Type-D vacuum solutions with cosmological constant

Physics

Scientific paper

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Cosmology, Metric Space, Orbital Elements, Vacuum, Canonical Forms, Coordinate Transformations

Scientific paper

All type-D vacuum (nonnull-orbit and null-orbit) solutions with lambda are exhibited in canonical coordinates. The nonnull-orbit metrics with lambda contain four families of solutions: the static Levi-Civitametrics, the nondiverging Ds, the diverging Ds, and the diverging and twisting solutions. The null-orbit metrics subdivide into two subclasses of solutions: the divergenceless null-orbit Ds, and the diverging and twisting null-orbit solution.

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