General Relativity"Wald's book is clearly the first textbook on general relativity with a totally modern point of view; and it succeeds very well where others are only partially successful. The book includes full discussions of many problems of current interest which are not treated in any extant book, and all these matters are considered with perception and understanding."—S. Chandrasekhar "A tour de force: lucid, straightforward, mathematically rigorous, exacting in the analysis of the theory in its physical aspect."—L. P. Hughston, Times Higher Education Supplement "Truly excellent. . . . A sophisticated text of manageable size that will probably be read by every student of relativity, astrophysics, and field theory for years to come."—James W. York, Physics Today |
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appendix associated asymptotically asymptotically flat spacetime basis black hole called causal chapter closed components condition consider constant construct continuous coordinate curvature curve defined definition denote density derivative derivative operator determined directed discussed Einstein's equation element energy exists expressed fact flat follows formulation function future geodesic geometry give given globally gravitational gravitational collapse Hence hold horizon implies infinity initial data integral Killing limit linear Lorentz metric manifold mass matter metric Minkowski spacetime natural Note notion null null vector observer obtain occur ordinary particle past physical positive possible precisely present problem proof properties quantum radiation region relativity represent respect result satisfies Schwarzschild singularity smooth solution space spatial special relativity spinor structure surface symmetry tangent tensor tensor field theorem theory timelike transformation universe vanishes vector field