I'm trying to use the tensor formulation of GR to calculate the velocity of a particle in a circular orbit around a black hole.(adsbygoogle = window.adsbygoogle || []).push({});

Here is the work I have done so far.

What concerns me is that I end up getting zero velocity when applying the metric to the differential equations I get from the geodesic equation. I wonder if I have made a miscalculation, but I am unable to find any, so maybe there is a misunderstanding on my part.

Any help is appreciated.

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# Orbital velocities in the Schwartzschild geometry

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