**Schwarzschild and Kerr Solutions of Einstein's Field Equation: an introduction**

by Christian Heinicke, Friedrich W. Hehl

**Publisher**: arXiv 2015**Number of pages**: 96

**Description**:

Starting from Newton's gravitational theory, we give a general introduction into the spherically symmetric solution of Einstein's vacuum field equation, the Schwarzschild(-Droste) solution, and into one specific stationary axially symmetric solution, the Kerr solution.

Download or read it online for free here:

**Download link**

(2.7MB, PDF)

## Similar books

**Space, Time and Gravitation: An Outline of the General Relativity Theory**

by

**Arthur Stanley Eddington**-

**Cambridge University Press**

The author gives an account of general relativity theory without introducing anything very technical in the way of mathematics, physics, or philosophy. It is hoped that the book may also appeal to those who have gone into the subject more deeply.

(

**9802**views)

**Metric Relativity and the Dynamical Bridge: highlights of Riemannian geometry in physics**

by

**Mario Novello, Eduardo Bittencourt**-

**arXiv**

We present an overview of recent developments concerning modifications of the geometry of space-time to describe various physical processes of interactions among classical and quantum configurations. We concentrate in two main lines of research...

(

**2472**views)

**Introduction to Differential Geometry and General Relativity**

by

**Stefan Waner**

Smooth manifolds and scalar fields, tangent vectors, contravariant and covariant vector fields, tensor fields, Riemannian manifolds, locally Minkowskian manifolds, covariant differentiation, the Riemann curvature tensor, premises of general relativity.

(

**18427**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.

(

**8551**views)