Maybe this will clear things up. EE has 10 independent equations, so one 
needs 10 initial conditions to define the path of a test particle in 
spacetime. What are they, and what would distinguish a geodesic from a 
non-geodesic solution? TIA, AG

On Tuesday, August 4, 2020 at 12:29:26 PM UTC-6, Brent wrote:
>
> You can choose coordinates so that a particular geodesic is a coordinate 
> axis. 
>
> Brent 
>
> On 8/4/2020 3:24 AM, Lawrence Crowell wrote: 
> > What bothers me about this is that the spatial coordinates generally 
> > depend on each other, and time. In this situation will the geodesic 
> > equations yield a solution where the spatial coordinates remain fixed? 
> AG 
>
>

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