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• W3104535431 endingPage "205011" @default.
• W3104535431 startingPage "205011" @default.
• W3104535431 abstract "The general structure of the conformal boundary $mathscr{I}^+$ of asymptotically de Sitter spacetimes is investigated. First we show that Penrose's quasi-local mass, associated with a cut ${cal S}$ of the conformal boundary, can be zero even in the presence of outgoing gravitational radiation. On the other hand, following a Witten--type spinorial proof, we show that an analogous expression based on the Nester--Witten form is finite only if the Witten spinor field solves the 2-surface twistor equation on ${cal S}$, and it yields a positive functional on the 2-surface twistor space on ${cal S}$, provided the matter fields satisfy the dominant energy condition. Moreover, this functional is vanishing if and only if the domain of dependence of the spacelike hypersurface which intersects $mathscr{I}^+$ in the cut ${cal S}$ is locally isometric to the de Sitter spacetime. For non-contorted cuts this functional yields an invariant analogous to the Bondi mass." @default.
• W3104535431 created "2020-11-23" @default.
• W3104535431 creator A5032430035 @default.
• W3104535431 creator A5044554276 @default.
• W3104535431 date "2015-10-01" @default.
• W3104535431 modified "2023-10-18" @default.
• W3104535431 title "A positive Bondi-type mass in asymptotically de Sitter spacetimes" @default.
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• W3104535431 doi "https://doi.org/10.1088/0264-9381/32/20/205011" @default.
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