van Stockum--Bonnor Spacetimes of Rigidly Rotating Dust

Details van Stockum--Bonnor Spacetimes of Rigidly Rotating Dust van Stockum--Bonnor Spacetimes of Rigidly Rotating Dust

2006-03-29

arxiv.org/abs/astro-ph/0603791v4

Phys.Rev.D75:107502,2007

Astronomy and Astrophysics

Astrophysics

v2: typos corrected, v3: removed comments on C&T model (updated and transfered to a separate paper) v4: new class of solutions

Scientific paper

10.1103/PhysRevD.75.107502

Stationary, axisymmetric and asymptotically flat spacetimes of dust of which trajectories are integral curves of the time translation Killing vector are investigated. The flow has no Newtonian limit. Asymptotic flatness implies the existence of singularities of the curvature scalar that are distributions and that are not isolated from regularity regions of the flow. The singularities are closely related to the presence of additional stresses that contribute negative active mass to the total (Komar) mass, which is zero for asymptotically flat spacetimes. Several families of solutions are constructed and a multipole expansion is presented.

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