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Localization of gravitational energy

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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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Authors and Affiliations

  1. Department of Physics, Technion-Israel Institute of Technology, Haifa, Israel

    Nathan Rosen

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  1. Nathan Rosen
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Rosen, N. Localization of gravitational energy. Found Phys 15, 997–1008 (1985). https://doi.org/10.1007/BF00732842

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  • DOI: https://doi.org/10.1007/BF00732842

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