Gravitational potentials of triaxial ellipsoids in Weyl gravity. (Q5955368)

The authors have presented analytic expressions for the gravitational potentials associated with triaxial ellipsoids, spheroids, spheres and disks in Weyl gravity. The gravitational potentials of these configurations in Newtonian gravity are well known in the literature. As an application, Euler's equations pertaining to incompressible rotating fluids have been solved analytically. It turns out that as in the case of Newtonian gravity, homogeneous prolate configurations are not allowed within Weyl gravity either.