Einstein's equations as equations of imbedding and privileged frames

Details Einstein's equations as equations of imbedding and privileged frames Einstein's equations as equations of imbedding and privileged frames

Mar 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976svphj..19..326b&link_type=abstract

Soviet Physics Journal, Volume 19, Issue 3, pp.326-329

Physics

Scientific paper

It is shown that Einstein's equations for empty space in a synchronous frame are equations of imbedding of three-dimensional Riemannian spaces in four-dimensional pseudo-Riemmanian spaces with Rik=0. Choice of the privileged synchronous frame enables one to distinguish the quantities which characterize the gravitational field from those that are due to the frame's being noninertial. In particular, it is shown that the energy of the gravitational field does not contribute to the total matter energy for island systems, which agrees with Einstein's result for a spherical universe.

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