In the wikipedia page a distinction is made in the definition of the SR 4-acceleration between the case with rectilinear vs. curvilinear coordinates, the latter requiring the use of Christoffel symbols of the coordinates wrt the Minkowski space and therefore an additional term.(adsbygoogle = window.adsbygoogle || []).push({});

Finally it presents the formula of 4-acceleration in the context of GR.

Is it ok to say that there is no formal difference in the formula between the GR 4-acceleration and the SR one in curvilinear coordinates?

Of course we now one refers to curved space and the other to flat space in curved coordinates, so the Christoffel symbols have different meaning in both cases, I'm referring to the formal mathematical operations.

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# 4-acceleration definition

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