Light Rays, Singularities, and All That
by Edward Witten
Publisher: arXiv.org 2019
Number of pages: 105
Description:
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.
Download or read it online for free here:
Download link
(2.1MB, PDF)
Similar books
Beyond partial differential equations: A course on linear and quasi-linear abstract hyperbolic evolution equationsby Horst R. Beyer - arXiv
This course introduces the use of semigroup methods in the solution of linear and nonlinear (quasi-linear) hyperbolic partial differential equations, with particular application to wave equations and Hermitian hyperbolic systems.
(16060 views)
General Relativityby Benjamin Crowell - lightandmatter.com
This is an undergraduate textbook on general relativity. It is 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.
(14431 views)
Introduction to Differential Geometry and General Relativityby Stefan Waner
Smooth manifolds and scalar fields, tangent vectors, contravariant and covariant vector fields, tensor fields, Riemannian manifolds, locally Minkowskian manifolds, covariant differentiation, the Riemann curvature tensor, premises of general relativity.
(24939 views)
Post-Newtonian Theory for the Common Readerby Eric Poisson - University of Guelph
From the table of contents: Preliminaries; Integration techniques; First post-Minkowskian approximation; Second post-Minkowskian approximation; Equations of motion; Gravitational waves; Energy radiated and radiation reaction.
(11787 views)