A solution for galactic disks with Yukawian gravitational potential |
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Authors: | J C N de Araujo O D Miranda |
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Institution: | 1.Divis?o de Astrofísica,Instituto Nacional de Pesquisas Espaciais,S?o José dos Campos,Brazil |
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Abstract: | We present a new solution for the rotation curves of galactic disks with gravitational potential of the Yukawa type. We follow
the technique employed by Toomre in 1963 in the study of galactic disks in the Newtonian theory. This new solution allows
an easy comparison between the Newtonian solution and the Yukawian one. Therefore, constraints on the parameters of theories
of gravitation can be imposed, which in the weak field limit reduce to Yukawian potentials. We then apply our formulae to
the study of rotation curves for a zero-thickness exponential disk and compare it with the Newtonian case studied by Freeman
in 1970. As an application of the mathematical tool developed here, we show that in any theory of gravity with a massive graviton
(this means a gravitational potential of the Yukawa type), a strong limit can be imposed on the mass (m
g) of this particle. For example, in order to obtain a galactic disk with a scale length of b∼ 10 kpc, we should have a massive graviton of m
g ≪ 10−59g. This result is much more restrictive than those inferred from solar system observations. |
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