Cartan Topology for the Galaxies

Michal Wagman , Larry Horwitz*
Ariel University
*Tel Aviv University, Bar-Ilan University, Ariel University

Dark matter has been proposed as a solution for the problem of the

galaxy rotation curves that are not in agreement with Newton's law of

gravitation. Since it has been difficult to establish the nature of

the dark matter, Milgrom proposed a modification of Newton's law

(MOND) that has been effective, and Bekenstein and Milgrom found a

modification of Einstein's theory which was consistent with MOND. In

the work we present here, we discuss topological aspects of Cartan's

geometry (Kiehn, Kiehn and Baldwin) which could explain the

restriction of the modified geometry to the galaxy and admit the

Einstein structure in the exterior region, as is apparently observed,

through the existence of topologically disconnected regions.

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