Gravitational Field Energy and
- 15 May 1963
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 130 (4) , 1590-1594
- https://doi.org/10.1103/physrev.130.1590
Abstract
It is shown that one of the family of "generalized energy density" definitions being investigated by Komar, one for which the generalized energy density is made positive definite by use of minimal surfaces, leads to a total "generalized energy" which (a) is undefinable for closed universes, (b) is not conserved for some asymptotically flat spaces, and (c) is not the correct total energy for the Oppenheimer-Snyder collapsing star metric where the metric in a neighborhood of infinity is identically the Schwarzschild metric.Keywords
This publication has 19 references indexed in Scilit:
- Asymptotic Covariant Conservation Laws for Gravitational RadiationPhysical Review B, 1962
- Asymptotic Properties of a System with Nonzero Total MassPhysical Review B, 1962
- Coordinate Invariance and Energy Expressions in General RelativityPhysical Review B, 1961
- On the positive definite mass of the Bondi-Weber-Wheeler time-symmetric gravitational wavesAnnals of Physics, 1959
- On weak time-symmetric gravitational wavesAnnals of Physics, 1959
- Conservation Laws in General Relativity as the Generators of Coordinate TransformationsPhysical Review B, 1958
- Gravitation and ElectromagnetismPhysical Review B, 1954
- Quantization of Einstein's Gravitational Field: General TreatmentProceedings of the Physical Society. Section A, 1952
- On Continued Gravitational ContractionPhysical Review B, 1939
- Uber Die Ausdrucke Der Gesamtenergie Und Des Gesamtimpulses Eines Materiellen Systems in Der Allgemeinen RelativitatstheorieAnnals of Mathematics, 1939