This weekend I played the game of the perihelion precession in GR.(adsbygoogle = window.adsbygoogle || []).push({});

I started with the Schwarzschild geometry and used the hamilton-jacobi method.

It was quite interresting to compare the integral with the classical counterpart.

The full two-body problem may be more complicated to handle.

Including, even approximately, the fields of two masses and finding out the motion -and- the metric seems to me really much more complicated. Would you know about some paper on such calculations? At least to see how this can be treated.

I have also this related question:

If I treat this two-body problem in GR, how can I match the solution to the real world: how and why can I match this 2-body solution to a practical inertial frame? Where and how in the formulation could the inertial frame pop out? In the Newtonian counter-part the inertial frame is there by hypothesis, if needed inertial forces must be added. But in GR, how does that work?

Thanks

Michel

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# Two body problem in GR

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