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A First Course in General Relativity, by Bernard F. Schutz
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General relativity has become one of the central pillars of theoretical physics, with important applications in both astrophysics and high-energy particle physics, and no modern theoretical physicist's education should be regarded as complete without some study of the subject. This textbook, based on the author's own undergraduate teaching, develops general relativity and its associated mathematics from a minimum of prerequisites, leading to a physical understanding of the theory in some depth. It reinforces this understanding by making a detailed study of the theory's most important applications - neutron stars, black holes, gravitational waves, and cosmology - using the most up-to-date astronomical developments. The book is suitable for a one-year course for beginning graduate students or for undergraduates in physics who have studied special relativity, vector calculus, and electrostatics. Graduate students should be able to use the book selectively for half-year courses.
- Sales Rank: #830282 in Books
- Brand: Brand: Cambridge University Press
- Published on: 1985-02-22
- Original language: English
- Number of items: 1
- Dimensions: 8.98" h x .87" w x 5.98" l,
- Binding: Paperback
- 392 pages
- Used Book in Good Condition
Review
"Schutz has such mastery of the material that it soon becomes clear that one is in authoritative hands, and topics are selected and developed only to a point where they prove adequate for future needs." The Times Higher Education Supplement
"...ought to inspire more physicists and astronomers to teach--and learn--the other half of the 20th century's revolution in physics." Foundations of Physics
"The book is a goldmine of cleverly constructed problems and exercises (and solutions!)..." Nature
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
40 of 42 people found the following review helpful.
Solid start but you'll need Ohanian/wald
By Charzi
This a very readable book that covers a lot of topics nicely. It gives a solid introduction to many of the main topics in the field. The only complaint I have is that it doesn't cover enough material.
My advice if you want a complete understanding of the field is to buy this and the Ohanian text (which is very thorough, pleasantly readable and does covering just about everything you need). Read them side by side and once that is done move on to Wald. Don't bother with MTW, its is a tome of scattered bits and pieces that work as a reference but it is NOT something from which you want to learn the subject.
2 of 2 people found the following review helpful.
good first book for learning general relativity
By arpard fazakas
This book is a good introduction to relativity which does not pull punches mathematically speaking but still manages to be merciful to the beginner. I read this book with only a basic background in freshman college physics and calculus. It took me 2 6-month sessions over 2 years to go through it all in detail but it was worth it. It gave me a sufficient familiarity with the core concepts and underlying mathematics to consider tackling a more advanced book on relativity someday. The book starts with special relativity, Minkowski diagrams, 4-vectors, etc., then progresses through background material on tensors, one-forms, metrics, etc. It then goes over general covariance, geodesics in curved spacetime, and the equations of general relativity. Following this there is material on the weak gravity (Newtonian) approximation, including the derivation of the precession of Mercury, a key confirmation of Einstein's theory. Then various metrics relevant to cosmology and black holes are discussed, including the Friedmann-Lemaitre metric (the expanding universe), and the Kerr metric (rotating black holes). It was quite fascinating to see the actual mathematical derivations of many of the key concepts and findings of general relativity that I had previously only read about in popular science books. Each chapter comes with problems which help illuminate the material.
A very worthwhile exercise if non-mathematical descriptions of relativity, cosmology, and high-energy astrophysics leave you wishing for a more in-depth understanding, and if you have a basic physics and math background and the time to spend. Five stars!
23 of 25 people found the following review helpful.
Should have been my first GR book!
By Rehan Dost
I got to this book after I had read several GR texts.
Unfortunately, I could have saved much time and grief if I had read it first.
The author is a master in simplifying the often mystical theory of General Relativity.
One requires only a smattering of vector calculus and linear algerbra to begin.
The author begins with an review of SR followed by an introduction to tensor analysis. The notion of perfect fluids culminating in the stress energy tensor is developed.
The mathematics of curved spaces ( Riemann manifolds ) is introduced via christoffel symbols which roughly speaking tell us how the co-ordinate systems change from point to point. The covariant derivative is then introduced and it's nice properties demonstrated. Although connections are not introduced it is shown how the metric induces a natural definition of covariant derivative such that the christoffel symbols possess a certain symmetry condition. This symmetry condition is equivalent to the statement that the covariant derivative of the metric tensor be zero. Once this is achieved one can express christoffel symbols in terms of the metric components.
This is known as the Levi-cevita "connection" in other texts.
Now that we can differentiate on curves spaces ideas of parallel transport and geodesics are developed.
It is then shown that inertial observers in GR travel along geodesics.
The reimann, ricci and einstein tensors are introduced.
Now, we get to the exciting Einstein field equations. I particularly liked how the author gives the motivation and insipiration behind the equation. He shows how Newtons equation for gravitation gives the inspiration for it's generalization. We see how the stress energy tensor represents the "mass density" correlate in Newton's equation. Since this is a (2,0) tensor the left hand side of the equation must also be a ( 2,0) tensor. It is shown that the Einstein Tensor is the best fit.
Thus we see how the presence of matter ( stress energy tensor ) affects the curvature of space ( via the metric components contained within the einstein tensor ).
Now, the resulting equation is simplified to the Newtonian limit ( weak fields - minkowski space with a perturbation factor lead to linearized equations and fields to weak to produce high velocities simplifies the stress energy tensor). These are solved and yield a metric. This metric is then used to calculate the Christoffel symbols which in turn determine the geodesics and hence the motion of particles. We see that these equations of motion are exactly those predicted by Newtonian gravity.
More complicated applications to spherical stars and black holes is explored.
The book is replete with "pearls". For example the importance of the idea of tensors is repeatedly demonstrated. The author shows how tensor equations are INVARIANT under co-ordinate transformations. Thus if an equation is true in one system it is true in ALL systems. This has important applications in simplifying problems. The author does this repeatedly to draw important conclusions.
There are plenty of exercises from basic to advanced.
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