Would the observer moving along the circle in this Godel space-time diagram feel fictitious forces as though he is accelerating along a circular path or would he simply arrive at an earlier point in time after heading outward in a straight path. I believe he is moving in a straight path but arrives at the earlier point due to the weirdness of the godel model, but someone online disagrees. What mathematics should I use to answer such questions? Is there an intuitive non-mathematical answer based on the the diagram alone? I know GR up to the three early classic predictions, but that is basically all I know.
I would prefer to use the diagram from Hawking/Ellis, but I cannot find it online. This one should suffice if you are familiar with the diagram,