Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Linear Potentials and Galactic Rotation Curves   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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The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
2
The categories of this paper are: math
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
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The categories of this paper are: stat
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The categories of this paper are: adap-org
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The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol