**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

**General Relativity Without Calculus**

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.

(

**7014**views)

**General Relativity**

by

**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.

(

**9393**views)

**An Introduction to the Theory of Rotating Relativistic Stars**

by

**Eric Gourgoulhon**-

**arXiv**

These notes introduce the theory of rotating stars in general relativity. The focus is on the theoretical foundations, with a detailed discussion of the spacetime symmetries, the choice of coordinates and the derivation of the equations of structure.

(

**8889**views)

**Vector Analysis and the Theory of Relativity**

by

**Francis Dominic Murnaghan**-

**Johns Hopkins press**

This monograph is the outcome of lectures delivered to the graduate department of mathematics of The Johns Hopkins University. Considerations of space have made it somewhat condensed in form, but the mode of presentation is sufficiently novel.

(

**11567**views)