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This was my guess as to what they would look like:

[tex]\nabla \cdot \mathbf{g} = -4\pi G\rho [/tex]

[tex]\nabla \cdot \mathbf{b} = 0[/tex]

[tex]\nabla \times \mathbf{g} = -\frac{\partial \mathbf{b}}{\partial t}[/tex]

[tex]c^2~\nabla \times \mathbf{b} = \frac{\partial \mathbf{g}}{\partial t}-4\pi G\mathbf{J}[/tex]

where g is the standard gravitational field, b is the "gravitational magnetic field," and J is the "mass current density" (though I have no idea what that would be).

Anyone have any thoughts?