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http://arxiv.org/abs/astro-ph/0602519
Authors: H. Balasin, D. Grumiller
Comments: 11 pages revtex4, 4 eps figures
Report-no: LU-ITP 2006/002
Exact stationary axially symmetric solutions of the 4D Einstein equations with co-rotating pressureless perfect fluid sources are studied. This is of physical relevance for the dynamics of galaxies and questions concerning dark matter. A particular solution with approximately flat rotation curve is discussed in some detail. We find that simple Newtonian arguments over-estimate the amount of matter needed to explain these curves by more than 30%.
Authors: H. Balasin, D. Grumiller
Comments: 11 pages revtex4, 4 eps figures
Report-no: LU-ITP 2006/002
Exact stationary axially symmetric solutions of the 4D Einstein equations with co-rotating pressureless perfect fluid sources are studied. This is of physical relevance for the dynamics of galaxies and questions concerning dark matter. A particular solution with approximately flat rotation curve is discussed in some detail. We find that simple Newtonian arguments over-estimate the amount of matter needed to explain these curves by more than 30%.