Non-Inertial FRs in GR: Summary & Sources

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Bit confused regarding how non-inertial frames can be treated in GR (and by non-inertial i mean affected by some kind of four-force). Can anyone give a brief summary or link to some good sources?
 
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They have the exact same formulation as in SR. So for starters have you seen how non-inertial frames are treated in SR?

If not then read chapter 3 of the following notes: http://www.uio.no/studier/emner/matnat/fys/FYS4160/v06/undervisningsmateriale/kompendium.pdf

If you have springer access through your university then there is no better reference you could possibly hope for than the following text: http://link.springer.com/book/10.1007/978-3-642-37276-6

For GR see: http://en.wikipedia.org/wiki/Frame_fields_in_general_relativity

Could you at least specify what exactly is confusing you about non-inertial frames in GR?
 

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