Phys. Rev. 129, 1873–1876 (1963)Positive-Definite Energy Density and Global Consequences for General RelativityReceived 24 May 1962; published in the issue dated February 1963 An expression for energy density in general relativity is constructed starting from the viewpoint that such an expression should be represented by the generator of translations of a preferred set of space-like coordinate surfaces. The resulting expression is shown to yield a positive-definite value for the energy. It is further shown that, in conformity with one version of Mach's principle, if the total energy vanishes, the space is locally flat. © 1963 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRev.129.1873
DOI:
10.1103/PhysRev.129.1873
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