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arXiv · 0911.4205

The Real Meaning of Complex Minkowski-Space World-Lines

T. M. Adamo·E. T. Newman
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Abstract

In connection with the study of shear-free null geodesics in Minkowski space, we investigate the real geometric effects in real Minkowski space that are induced by and associated with complex world-lines in complex Minkowski space. It was already known, in a formal manner, that complex analytic curves in complex Minkowski space induce shear-free null geodesic congruences. Here we look at the direct geometric connections of the complex line and the real structures. Among other items, we show, in particular, how a complex world-line projects into the real Minkowski space in the form of a real shear-free null geodesic congruence.

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BibTeXRIS

T. M. Adamo, E. T. Newman. 2009-11-21. The Real Meaning of Complex Minkowski-Space World-Lines. https://doi.org/10.1088/0264-9381%2F27%2F7%2F075009

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