We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Schwarzschild and Kerr solutions of Einstein's field equation: An Introduction.
- Authors
Heinicke, Christian; Hehl, Friedrich W.
- Abstract
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 momentum take on prescribed values. Its metric can be interpreted as the exterior gravitational field of a suitably rotating mass distribution. Both solutions describe objects exhibiting an event horizon, a frontier of no return. The corresponding notion of a black hole is explained to some extent. Eventually, we present some generalizations of the Kerr solution.
- Subjects
NUMERICAL solutions to Einstein field equations; SCHWARZSCHILD metric; SYMMETRY breaking; GRAVITATION; ANGULAR momentum (Mechanics)
- Publication
International Journal of Modern Physics D: Gravitation, Astrophysics & Cosmology, 2015, Vol 24, Issue 2, p-1
- ISSN
0218-2718
- Publication type
Article
- DOI
10.1142/S0218271815300062