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GR: Gravitation und Relativitätstheorie
GR IX: HV IX
GR IX.1: Hauptvortrag
Donnerstag, 20. März 1997, 10:25–11:05, HS 133
The rigidly rotating disk of dust: Black Hole limit — •Reinhard Meinel — Theoretisch–Physikalisches Institut der Universität Jena, Max–Wien–Platz 1, D-07743 Jena
Within Newton’s theory of gravitation, a rigidly rotating disk of dust, for fixed angular momentum, can have an arbitrary large mass. In Einstein’s theory, the maximum mass M is given by Mmax = (cJ/G)1/2 where J is the angular momentum, c the velocity of light, and G Newton’s gravitational constant. For M→ Mmax the solution of Einstein’s field equations describing the rigidly rotating disk of dust [1] approaches exactly the extreme Kerr solution, i.e., a maximally rotating black hole.
[1] G. Neugebauer, R. Meinel, Phys. Rev. Lett. 75, 3046 (1995)