Localization of gravitational energy

Foundations of Physics 15 (10):997-1008 (1985)
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Abstract

In the general relativity theory gravitational energy-momentum density is usually described by a pseudo-tensor with strange transformation properties so that one does not have localization of gravitational energy. It is proposed to set up a gravitational energy-momentum density tensor having a unique form in a given coordinate system by making use of a bimetric formalism. Two versions are considered: (1) a bimetric theory with a flat-space background metric which retains the physics of the general relativity theory and (2) one with a background corresponding to a space of constant curvature which introduces modifications into general relativity under certain conditions. The gravitational energy density in the case of the Schwarzschild solution is obtained

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General Relativity with a Background Metric.Nathan Rosen - 1980 - Foundations of Physics 10 (9-10):673-704.

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