Uniqueness of the mass in the radiating regime

Details Uniqueness of the mass in the radiating regime Uniqueness of the mass in the radiating regime

1998-01-21

arxiv.org/abs/gr-qc/9801073v1

Phys.Rev.Lett. 80 (1998) 5052-5055

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, revtex

Scientific paper

10.1103/PhysRevLett.80.5052

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.

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