Question about General Relativity

Assume there are only two objects in the entire universe.
Let the first object have mass m1 and have motion described by the
equations x=f1(t), y=f2(t) and z=f3(t). Let their rotational motion be
described by f4(t), f5(t), and f6(t).

Similarly, let the second object have mass m2 and have motion described
by the equations x=g1(t), y=g2(t) and z=g3(t). Let their rotational
motion be described by f4(t), f5(t), and f6(t).

According to general relativity, what is the force between these two
objects?
I am aware of the fact that problems like this often become quite
complicated in GR, but I am fine with an answer that contains such
elements as differential geometry and tensor analysis.

Thank you in advance.

.

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