Foundations of Physics

, Volume 15, Issue 10, pp 997–1008 | Cite as

Localization of gravitational energy

  • Nathan Rosen
Article

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.

Keywords

Coordinate System Energy Density General Relativity Constant Curvature Unique Form 

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Copyright information

© Plenum Publishing Corporation 1985

Authors and Affiliations

  • Nathan Rosen
    • 1
  1. 1.Department of PhysicsTechnion-Israel Institute of TechnologyHaifaIsrael

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