A new ? -space formalism

Details A new ? -space formalism A new ? -space formalism

Sep 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977gregr...8..761h&link_type=abstract

General Relativity and Gravitation, Volume 8, Issue 9, pp.761-786

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The equations governing geometrical objects in ? space are written in terms of operators adapted to families of left shear-freeσ 0= 0) cross sections of complexified null infinity ( C I +). The concept of &-conformai weight (HCW) is introduced, and a derivative operator I {a/'}, which is closely connected with the covariant derivative but which (unlike the covariant derivative) maps objects having well-defined HCW to other such objects, is defined. A function ?, derived from the Gaussian curvature of left shear-free slicings of C I + and having a well-defined HCW, is shown to contain all the curvature information for ? space.

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