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

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

2005-04-06

arxiv.org/abs/gr-qc/0504022v1

Class.Quant.Grav. 22 (2005) 4659-4666

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages

Scientific paper

10.1088/0264-9381/22/22/001

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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