A relationship between future and past null infinity

Details A relationship between future and past null infinity A relationship between future and past null infinity

Nov 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992gregr..24.1185h&link_type=abstract

General Relativity and Gravitation, Volume 24, Issue 11, pp.1185-1193

Physics

3

Scientific paper

By the addition of a single point i∘ at space-like infinity, null infinity,I =I + ?I -, may be regarded as the null cone with vertexi∘. We show that, given suitable regularity conditions ati∘, there exist natural Bondi scalings on the whole ofI which may be used to relate quantities onI + andI -. In particular, we show that, in terms of such a scaling, the mass aspect Ψ{2/o} onI satisfies lim x→°,x∈I+ Ψ{2/°} = lim x→°,x∈I- Ψ{2/°} where the limits are taken along the same generator ofI.

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