The Real Meaning of Complex Minkowski-Space World-Lines

التفاصيل البيبلوغرافية
العنوان: The Real Meaning of Complex Minkowski-Space World-Lines
المؤلفون: Adamo, T. M., Newman, E. T.
المصدر: Class.Quant.Grav.27:075009,2010
سنة النشر: 2009
المجموعة: General Relativity and Quantum Cosmology
مصطلحات موضوعية: General Relativity and Quantum Cosmology
الوصف: 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
نوع الوثيقة: Working Paper
DOI: 10.1088/0264-9381/27/7/075009
URL الوصول: http://arxiv.org/abs/0911.4205
رقم الأكسشن: edsarx.0911.4205
قاعدة البيانات: arXiv
الوصف
DOI:10.1088/0264-9381/27/7/075009