Linear Potentials and Galactic Rotation Curves

Details Linear Potentials and Galactic Rotation Curves Linear Potentials and Galactic Rotation Curves

1992-12-22

arxiv.org/abs/hep-ph/9212304v1

Astrophys.J. 419 (1993) 150-154

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages (1 figure requestable), UCONN-92-3

Scientific paper

10.1086/173468

We derive a simple, closed form expression for the potential of a thin exponential disk of stars interacting through gravitational potentials of the form $V(r)=-\beta /r+\gamma r/2$, the potential associated with fundamental sources in the fourth order conformal invariant theory of gravity which has recently been advanced by Mannheim and Kazanas as a candidate alternative to the standard second order Einstein theory. Using the model, we obtain a reasonable fit (flat to within $\pm3\%$) to the (prototypical) NGC3198 $HI$ rotation curve data without the need for any non-luminous or dark matter. Our study suggests that th observed flatness of rotation curves may only be an intermediate phenomenon, and an asymptotic one.

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