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Post Closed as "Duplicate" by Qmechanic general-relativity
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Qmechanic
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Nayeem1
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Imaginary velocity components in geodesic

When we try to find the geodesic of a partical at rest, in the second term of the geodesic equation we use dt/dtau = 1. Shouldn’t it be i (for imaginary number), since the time component of the 4-velocity vector is imaginary?