hwl

Thanks for your help. I will try the sites you mention. I have several relativity text books but not one of them deals with this question. I have been searching for the answer for quite a long time now. It is an important question because this field does not seem to fit in with the rest of Einstein's theory - which is concerning!

I am not enrolled on any course. At the age of 73 I think perhaps I am a bit too old! I am just trying to find the answer to this puzzling question. I have tried the site you mention but nobody seems able to help.

What is a 'takehome final'?

Suppose we do a constant Jacobian transformation (NOT Lorentz) of an inertial frame. This defines a non-inertial field with a constant metric in which the acceleration vector is NON-ZERO. But this directly contradicts the geodesic-metric equation. According to this equation, the acceleration vector is ZERO, because the metric is constant and so it has zero partial derivatives which make the metric connection zero. Can anyone explain this direct contradiction?