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

@article{Heinicke2015SchwarzschildAK,
title={Schwarzschild and Kerr Solutions of Einstein's Field Equation -- an introduction},
author={C. Heinicke and Friedrich W. Hehl . Inst. Theor. Physics and U. Cologne and Germany. and Dept. PhysicsAstron. and U. Missouri and Columbia and Usa},
journal={International Journal of Modern Physics D},
year={2015},
volume={24},
pages={1530006}
}

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. The Schwarzschild solution is unique and its metric can be interpreted as the exterior gravitational field of a spherically symmetric mass. The Kerr solution is only unique if the multipole moments of its mass and its angular… CONTINUE READING