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Relativity, Gravitation and Cosmology, by Robert J. A. Lambourne
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Aimed at advanced undergraduates, this self-contained textbook covers the key ideas of special and general relativity together with their applications. The textbook introduces students to basic geometric concepts, such as metrics, connections and curvature, before examining general relativity in more detail. It shows the observational evidence supporting the theory, and the description general relativity provides of black holes and cosmological space-times. The textbook is in full colour, with numerous worked examples and exercises with solutions. Key points and equations are highlighted for easy identification, and each chapter ends with a summary list of important concepts and results. This textbook provides the essential background for an up-to-date discussion of modern observational cosmology. Each chapter builds on the previous one as concepts are developed, making it ideal for self-study. Accompanying resources to this textbook are available at: http://www.cambridge.org/features/astrophysics.
- Sales Rank: #361832 in Books
- Brand: Lambourne Robert J a
- Published on: 2010-07-26
- Original language: English
- Number of items: 1
- Dimensions: 10.35" h x .79" w x 8.27" l, 2.20 pounds
- Binding: Paperback
- 312 pages
- Relativity Gravitation and Cosmology
Review
"The author has done a great job of producing a text suitable for upper level undergrads and even first year graduate students. The graphics are very good and I particularly appreciate the concise chapter summaries and the exercises with solutions. Students will love this text. I will definitely use it in my upper division classes." - Professor John Huchra, Harvard University
"The presentation of special and general relativity is remarkably clear, with explicit derivations and explanations accompanied by useful and relevant exercises. This text strikes a nice balance between theory and applications and does a commendable job of bringing undergraduates up to speed on a challenging topic. I highly recommend it for a first undergraduate course in general relativity." - Dr Jeremy Darling, University of Colorado
"...is an attractive production, with nice clear diagrams, good use of colour, and photographs and thumb-nail sketches of the major contributors to the field. Lambourne's book really scores, however, in its careful, thorough and well thought-out presentation of the subject...The text reads very comfortably and creates a sense that one is being guided by experienced and knowledgeable authors...This is an excellent volume which can be highly recommended for an introductory course on general relativity and I hope will have the effect of increasing understanding of this most beautiful and striking creation of twentieth century physics." - Lewis Ryder, Contemporary Physics, May 2011
About the Author
Robert Lambourne is Director of the Physics Innovation Centre for Excellence in Teaching and Learning (piCETL) in the Department of Physics and Astronomy, The Open University. In 2002 he was awarded the Bragg medal and prize of the Institute of Physics for his contributions to physics education, and was made a National Teaching Fellow in 2006.
Most helpful customer reviews
28 of 30 people found the following review helpful.
Mathematics AND Colored Illustrations? I Must Be Dreaming
By Cheopys
But no, it's true.
Ok, folks, let's be candid. Most of you are trying to teach yourselves this stuff. You've made it through quantum mechanics, you get Special Relativity well enough, but General Relativity is an impenetrable barrier. Hartle and Wall are hard, Misner Thorne & Wheeler is terrifying.
This is the book you want. The math is clearly presented and the many diagrams and enormously helpful. Each chapter has a summary to prepare you for what follows.
Highly recommended.
46 of 47 people found the following review helpful.
Very nice introduction for self-study, making modest demands
By gengogakusha
on the reader but covering the basics in a pedagogically skillful manner. I have not read all of this book, but I have read enough to recommend it to those who want to go beyond popular explanations but are somewhat intimidated by the standard, frequently recommended introductions, e.g., Schutz's A First Course in General Relativity, Hartle's Gravity: An Introduction to Einstein's General Relativity or Cheng's Relativity, Gravitation and Cosmology: A Basic Introduction (Oxford Master Series in Physics).
Update 10/02/2012: Just noticed there is a very detailed ToC is available in pdf form from the publisher's website.
_______________________________________________________________
I am keeping my less detailed ToC below in case that's more convenient.
Here's the Table of Contents:
Ch.1 Special Relativity and Spacetime [11 - 44]:
1.1 Basic concepts
1.2 Coordinate transformations
1.3 Consequences of Lorentz transformation
1.4 Minkowski spacetime
Interestingly, the discussion of the famous so-called Twin Paradox (no paradox at all), in which one twin stays at home and the other travels away to some distant place and back home only to find his stay-at-home twin older, is analyzed from both the stay-at-home (inertial) twin's viewpoint and the traveling (accelerated) twin's viewpoint. The two calculations agree, as one would expect since special relativity is consistent, and contrary to some misguided impressions, can deal with accelerated reference frames. Many textbooks only look at the problem from the viewpoint of the stay-at-home (inertial) twin. It's really great to see both views explicitly analyzed.
