**On the Construction of new Spacetime Metrics using Partial
Differential Equations**

It is usual to give spacetime metrics by finding special solutions of
Einstein's field equations. Then one sorts out the solutions with
"realistic" properties. Here we want to present another way to construct
spacetime models by using the so called cosmological observer field,
proper time description and PDEs for kinematical invariants (shear,
rotation, expansion, acceleration).

This approach, within the framework of Lorentzian geometry, will give
new classes of models.

*Mike Scherfner*

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