by Benjamin Crowell
Publisher: lightandmatter.com 2010
Number of pages: 334
This is an undergraduate textbook on general relativity. The book is meant to be especially well adapted for self-study, and answers are given in the back of the book for almost all the problems. The ratio of conceptual to mathematical problems is higher than in most books.
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by Tevian Dray - Oregon State University
The manuscript emphasizes the use of differential forms, rather than tensors, which are barely mentioned. The focus is on the basic examples, namely the Schwarzschild black hole and the Friedmann-Robertson-Walker cosmological models.
by J.L. Jaramillo, E. Gourgoulhon - arXiv
We present an introduction to mass and angular momentum in General Relativity. After briefly reviewing energy-momentum for matter fields, first in the flat Minkowski case (Special Relativity) and then in curved spacetimes with or without symmetries.
by Eric Poisson - University of Guelph
These lecture notes are suitable for a one-semester course at the graduate level. Table of contents: Fundamentals; Geodesic congruences; hypersurfaces; Lagrangian and Hamiltonian formulations of general relativity; Black holes.
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.