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 Arthur Stanley Eddington - Cambridge University Press
The author gives an account of general relativity theory without introducing anything very technical in the way of mathematics, physics, or philosophy. It is hoped that the book may also appeal to those who have gone into the subject more deeply.
by Edward Witten - arXiv.org
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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The first half of the book is dedicated to developing the machinery of tensor calculus and Riemannian geometry required to describe physics in a curved space time. We will then turn to various applications of General Relativity.