General relativity is now essential to the understanding of modern physics, but the power of the theory cannot be exploited fully without a detailed knowledge of its mathematical structure. This book aims to implement this structure, and then to develop those applications that have been central to the growth of the theory.
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"This excellent monograph describes in detail the mathematical structure of Einstein's general theory of relativity, and the mathematical techniques that are associated with it. It is a completely self-contained exposition, which collects many important general results relating to the classical theory that are not readily available in the literature. It will be of great value to anyone who is already familiar with the theory, and who requires a deeper technical knowledge than is presented in most current textbooks." Mathematical Reviews
"...the authors present a book on general relativity which, on one hand, is mathematically rigorous and, on the other hand, contains good physics by emphasizing what is measurable on curved manifolds. Even those readers who are interested in more applications, such as e.g. gravitational lensing, can find all the tools necessary in this book even though this item cannot be found in the index. Thus the book can strongly be recommended to mathematicians and physicists as well." Classical and Quantum Gravity
"This is an excellent book and admirably lives up to the promise implied in its title in giving a thorough treatment of the mathematical structure underlying the theory of general relativity." The Observatory
"...a valuable reference work, particularly for its mathematical introduction and its treatment of the other topics mentioned above." Robert M. Wald, Foundations of Physics
"...provides more in details in various formalisms than do many comparable relativity books. It should prove to be a very good supplementary book for a graduate course on general relativity, or it might serve as a reference book for researchers..." K.K. Lee, Physics in Canada
"...the authors present a book on general relativity which, on one hand, is mathematically rigorous and, on the other hand, contains good physics by emphasizing what is measurable on curved manifolds. Even those readers who are interested in more applications, such as e.g. gravitational lensing, can find all the tools necessary in this book even though this item cannot be found in the index. Thus the book can strongly be recommended to mathematicians and physicists as well." Classical and Quantum Gravity
"This is an excellent book and admirably lives up to the promise implied in its title in giving a thorough treatment of the mathematical structure underlying the theory of general relativity." The Observatory
"...a valuable reference work, particularly for its mathematical introduction and its treatment of the other topics mentioned above." Robert M. Wald, Foundations of Physics
"...provides more in details in various formalisms than do many comparable relativity books. It should prove to be a very good supplementary book for a graduate course on general relativity, or it might serve as a reference book for researchers..." K.K. Lee, Physics in Canada
Book Description
The power of the theory of general relativity cannot be exploited fully without a detailed knowledge of its mathematical structure. This self-contained exposition emphasizes tetrad and spinor structures and physical measurements on curved manifolds.
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First Sentence:
Our theme is general relativity, seen not just as a theory of gravity, but as the expression of an approach to the world in which geometry and physics are united. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
apsidal points, internal rotation group, affine geodesic, tetrad frame, tetrad components, normal neighbourhood, tetrad field, metric source, principal null directions, null rays, null surface, coordinate neighbourhood, rotation coefficients, null geodesics, background geometry, conformal weight, connecting vectors, geodesic motion, geodesic deviation, particle horizon, curvature scalar, metric coefficients, perfect fluid, connection coefficients, fictitious force New!
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Our theme is general relativity, seen not just as a theory of gravity, but as the expression of an approach to the world in which geometry and physics are united. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
apsidal points, internal rotation group, affine geodesic, tetrad frame, tetrad components, normal neighbourhood, tetrad field, metric source, principal null directions, null rays, null surface, coordinate neighbourhood, rotation coefficients, null geodesics, background geometry, conformal weight, connecting vectors, geodesic motion, geodesic deviation, particle horizon, curvature scalar, metric coefficients, perfect fluid, connection coefficients, fictitious force New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 2
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24
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- General Relativity: Proceedings of the Forty Sixth Scottish Universities Summer School in Physics, Aberdeen, July 1995 (Scottish Graduate Series) by G.S Hall in Back Matter (1), and Back Matter (2)
- General Relativity by Robert M. Wald in Back Matter
- Oscillations in Finite Quantum Systems (Cambridge Monographs on Mathematical Physics) by G. F. Bertsch in Front Matter
- Affine Lie Algebras and Quantum Groups: An Introduction, with Applications in Conformal Field Theory (Cambridge Monographs on Mathematical Physics) by Jürgen A. Fuchs in Front Matter
- Moonshine beyond the Monster: The Bridge Connecting Algebra, Modular Forms and Physics (Cambridge Monographs on Mathematical Physics) by Terry Gannon in Front Matter
- Quanta, Logic and Spacetime by S.A. Selesnick in Back Matter
- Global Lorentzian Geometry (Chapman & Hall/CRC Pure and Applied Mathematics) by John K. Beem in Back Matter
See all 24 books citing this book
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