
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
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.
(25391 views)
A No-Nonsense Introduction to General Relativityby Sean M. Carroll
General relativity has a reputation of being extremely difficult. This introduction is a very pragmatic affair, intended to give you some immediate feel for the language of GR. It does not substitute for a deep understanding -- that takes more work.
(11454 views)
Complex Geometry of Nature and General Relativityby Giampiero Esposito - arXiv
An attempt is made of giving a self-contained introduction to holomorphic ideas in general relativity, following work over the last thirty years by several authors. The main topics are complex manifolds, spinor and twistor methods, heaven spaces.
(18782 views)
Mathematical Relativityby José Natário - arXiv
These are lecture notes written for a one-semester course in mathematical relativity aimed at mathematics and physics students. Not meant as an introduction to general relativity, but rather as a complementary, more advanced text.
(2756 views)