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The Large Footprints of H-Space on Asymptotically Flat Space-Times

Carlos N. Kozameh·Ezra T. Newman
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Abstract

We show that certain structures defined on the complex four dimensional space known as H-Space have considerable relevance for its closely associated asymptotically flat real physical space-time. More specifically for every complex analytic curve on the H-space there is an asymptotically shear-free null geodesic congruence in the physical space-time. There are specific geometric structures that allow this world-line to be chosen in a unique canonical fashion giving it physical meaning and significance.

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Carlos N. Kozameh, Ezra T. Newman. 2005-04-06. The Large Footprints of H-Space on Asymptotically Flat Space-Times. https://doi.org/10.1088/0264-9381%2F22%2F22%2F001

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