Yes! Exactly as you say, using the fact that Minkowski coordinates have all their Christoffels equal to zero, and forcing the fact that my arbitrary frame field must be inertial and non-rotating, I arrive at precisely the system of equations that you mention. So I see now that I was on the right...
Yes, I imagined so. But why? (mathematically):
-) given the arbitrary frame field e0,e1,e2,e3, what is the mathematical construction of the corresponding coordinate chart?
-) what is the mathematical construction of the Lorentz transformation that relates that chart to the chart that I used to...
Hello everyone, here I come with a question about inertial frames as defined in General Relativity, and how to prove that the general definition is consistent with the particular case of Special Relativity.
So to contextualize, I have found that one can define inertial frames in General...