Gravitational energy cannot become negative

Details Gravitational energy cannot become negative Gravitational energy cannot become negative

Feb 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982phrvl..48..371h&link_type=abstract

Physical Review Letters, vol. 48, Feb. 8, 1982, p. 371-374.

Physics

39

Energy Transfer, Gravitational Waves, Radiative Transfer, Space-Time Functions, Stress Tensors, Asymptotic Methods, Curvature, Field Theory (Physics), Relativity, Theoretical Physics, Fundamental Problems And General Formalism

Scientific paper

An analytic proof that the Bondi four-momentum, which defines the space-time curvature at large to small distances from, in this case, a gravitational source cannot become negative is presented. A theorem is presented of a space-time which is asymptotically flat at future null infinity, the dominant energy condition holds, and a nonsingular spacelike surface exists which asymptotically approaches the null cone of constant retarded time near null infinity. A proof is provided that shows that the remaining Bondi energy at any time must be future-directed and vanishes when the stress-energy tensor of the nonsingular space-time curvature surface becomes zero. The results show that an isolated system can not radiate more energy than it originally has as defined by its total Arnowitt-Deser-Misner energy.

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