Forces in GTR

I can't quite explain the thought process because I was half asleep, meditating on nothing to try to suppress some neurogenic pain when I started musing about time travel and tried to "picture" what might be involved when the notion of a time-like "force" occurred to me. Okay, let's ignore that for the short term because I have a more fundamental problem: I can't ever remember seeing any treatment of "forces" in the dynamics of GTR in any of the books I've read.

a) Have I missed something obvious?

b) Can someone give me a reference or two to a treatment of this subject?

c) (Extra Credit)  What would a time-like force be?

   TIA
       Norm

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