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Phys. Rev. D 35, 2595–2596 (1987)

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

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Gerald Rosen
Department of Physics, Drexel University, Philadelphia, Pennsylvania 19104

Received 4 September 1986; published in the issue dated 15 April 1987

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.

© 1987 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.35.2595
DOI:
10.1103/PhysRevD.35.2595
PACS:
04.20.Cv, 04.60.+n