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Was wondering if anyone has seen this done? Essentially I've tried plugging in the Schwarszchild exterior metric and getting a radial wave equation then taking a series expansion for small M (gravitating mass) and comparing that to the KG radial wave equation in a radial potential V(r) but i cannot seem to recover the linear energy term (grav KG equation seems to only provide E^2)

Any ideas/help would be...helpful!

Cheers

-G

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# Newtonian limit of Gravitational Klein-Gordon Equation

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