This textbook fills a gap in the existing literature on general relativity by providing the advanced student with practical tools for the computation of many physically interesting quantities. The context is provided by the mathematical theory of black holes, one of the most successful and relevant applications of general relativity. Topics covered include congruences of timelike and null geodesics, the embedding of spacelike, timelike and null hypersurfaces in spacetime, and the Lagrangian and Hamiltonian formulations of general relativity.
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Editorial Reviews
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"This book amply fulfills its promise: its coverage is sufficiently complete to enable a dedicated reader to undertake sophisticated calculations with confidence and it even provides a reference to a handy computer package for tensor manipulations... an elegant, thoughtful, useful and altogether commendable timely publication." Contemporary Physics
Book Description
This textbook fills a gap in the existing literature on general relativity by providing the advanced student with practical tools for the computation of many physically interesting quantities. The context is provided by the mathematical theory of black holes, one of the most elegant, successful and relevant applications of general relativity. Topics discussed include congruences of timelike and null geodesics, the embedding of spacelike, timelike and null hypersurfaces in spacetime, and the Lagrangian and Hamiltonian formulations of general relativity. Suitable for graduate students and researchers in gravitational physics.
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2 of 2 people found the following review helpful:
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Excellent At What It's Meant To Do,
By Marcus (California, USA) - See all my reviews
This review is from: A Relativist's Toolkit: The Mathematics of Black-Hole Mechanics (Paperback)
As the book title suggests, this is not an introduction to general relativity. However, with a basic understanding of general relativity and differential geometry, this book can be a very rewarding read. There are many other text books that cover the same material, but only superficially. This book fills in the gaps and provides the details that are indispensable for anyone doing research in the field or just seeking a deep understanding of general relativity. Explanations are concise and clear, with a logic that is sound and well-organzied. The chapter on the Lagrangian and Hamiltonian formulations of general relativity is the best I have seen in any book published so far; it provides the details that Wald and Carroll either neglect or gloss over in their textbooks. I only wish the book covered a few more topics. With only 250 pages, it can stand the addition of a few more chapters, perhaps on modified theories of gravity, initial value formulation, or advanced methods for solving the Einstein field equations.
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Inside This Book
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First Sentence:
This first chapter is devoted to a brisk review of the fundamentals of differential geometry. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
focusing theorem, null generators, null energy condition, null shell, ingoing null geodesics, null dust, reference geodesic, null vector field, outgoing null geodesics, directed surface element, extrinsic curvature, null hypersurface, neighbouring geodesics, hypersurface orthogonal, outgoing light rays, apparent horizon, timelike geodesics, strong energy condition, affine parameter, weak energy condition, specified coordinate system, only nonvanishing component, stationary spacetime, shear tensor, stationary black holes Key Phrases - Capitalized Phrases (CAPs): (learn more)
Substituting Eqs, Problems Warning, Werner Israel New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
This first chapter is devoted to a brisk review of the fundamentals of differential geometry. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
focusing theorem, null generators, null energy condition, null shell, ingoing null geodesics, null dust, reference geodesic, null vector field, outgoing null geodesics, directed surface element, extrinsic curvature, null hypersurface, neighbouring geodesics, hypersurface orthogonal, outgoing light rays, apparent horizon, timelike geodesics, strong energy condition, affine parameter, weak energy condition, specified coordinate system, only nonvanishing component, stationary spacetime, shear tensor, stationary black holes Key Phrases - Capitalized Phrases (CAPs): (learn more)
Substituting Eqs, Problems Warning, Werner Israel 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 16
books:
See all 16 books this book cites
- General Relativity by Robert M. Wald in Table of Contents, and Back Matter
- Dynamical Systems in Cosmology by J. Wainwright in Back Matter
- Black Hole Uniqueness Theorems (Cambridge Lecture Notes in Physics) by Markus Heusler in Back Matter
- The Mathematical Theory of Black Holes (Oxford Classic Texts in the Physical Sciences) by the late S. Chandrasekhar in Back Matter
- Black Holes: The Membrane Paradigm (The Silliman Memorial Lectures Series) by Kip S. Thorne in Back Matter
See all 16 books this book cites
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