**The Geometry of General Relativity**

by Tevian Dray

**Publisher**: Oregon State University 2014**Number of pages**: 158

**Description**:

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. The material should be suitable for both advanced undergraduates and beginning graduate students in both mathematics and physics.

Download or read it online for free here:

**Read online**

(online html)

## Similar books

**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.

(

**5830**views)

**General Relativity Notes**

by

**Edmund Bertschinger**-

**MIT**

Working with GR requires some understanding of differential geometry. In this text we will develop the essential mathematics needed to describe physics in curved spacetime. These notes assume familiarity with special relativity.

(

**12144**views)

**Recent Developments in Gravitational Collapse and Spacetime Singularities**

by

**Pankaj S. Joshi, Daniele Malafarina**-

**arXiv**

The research of recent years has provided considerable clarity and insight on stellar collapse, black holes and the nature and structure of spacetime singularities. In this text, the authors discuss several of these developments here.

(

**11035**views)

**Lecture Notes on General Relativity**

by

**Sean M. Carroll**-

**University of California**

Lecture notes on introductory general relativity for beginning graduate students in physics. Topics include manifolds, Riemannian geometry, Einstein's equations, and three applications: gravitational radiation, black holes, and cosmology.

(

**15607**views)