I've been trying to figure this one out for a while, I could use a bit of help. I think I'm getting close.(adsbygoogle = window.adsbygoogle || []).push({});

If we consider the metric

(1+2*m/R)*(dx^2+dy^2+dz^2) + (-1+2*m/R) dt^2, we have the metric of the nearly-Newtonian far-field of a body with mass m.

If the mass isn't moving, we can write R = x^2 + y^2 + z^2

We can "boost" the solution by substituting x = gamma(x'+vt'), t = gamma(t'+vx'). (At least I think we can do this safely, being interested only in the far field.)

This makes R, which was originally a function of x,y,z, now a function of x',y,z,t'

Finding the resulting Christoffel symbols of this metric is not too bad (with the computer to help).

Now it comes time to interpret them.

[rewrite]

I think [tex]\Gamma_{x'tt}[/tex] should do the job?

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# Far Gravitational field of a moving mass

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