Lecture Notes on General Relativity
by Matthias Blau
Publisher: Universitaet Bern 2014
Number of pages: 928
The first half of this course will be dedicated to developing the machinery (of tensor calculus and Riemannian geometry) required to describe physics in a curved space time, i.e. in a gravitational field. In the second half of this course, we will then turn to various applications of General Relativity. Foremost among them is the description of the classical predictions of General Relativity and their experimental verification.
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by Sergei Winitzki - Google Sites
Topics include: Asymptotic structure of spacetime, conformal diagrams, null surfaces, Raychaudhury equation, black holes, the holographic principle, singularity theorems, Einstein-Hilbert action, energy-momentum tensor, Noether's theorem, etc.
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.
by Neil Lambert - King's College London
This course is meant as introduction to what is widely considered to be the most beautiful and imaginative physical theory ever devised: General Relativity. It is assumed that you have a reasonable knowledge of Special Relativity as well as tensors.
by John D Norton - University of Pittsburgh
This text reviews the development of Einstein's thought on general covariance (the fundamental physical principle of GTR), its relation to the foundations of general relativity and the evolution of the continuing debate over his viewpoint.