Quote:
Originally posted by stingc
Now as stated before, there are many possible forms for dL depending on the coordinates chosen. If there's no gravity, though, it is always possible to transform back to the metric given above. Gravity modifies the equation for L such that it can no longer be brought into that simple form by any choice of coordinates. Its probably better to say that gravity IS the (invariant) difference in the true metric and the special relativistic version.
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Okay, there are still a couple of things I'm missing. L is what? If gravity makes the situation less simple, just what kind of math is needed? You got into some level 1 calculus there, I see, but I wonder what I'd need to take to add in gravity.