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- W2040817342 abstract "A new way of showing local positivity of the Bondi mass is presented. The method used makes use only of the constraint equations. By looking at the constraint equations of general relativity on an asymptotically constant mean extrisic curvature hypersurface, a mass aspect is picked out, whose average over the 2-sphere coincides with the Bondi mass. This mass aspect differs from Bondi's mass aspect by terms linear in the news function. It is shown that the mass aspect so produced may be considered as a functional of the dependent data in the problem. This functional is shown to have Minkowski space as a critical point. The second variational of the functional about flat space is then shown to be positive. From this, one concludes that the functional is positive in a neighborhood of flat space. Hence the Bondi mass, too, is positive in a neighborhood of flat space." @default.
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- W2040817342 date "1984-10-01" @default.
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- W2040817342 title "On the positivity of the Bondi mass" @default.
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- W2040817342 doi "https://doi.org/10.1016/0003-4916(84)90049-6" @default.
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