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

Gerald Rosen
Phys. Rev. D 35, 2595 – Published 15 April 1987
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Abstract

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.

  • Received 4 September 1986

DOI:https://doi.org/10.1103/PhysRevD.35.2595

©1987 American Physical Society

Authors & Affiliations

Gerald Rosen

  • Department of Physics, Drexel University, Philadelphia, Pennsylvania 19104

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Vol. 35, Iss. 8 — 15 April 1987

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