**Partial Differential Equations of Physics**

by Robert Geroch

**Publisher**: arXiv 1996**Number of pages**: 57

**Description**:

All partial differential equations that describe physical phenomena in space-time can be cast into a universal quasilinear, first-order form. We describe some broad features of systems of differential equations so formulated. Examples of such features include hyperbolicity of the equations, constraints and their roles, how diffeomorphism freedom is manifest, and how interactions between systems arise and operate.

Download or read it online for free here:

**Download link**

(500KB, 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.

(

**7059**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.

(

**5731**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.

(

**4807**views)

**Lecture Notes on General Relativity**

by

**Matthias Blau**-

**Universitaet Bern**

The first half of the book is dedicated to developing the machinery of tensor calculus and Riemannian geometry required to describe physics in a curved space time. We will then turn to various applications of General Relativity.

(

**9214**views)