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Apr 9, 2020 at 4:30 comment added Prahar One to answer your own question is to see whether $u^\mu$ satisfies the geodesic equation.
Apr 9, 2020 at 3:34 comment added Qmechanic Related post by OP: physics.stackexchange.com/q/542491/2451
Apr 9, 2020 at 3:33 history edited Qmechanic CC BY-SA 4.0
edited tags; edited title
Apr 9, 2020 at 2:15 comment added Cinaed Simson No. You're not calculating the 4-veclocity vector from the metric tensor - you're using the metric tensor to map the 4-velocity vector to the 4-velocity covector - or map a 4-velocity covector. to a 4-velocity vector. The contraction of 4-velocity vector with a 4-velocity covector gives you number which is magnitude squared of the 4-velocity vector.
Apr 8, 2020 at 22:39 history asked M.N.Raia CC BY-SA 4.0