File:BornChartRadialNullGeodesicsInboundOutbound.svg
Summary
| Description |
English: This figure depicts the tracks of representative radial null geodesics in the Born coordinate chart for Minkowski spacetime, in which the world lines (nongeodesic timelike curves) of Langevin observers appear as vertical lines. Langevin observers rotate with angular velocity ω about the axis of symmetry r = 0. In an ordinary cylindrical chart, these appear as helices. The figure shows that, as depicted in the Born chart, Langevin observers see a central observer "displaced from his true position" because they must look ahead to compensate for their motion (the green outbound radial null geodesic). Whereas a stationary observer at the center r = 0 has to look behind to see the ring riding Langevin observer (the red inbound radial null geodesic).
Deutsch: Im Bild werden zwei typische radiale Nullgeodäten (eingehender und ausgehender Lichtstrahlen) in Born-Koordinatendarstellung der Minkowski-Metrik dargestellt, in der die Weltlinien der Langevin-Beobachter vertikale Linien sind. In der Zylinderdarstellung rotieren die Langevin-Beobachter mit der Winkelgeschwindigkeit ω um die Symmetrieachse r = 0 und ihre Weltline beschreibt eine Schraubenlinie.
In der Born-Koordinatendarstellung sieht der Langevin-Beobachter am Rand den stationären zentralen Beobachter gegenüber seiner "wahren Position verschoben" und er muss daher "vorausschauen". Der stationäre Beobachter hingegen muss dem Langevin-Beobachter "hinterherschauen". |
| Date | |
| Source | Own work |
| Author | Karl Hilpolt |
| SVG development | Category:Valid SVG created with Gnuplot:Diagrams#BornChartRadialNullGeodesicsInboundOutbound.svg  This diagram uses embedded text. |
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