A construction of 4D spacetimes from 3D contact manifolds with degenerate metrics yields Einstein solutions with null dust and cosmic strings, including two arbitrary density functions.
Geiges, Expositiones Mathematicae19, 25 (2001)
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Spacetime constructed from a contact manifold with a degenerate metric
A construction of 4D spacetimes from 3D contact manifolds with degenerate metrics yields Einstein solutions with null dust and cosmic strings, including two arbitrary density functions.