Ch.2 Special Relativity and Physical Laws [45-79]:
2.1 Invariants and physical law
2.2. Laws of mechanics
2.3 Laws of electromagnetism
Ch. 3 Geometry and Curved Spacetime [80-109]:
3.1 Line elements and differential geometry
3.2 Metrics and connections
3.3 Geodesics
3.4 Curvature
Ch. 4 General Relativity and Gravitation [110-143]:
4.1 Founding principles of GR
4.2 Basic ingredients (energy-momentum tensor, Einstein tensor)
4.3 Einstein's field equations and geodesic motion
Includes the Weak Equivalence principle, Strong Equivalence Principle, Principle of General Covariance.
Ch. 5 Schwarzschild Spacetime [144-170]:
5.1 Metric
5.2 Properties
5.3 Coordinates and measurements
5.4 Geodesic motion
Ch. 6 Black Holes [171 - 203]:
6.1 Introduction
6.2 Non-rotating black holes
6.3 Rotating black holes
6.4 Quantum mechanics and black holes (has brief discussion of Hawking radiation)
Ch 7 Testing General Relativity [204-233], including gravitational waves (7.4).
Ch 8 Relativistic Cosmology [234 - 276]:
8.1 Basic principles and supporting observations
8.2 Robertson-Walker spacetime
8.3 Friedmann equations and cosmic evolution
8.4 Friedmann-Robertson-Walker models and observations
____________________________________________________________
Features I think particularly helpful for self-study:
1. Very clear, reader-friendly exposition, including chapter summaries.
2. Full solutions to all problems [pp 279-306].
3. Stresses key concepts and overall logic and physical motivation.
One will not get lost in a swamp of minutiae (as can happen with Hartle, which is a very fine book too but for many, too ponderous as a first exposure) nor sunk by a barrage of difficult mathematics (as can happen with, e.g. Schutz or D'Inverno, at least for autodidacts with limited background in math or physics).
Example: contains a nice, easy to understand discussion of why Newtonian gravity is not Lorentz invariant and later a nice exposition of Newtonian gravity as a field theory, which general relativity must reduce to in the Newtonian limit.
4. Very nicely produced with many helpful and attractively produced diagrams. [For me, visually nice diagrams make it easier to understand explanations and also make studying fun. I'm sensitive to how a book looks and have "aging eyes" so appreciate books with a lot of white space and good contrast.]
Physics or mathematics majors might feel this book is either too superficial or not rigorous enough in some places but for those who want to ease into general relativity and then move on to harder or more complete books such as Hartle, Schutz or D'Inverno, this is about as good as it gets.
Other than this book, in my view the three best books for self-study at an introductory level are:
1. Cheng's Relativity, Gravitation and Cosmology: A Basic Introduction (Oxford Master Series in Physics)
2. Hartle's Gravity: An Introduction to Einstein's General Relativity
3. Schutz's A First Course in General Relativity
Cheng and Hartle are roughly at the same level of difficulty. I like the succinctness, organization, rigor and overall clarity of Cheng. It also includes answers to selected problems. Hartle, on the other hand, is wordier ("physics first'!) and has no solutions to exercises. I have used Hartle mostly as a reference and found it very helpful on many topics. Schutz is significantly more demanding, mainly because the mathematics is more abstract, but it's generally clearly written. The 1st edition of Schutz contains answers or hints to some problems but the newer edition does not. Overall, then, for the next step up from Lambourne, I think Cheng is the best choice.
14 of 14 people found the following review helpful.
So far so good!
By Remus
I bought this book as a teaser before attending the relativity course with Open University UK, as this book is material for the course. I trusted this book would help me learn relativity in advance of the course, and I was not wrong. As a matter of fact, all the course material from OU proved comprehensive; without these courses I would have not been able to understand quantum mechanics, differential equations, simple relativity and, until now - some general relativity (as I did not finish this book yet).
Most probably you will not be able to successfully get through this material unless you already have advanced mathematical knowledge at undergraduate level (differential equations, matrices, vector spaces etc...).
What I appreciate very much about this book is that it introduces four vectors and four tensors in a "gentle" manner, your understanding of these notions comes up naturally while reading the book and learning the physics behind the pages, being less worried about the math. I am currently reading the end of the third chapter, learning about space curvature and the Reimann tensor. So far so good!
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