Uniqueness of Scalar Field Energy and Gravitational Energy in the Radiating Regime
- 8 June 1998
- journal article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 80 (23) , 5052-5055
- https://doi.org/10.1103/physrevlett.80.5052
Abstract
The usual approaches to the definition of energy give an ambiguous result for the energy of fields in the radiating regime. We show that for a massless scalar field in Minkowski space-time the definition may be rendered unambiguous by adding the requirement that the energy cannot increase in retarded time. We present a similar theorem for the gravitational field, proved elsewhere, which establishes that the Trautman-Bondi energy is the unique (up to a multiplicative factor) functional, within a natural class, which is monotonic in time for all solutions of the vacuum Einstein equations admitting a smooth ``piece'' of conformal null infinity Scri.Comment: 8 pages, revteKeywords
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