File:Frame dragging of locally stationary ZAMOs.gif
Frame_dragging_of_locally_stationary_ZAMOs.gif (370 × 358 pixels, file size: 3.05 MB, MIME type: image/gif, looped, 1,572 frames, 1 min 3 s)
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Captions
Summary
[edit]DescriptionFrame dragging of locally stationary ZAMOs.gif |
English: A set of zero angular momentum observers who are locally at rest, but corotating with the swirl of space. The animation shows the observed inertial frame dragging in the frame of reference of a stationary observer far away from the black hole. Coordinate system: cartesian bookeeper. Spinparameter of the central black hole: a=1.
Deutsch: Korotation von lokal nichtrotierenden und auf fixem r sitzenden Messbojen im Bezugssystem eines weit entfernten und relativ zu den Fixsternen stationären Beobachters, in kartesischen Buchhalterkoordinaten und einem Spin des zentralen schwarzen Lochs von a=1. |
Date | |
Source | Own work |
Author | Yukterez (Simon Tyran, Vienna) |
Equations
[edit]The observed angular velocity of the frame drag in the system of the coordinate bookkeeper far away from the mass is[1]
in units of and with
The radius of gyration is given by[2]
and the cartesian coordinates in the bookkeeper's frame of reference are
The gravitational time dilation component is
so the observed transverse velocity of a frame dragged zero angular momentum probe is
and the local velocity
That is exactly the speed of light at the outer edge of the outer ergosphere at
which corresponds to a Boyer-Lindquist radius of and a cartesian radius of at the equator.
References
[edit]- ↑ Andrei & Valeri Frolov: Rigidly rotating ZAMO surfaces in the Kerr spacetime, page 1, eq. 5
- ↑ Scott A. Hughes: Nearly horizon skimming orbits of Kerr black holes, pages 5, 6 etc
Licensing
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Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 15:50, 3 October 2021 | 370 × 358 (3.05 MB) | Yukterez (talk | contribs) | Reverted to version as of 07:52, 25 June 2017 (UTC) | |
19:31, 5 February 2021 | 368 × 356 (2.58 MB) | Bürgerentscheid (talk | contribs) | half framerate to fit 100 MP limit | ||
07:52, 25 June 2017 | 370 × 358 (3.05 MB) | Yukterez (talk | contribs) | User created page with UploadWizard |
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