**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

**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.

(

**9494**views)

**Beyond partial differential equations: A course on linear and quasi-linear abstract hyperbolic evolution equations**

by

**Horst R. Beyer**-

**arXiv**

This course introduces the use of semigroup methods in the solution of linear and nonlinear (quasi-linear) hyperbolic partial differential equations, with particular application to wave equations and Hermitian hyperbolic systems.

(

**14053**views)

**Introduction to relativistic astrophysics and cosmology through Maple**

by

**V. L. Kalashnikov**-

**arXiv**

The author presents the pedagogical introduction to relativistic astrophysics and cosmology, which is based on computational and graphical resources of Maple 6. The knowledge of basics of general relativity and differential geometry is supposed.

(

**16620**views)

**Mathematical Relativity**

by

**José Natário**-

**arXiv**

These are lecture notes written for a one-semester course in mathematical relativity aimed at mathematics and physics students. Not meant as an introduction to general relativity, but rather as a complementary, more advanced text.

(

**894**views)