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

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.

7 pages

References in corpus (2)

• On a Classical, Geometric Origin of Magnetic Moments, Spin-Angular Momentum and the Dirac Gyromagnetic Ratio
• Maxwell Fields and Shear-Free Null Geodesic Congruences

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• Twisting Null Geodesic Congruences and the Einstein-Maxwell Equations
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• The Real Meaning of Complex Minkowski-Space World-Lines
• Asymptotic twistor Theory and the Kerr Theorem
• The Geometry of Regular Shear-Free Null Geodesic Congruences, CR functions and their Application to the Flat-Space Maxwell Equations
• Electromagnetic Induced Gravitational Perturbations
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• Newton's 2nd Law, Radiation Reaction & Type II Einstein-Maxwell Fields
• Electrodynamic Radiation Reaction and General Relativity
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