**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

**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.

(

**3720**views)

**Advanced General Relativity**

by

**Sergei Winitzki**-

**Google Sites**

Topics include: Asymptotic structure of spacetime, conformal diagrams, null surfaces, Raychaudhury equation, black holes, the holographic principle, singularity theorems, Einstein-Hilbert action, energy-momentum tensor, Noether's theorem, etc.

(

**9709**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.

(

**10555**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.

(

**12811**views)