**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:

**Download link**

(1.4MB, PDF)

## Similar books

**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.

(

**7371**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.

(

**7585**views)

**Advanced General Relativity**

by

**Neil Lambert**-

**King's College London**

Contents: Introduction; Manifolds and Tensors; General Relativity (Derivation, Diffeomorphisms as Gauge Symmetries, Weak Field Limit, Tidal Forces, ...); The Schwarzchild Black Hole; More Black Holes; Non-asymptotically Flat Solutions.

(

**5180**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.

(

**6823**views)