**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

**The Geometry of General Relativity**

by

**Tevian Dray**-

**Oregon State University**

The manuscript emphasizes the use of differential forms, rather than tensors, which are barely mentioned. The focus is on the basic examples, namely the Schwarzschild black hole and the Friedmann-Robertson-Walker cosmological models.

(

**7935**views)

**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.

(

**7430**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.

(

**5464**views)

**Neutrosophic Methods in General Relativity**

by

**D. Rabounski, F. Smarandache, L. Borissova**-

**Hexis**

Neutrosophy is a theory developed by Florentin Smarandache in 1995, which studies the nature and properties of neutralities. This book applies neutrosophic method to the General Theory of Relativity, aiming to discover new effects hidden before.

(

**6340**views)