Steadily rotating perfect-fluid gravitating prolate spheroids in Weyl gravity

Computer Science

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Scientific paper

It is shown that the equations of hydrodynamics do not admit solutions describing gravitating, incompressible, perfect fluid, prolate spheroids within the context of Weyl gravity, i.e. a theory whose static, spherically symmetric solution admits, besides the usual 1/r potential, an additional linear one, which has been invoked to solve the galactic rotation curve problem without the introduction of `dark matter'. This extends the similar, recent result obtained by Florides and Spyrou within Newtonian gravity to this alternative gravitational theory.

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