Van Stockum–Bonnor Spacetimes of Rigidly Rotating Dust
نویسندگان
چکیده
We discuss different classes of van Stockum spacetimes which are stationary and axisymmetric spacetimes of dust rotating rigidly on trajectories of the time translation Killing vector. The flow has no Newtonian limit. Asymptotically flat solutions are not physically viable. As an example we construct a sequence of asymptotically flat internal multipolar solutions. The corresponding sequence of smooth internal multipolar solutions might be matched onto external vacuum and asymptotically Kerr metrics. We give an argument for the existence of a class of finite mass spacetimes with compact hypersurfaces of constant time homeomorphic to S × S.
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