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 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 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.
by Jose Natario - Springer
This book was written as a guide for a one week course aimed at exceptional students in their final years of secondary education. The course was intended to provide a quick but nontrivial introduction to Einstein's general theory of relativity.
by Pankaj S. Joshi, Daniele Malafarina - arXiv
The research of recent years has provided considerable clarity and insight on stellar collapse, black holes and the nature and structure of spacetime singularities. In this text, the authors discuss several of these developments here.