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Even if complicated, can the gravitational field of a uniform toroid of radii $R$ and $r$ be calculated with the Gauss theorem? I know that we can guess the gravitational field of a RING but I have never seen if the field of an axisymmetric doughnut can be estimated with the aid of the Gauss flux theorem. Can it be done?

Qmechanic
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riemannium
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