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H. Balasin, D. Grumiller:
"Non-Newtonian behavior in weak field general relativity for extended rotating sources";
International Journal of Modern Physics D (invited), 17 (2008), 475 - 488.

Exact stationary axially symmetric solutions of the 4D Einstein equations with corotating pressureless perfect fluid sources are studied. A particular solution with approximately flat rotation curve is discussed in some detail. We find that simple Newtonian arguments overestimate the amount of matter needed to explain these curves by more than 30%. The crucial insight gained by this model is that the Newtonian approximation breaks down globally, even though it is valid locally everywhere. No conflict with solar system tests arises.

Exact stationary axially symmetric solutions of the 4D Einstein equations with corotating pressureless perfect fluid sources are studied. A particular solution with approximately flat rotation curve is discussed in some detail. We find that simple Newtonian arguments overestimate the amount of matter needed to explain these curves by more than 30%. The crucial insight gained by this model is that the Newtonian approximation breaks down globally, even though it is valid locally everywhere. No conflict with solar system tests arises.

http://dx.doi.org/10.1142/S0218271808012140

http://publik.tuwien.ac.at/files/PubDat_170147.pdf

Project Head Daniel Grumiller:
Nicht-störungstheoretische Aspekte von gebundenen gravitierenden Systemen

Project Head Daniel Grumiller:
Nichtperturbative Aspekte von 2d Dilatongravitation

Project Head Anton Rebhan:
Gravitation, Chern-Simons Erweiterungen, Topologie und Anwendungen in der Festkörperphysik