The Real Meaning of Complex Minkowski-Space World-Lines
Autor: | Adamo, T. M., Newman, E. T. |
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Rok vydání: | 2009 |
Předmět: | |
Zdroj: | Class.Quant.Grav.27:075009,2010 |
Druh dokumentu: | Working Paper |
DOI: | 10.1088/0264-9381/27/7/075009 |
Popis: | 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. Comment: 16 pages |
Databáze: | arXiv |
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