**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 General Relativity**

by

**Gerard 't Hooft**-

**Rinton Press**

The book presents the general relativity as a scheme for describing the gravitational field and the equations it obeys. Starting from physical motivations, curved coordinates are introduced, and then the notion of an affine connection field is added.

(

**10810**views)

**Gravitational Waves and Black Holes: an Introduction to General Relativity**

by

**J.W. van Holten**-

**arXiv**

General relativity is outlined as the classical field theory of gravity, emphasizing physical phenomena rather than mathematical formalism. Dynamical solutions representing traveling waves and stationary fields of black holes are discussed.

(

**9023**views)

**An Advanced Course in General Relativity**

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.

(

**7987**views)

**Dynamical and Hamiltonian Formulation of General Relativity**

by

**Domenico Giulini**-

**arXiv.org**

This text introduces the reader to the reformulation of Einstein's field equations of General Relativity as a constrained evolutionary system of Hamiltonian type and discusses some of its uses, together with some technical and conceptual aspects.

(

**2626**views)