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 Shlomo Sternberg
Course notes for an introduction to Riemannian geometry and its principal physical application, Einstein’s theory of general relativity. The background assumed is a good grounding in linear algebra and in advanced calculus.
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General relativity is outlined as the classical field theory of gravity, emphasizing physical phenomena rather than mathematical formalism. Dynamical solutions representing traveling waves and stationary fields of black holes are discussed.
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General relativity has a reputation of being extremely difficult. This introduction is a very pragmatic affair, intended to give you some immediate feel for the language of GR. It does not substitute for a deep understanding -- that takes more work.