This image was uploaded in the PNG image format. However, it contains visible lossy compression artifacts. These artifacts may have come from the JPEG format, from saving a single colorful image as GIF instead of PNG or from saving an animated GIF using the incorrect settings (See also Dither). If possible, please provide a superior version of this file, derived from a non-lossy source (or with artifacts removed). If applicable, please replace all instances of the artifact version throughout Wikimedia projects, tag the old version with one of these templates, and remove this tag. For more information, see Commons:Preparing images for upload and Commons:Media for cleanup.
العربية∙Deutsch∙English∙français∙македонски∙русский∙日本語∙中文∙中文(简体)∙中文(繁體)∙+/−
Summary
DescriptionLangevin Frame Cyl Vorticity.png
English: This figure illustrates the nonzero vorticity of the timelike congruence of world lines of Langevin observers, who rotate about the axis r=0 in cylindrical coordinates with angular velocity ω.
In the figure, the red curve represents the world line a fiducial Langevin observer, together with two gold light cones with three frame vectors (the fourth frame vector is inessential and has been suppressed).
The blue dashed curves represent the world lines of neighboring Langevin observers, which twist about the red curve.
The cyan curve shows that the spatial frame vectors are rotating to radial symmetry, so the Langevin frame is spinning as well as non-inertial.
This figure was created by User:Hillman using eog to convert to png format a jpg image exported from a Maple session.
This diagram image could be re-created using vector graphics as an SVG file. This has several advantages; see Commons:Media for cleanup for more information. If an SVG form of this image is available, please upload it and afterwards replace this template with {{vector version available|new image name}}.
It is recommended to name the SVG file “Langevin Frame Cyl Vorticity.svg”—then the template Vector version available (or Vva) does not need the new image name parameter.
to share – to copy, distribute and transmit the work
to remix – to adapt the work
Under the following conditions:
attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
This licensing tag was added to this file as part of the GFDL licensing update.http://creativecommons.org/licenses/by-sa/3.0/CC BY-SA 3.0Creative Commons Attribution-Share Alike 3.0truetrue
Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License. Subject to disclaimers.http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue
Original upload log
The original description page was here. All following user names refer to en.wikipedia.
This figure illustrates the nonzero ''vorticity'' of the [[congruence (general relativity)|timelike congruence]] of [[world line]]s of ''Langevin observers'', who rotate about the axis r=0 in cylindrical coordinates with angular velocity ω. In th
Captions
Add a one-line explanation of what this file represents