Is Dark Matter a purely Geometric Effect Within the Einstein Equations?

Astronomy and Astrophysics – Astronomy

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Scientific paper

In MNRAS 397,164 (2009) we introduced a new formula that describes the natural pitch variation of all spiral galaxy types using a single shape parameter Φ. r(f) =R/(1-ΦtanΦ log[f /Φ]). What was not stated was that this formula was derived from a solution of the Einstein equations for a new geometric model of dark matter. The Einstein equations responded to the question: "Can matter density be replaced instead by a simple geometry?” The answer was: "Yes, described approximately by a quasi-static negatively-curved 3-space embedded in a nearly-flat 4-dimensional pseudosphere. We call the metric of this space CRW (for Cancel Robertson-Walker). We can show that this space results in stellar motions that account for many arduously derived galactic phenomena including; precise spiral structure, RCs, symmetries, galaxy-type abundances, galactic warping, polar rings and more. There are signature predictions as well. All of these results derive from the unusual orbit behavior permitted in hyperbolic spaces that seem to emulate the properties of dark matter. We will present some insights.

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