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Résumé |
I will present the detailed construction of an extension of the Bondi framework which includes a non-vanishing twist, i.e. the relaxation of the hyperspace-orthogonality condition. This extension has several advantages which have been noted in recent work. First, it allows to access a Carroll-covariant structure on Scri. Second, and most importantly, the presence of a non-vanishing twist allows to write all the algebraically special solutions in finite form. This includes for example Kerr or supertranslated Schwarzschild, which would otherwise require an infinite 1/r expansion when written in the standard non-twisting Bondi gauge. This opens the possibility of defining symplectic symmetries for these algebraically special solutions. The construction of the algebraically general solutions near null infinity requires the use of a combination of the Newman-Penrose and metric formalisms, which will be presented in detail. |
