I am a student who is studying General Relativity, and I don't know enough tensor analysis to answer the following straightfoward question:(adsbygoogle = window.adsbygoogle || []).push({});

Since the stress energy tensor is just a sophisticated representation of mass, and since einstiens field equations equate this energy to a representation of curved spacetime, is it appropriate to say that massisthe curvature of spacetime?

More precisely, is it possible to derive from the field equations the existence of a "force" (spatial rate of change in energy) that is proportional to acceleration and "mass" (E/c^2) in the newtonian limit?

Conceptually, I am asking if GR predicts inertia as a force which does work on spacetime.

If true, notice that Newtons Law (sum of F = ma) reduces to the following elegant statement:

Sum F = 0

(a force of -ma occurs when an object with gravitational mass accelerates)

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# GR: modify F = ma?

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