**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

**Post-Newtonian Theory for the Common Reader**

by

**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.

(

**7102**views)

**Schwarzschild and Kerr Solutions of Einstein's Field Equation: an introduction**

by

**Christian Heinicke, Friedrich W. Hehl**-

**arXiv**

Starting from Newton's gravitational theory, we give a general introduction into the spherically symmetric solution of Einstein's vacuum field equation, the Schwarzschild solution, and into one specific stationary solution, the Kerr solution.

(

**5205**views)

**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.

(

**7175**views)

**General Covariance and the Foundations of General Relativity**

by

**John D Norton**-

**University of Pittsburgh**

This text reviews the development of Einstein's thought on general covariance (the fundamental physical principle of GTR), its relation to the foundations of general relativity and the evolution of the continuing debate over his viewpoint.

(

**7218**views)