General Covariance and the Foundations of General Relativity
by John D Norton
Publisher: University of Pittsburgh 1993
Number of pages: 71
This text reviews the development of Einstein's thought on general covariance (the fundamental physical principle of his general theory of relativity), its relation to the foundations of general relativity and the evolution of the continuing debate over his viewpoint.
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by Neil Lambert - King's College London
Contents: Introduction; Manifolds and Tensors; General Relativity (Derivation, Diffeomorphisms as Gauge Symmetries, Weak Field Limit, Tidal Forces, ...); The Schwarzchild Black Hole; More Black Holes; Non-asymptotically Flat Solutions.
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This article is an introduction to causal properties of General Relativity. Topics include the Raychaudhuri equation, singularity theorems of Penrose and Hawking, the black hole area theorem, topological censorship, and the Gao-Wald theorem.
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A classic of physics -- the first systematic presentation of Einstein's theory of relativity. Long one of the standard texts in the field, this excellent introduction probes deeply into Einstein's general relativity, gravitational waves and energy.