Mathematics – Logic
Scientific paper
Aug 2005
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005pasc.conf...85s&link_type=abstract
PASCOS 2004 Part I: Particles, Strings and Cosmology* Part II: Themes in Unification -- The Pran Nath Festschrift†. *,†Proceedin
Mathematics
Logic
Scientific paper
The late infall of cold dark matter onto an isolated galaxy, such as our own, produces discrete flows and caustics in its halo. The set of caustics includes simple fold catastrophes located on topological spheres surrounding the galaxy, and a series of caustic rings in or near the galactic plane. The caustic rings are closed tubes whose cross-section is an elliptic umbilic catastrophe. The self-similar model of galactic halo formation predicts that the caustic ring radii an follow the approximate law an ~ 1/n. In a study of 32 extended and well-measured external galactic rotation curves evidence was found for this law. Also, the locations of ten sharp rises in the rotation curve of the Milky Way fit the prediction of the self-similar model at the 3% level. Moreover, a triangular feature in the IRAS map of the Galactic plane is consistent with the imprint of a ring caustic upon the baryonic matter. These observations imply that the dark matter in our neighborhood is dominated by a single flow. Estimates of that flow's density and velocity vector are given.
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