Geodesic (general Relativity) - Coordinate Time

Coordinate Time

So far the geodesic equation of motion has been written in terms of proper time, s. It can also be written in terms of the time coordinate, . The equation then becomes:

x''_a(t) = \left(\Gamma^{bc}_a-x'_a(t)\Gamma^{bc}_0\right)x_b'(t)x_c'(t)

This can be useful for commuter calculations and to compare General Relativity with Newtonian Gravity.

Read more about this topic:  Geodesic (general Relativity)

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