Revisiting Dark Matter Estimates in Axially Symmetric Galaxies

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SUMMARY

The discussion centers on the analysis of exact stationary axially symmetric solutions of the 4D Einstein equations with co-rotating pressureless perfect fluid sources, as presented by H. Balasin and D. Grumiller. Their findings indicate that simple Newtonian models overestimate the matter required to explain flat rotation curves by over 30%. The authors argue that General Relativity (GR) effects can account for a small but significant fraction of dark matter, challenging previous models that rely on exotic matter. This approach is considered more plausible than the Cooperstock and Tieu model, although concerns about its applicability to large-scale structures remain.

PREREQUISITES
  • Understanding of 4D Einstein equations
  • Familiarity with General Relativity concepts
  • Knowledge of axially symmetric solutions in astrophysics
  • Basic principles of galaxy dynamics and dark matter
NEXT STEPS
  • Research the implications of General Relativity on galaxy dynamics
  • Study the Cooperstock and Tieu model for dark matter accounting
  • Explore the role of pressureless perfect fluids in cosmological models
  • Investigate large-scale structures in the universe and their relation to dark matter
USEFUL FOR

Astronomers, astrophysicists, and researchers focused on galaxy dynamics and dark matter theories will benefit from this discussion.

wolram
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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%.
 
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That's very interesting. Basically, they've done an analysis similar to that of Cooperstock and Tieu (the "GR accounting for dark matter" folks), but avoiding all of the "exotic matter" and "singular disk" problems. They find that GR effects can account for a small (~30 percent), but non-negligible, fraction of the dark matter. I must admit, it's still surprising to me that GR would be necessary at all in this limit, but I find this result to be much more plausible than the Cooperstock one.
 
Agreed, ST. It is a plausible approach. However, I question how well it would work with large scale structures.
 

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