General RelativityUniversity of Chicago Press, 2010 M05 15 - 506 páginas "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 asymptotically flat black hole Cauchy surface causal curve chapter components condition conjugate coordinate basis coordinate system curvature curved spacetime defined definition denote density derivative operator diffeomorphism dual vector Einstein's equation energy exists finite flat spacetime function gauge geometry given globally hyperbolic gravitational field horizon hypersurface inertial inextendible infinity initial data initial value formulation integral isometry Kerr Killing field Klein-Gordon linear Lorentz manifold mass Maxwell's equations metric gab Minkowski spacetime Newtonian notion null geodesic observer obtain orbit orthogonal parameter particle physical Poincaré group properties quantum field radiation region satisfies scalar Schwarzschild solution singularity smooth spacelike spacetime metric spatial special relativity spherical spinor stationary structure symmetry tangent tensor field tensor of type theorem timelike curve timelike geodesics topology transformation universe vacuum vanishes vector field vector space