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Is Galaxy Dark Matter a Property of Spacetime?

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Abstract

We describe the motion of a particle in acentral field in an expanding universe. Use is made ofa double expansion in 1/c and 1/τ, where c and τare the speed of light and the Hubble time. In thelowest approximation the rotational velocity is shownto satisfy v4 = 2/3 GMcH0, whereG is Newton's gravitational constant, M is the mass ofthe central body (galaxy), and H0 is theHubble constant. This formula satisfies observations of stars moving inspiral and elliptical galaxies, and is in accordancewith the familiar Tully–Fisher law.

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Authors
  1. Moshe Carmeli
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Carmeli, M. Is Galaxy Dark Matter a Property of Spacetime?. International Journal of Theoretical Physics 37, 2621–2625 (1998). https://doi.org/10.1023/A:1026672604958

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