroll (Bachelor students)
-most students found explanations being not very clear especially later, e.g. in the grav. wave chapter
Let me comment on both points. First, when you consider buying this book you probably already know this is a physics first introductory textbook and do not expect too much differential geometry. Then the first criticism does not apply.
(Also, I found that there was almost no correlation between interest in advanced math and ability to solve (physics) problems in GR / understanding of the physics with the students. My own experience when learning GR was in fact that I got side tracked by the appealing math. I now know this was a mistake. )
By the way, all math that is used in Schutz is introduced in a logical, well motivated, very careful way. At least 2 long chapters are spent on this. The approach is not quite the "old fashioned tensors = transform like this"-way and not the "abstract, modern, math" way.
E.g. in the way introduced it is _physically_ clear that the covariant derivative of the metric vanishes (ultrimately connected to the equivalence principle).
C.f. more mathematical introductions: there the covariant derivative is sometimes just defined to have this property. Decide for yourself which approach you like more.
The second point of criticism: I think the first chapters are very clear, but not perfect - I'd rate them 4.5 stars. It starts off pretty easy and does not demand much prior knowledge (nothing beyond first 3 semesters of physics B.Sc in Germany basically). It carefully explains a lot of special relativity first, which is very nice - without being too detailed. Reading (parts of) Rindler's (newer) Relativity text first would take much, much longer. Later stuff only refers to stuff developed before. There is a superb chapter on the stress-energy-momentum-tensor apparently based on MTW. But contrary to some reviewer here I think it does add to the literature in being easier (and not that advanced). But: the level of difficulty gradually increases. The reading becomes slightly slower. One can feel that it becomes harder and harder to obtain the results without having some more advanced mathematical methods at hand or just uses words to describe them (where, I agree, proper definitions in math style indeed would have helped in a pedagogical way to get things straight in the reader's mind; I am thinking about moving frames and Riemann and Fermi normal coordinates). That is why later I'd only rate the book 4 stars. This makes it 4 in total.
If you do not want to find the explanations unclear and hate the book you have to a) be intelligent enough because it is _not_ an easy read despite the introductory character b) invest much more time than I am afraid most of my students did .
But then, relativity is _not_ the simplest thing to understand in physics, so both a) and b) was expected.
Summarizing, what you'd get is:
-nice but not perfect SR intro assuming no previous knowledge
-a physics first approach to GR that teaches you a lot if you think long enough about it
-a very geometrical / physical, detailed introduction to the math of GR that is not at all in the "math style" and not abstract at all
-detailed references up to the highest level
-many arguments that you usually find only in advanced texts
-some originality
-great and many exercises (w/o solutions, but google gives you some, prepared by Schutz himself)
-sometimes you would wish to ask some mentor what is meant by this or that statement, probably
-it is indeed a perfect preperation for MTW. It is more than just track one of MTW since it covers some track 2 material in style of track one.
13 of 13 people found the following review helpful.
Good, but cumbersome notation
By Nate
I struggled through this book more than I was okay with while learning GR. Originally, I thought it was that difficult of a topic. But upon learning much more about GR and having much more experience, I still find this book to be a cumbersome read. The author never decides if he wants to use modern coordinate free notation or old school component only notation. He constantly swaps back and forth and only ever half develops anything from modern notation. It left me VERY confused when first learning this topic. Upon coming back to check it out recently, I now understand why. He does an extremely poor job of developing the notations together and, much more often than not, he leaves you confused.
When the author teaches and strictly stays with old school notation, the book does a fantastic job. But when he tries to incorporate modern notation, it's confusing.
After finding the book "A Student's Guide to Vectors and Tensors," I find that this book is rather mediocre. Fleisch did a drastically better job at teaching you everything up to the Riemann tensor. It's not even comparable. If I were suggesting a path to learn GR, I would say Fleisch, Zee, Carroll, Wald.
29 of 34 people found the following review helpful.
Not for Self Study! Otherwise OK!
By Sudesh
I purchased this book for self study as was recommended by some of the fellow readers but was disappointed to find following issues.
1. Many concepts are not explained fully in the chapters but are rather built into the exercises. As solutions to exercises are not provided in the book it becomes very difficult for understanding the concepts on your own. There is an online file containing solution on Cambridge Universtity press but access to that file is provided only if you are a teacher. This makes the book practically useless for self study.
2. Many equations are given in the book without providing the proper derivation or proof of the equations.
Apart from these drawbacks the book is good and can be useful for students with someone available to explain the concepts. Definitely not for self study.
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