I just read some basic concepts on General Relativity, and this idea pops up: I know we should use variations of metrics for gravitational field in the Lagrangian. But considering the resemblance of gravitational field(weak-field) to electromagnetic field, can we construct a 4-potential similar to that of the electromagnetic field, say [itex]A_{G} = (ψ(gravitational potential),0, 0, 0)[/itex]. So the Action for the effect of gravitational field would be: [itex]\int -\frac{m}{c} A_{G}dx^{i}[/itex]. Would that be a good approximation for weak field?(adsbygoogle = window.adsbygoogle || []).push({});

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# Lagrangian in weak field

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