Concise way of expressing the physicogeometric content of the gravitational field equations

Physics

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Fundamental Problems And General Formalism

Scientific paper

It is observed that the Einstein field equations Rμν-(1/2)Rgμν=8πGTμν are equivalent to the physicogeometric statement: A local spherical region of radius r containing energy with moment of inertia I has the physical volume V(r)=(4π/3)(r3+GI) in an associated free-falling frame of reference.

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