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.
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A single-function deformation of 3D eta-Einstein metrics produces 4D Einstein spacetimes sourced by a string cloud, covering FLRW, Kantowski-Sachs, LRS Bianchi, Taub-NUT-(A)dS, and Reissner-Nordstrom-(A)dS solutions with spherical, planar or hyperbolic symmetry.
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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.
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Geometric deformations of symmetric spacetimes with a string cloud
A single-function deformation of 3D eta-Einstein metrics produces 4D Einstein spacetimes sourced by a string cloud, covering FLRW, Kantowski-Sachs, LRS Bianchi, Taub-NUT-(A)dS, and Reissner-Nordstrom-(A)dS solutions with spherical, planar or hyperbolic symmetry.