File:Naked.Singularity,Overextremal.Kerr.Newman,Raytracing.png: Difference between revisions

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=={{int:filedesc}}==
=={{int:filedesc}}==
{{Information
{{Information
|description={{en|1= [[:en:Gravitational_lens|Gravitational lensing]] of an overextremal [[:en:Kerr%E2%80%93Newman_metric|Kerr-Newman]] naked [[:en:Ring_singularity|ring singularity]] with spin a/M=√2 and charge Q/M=√2, in [[:en:Natural_units|natural units]] of [[:en:Gravitational_constant|G]]=[[:en:Coulomb%27s_constant|K]]=[[:en:Speed_of_light|c]]=[[:en:Unity#Science_and_technology|1]] (so a²+Q²=2M²). The observer is at r=50M and views the [[:en:Naked_singularity|naked singularity]] from the equatorial plane (edge on); it's left side is rotating towards the observer. [[:en:Field_of_view|FOV]]: 77.4°×38.7°. The equations that were used to [https://en.wikipedia.org/wiki/Ray_tracing_(physics)#General_relativity raytrace] the image can be found [https://commons.wikimedia.org/wiki/File:Kerr-Newman-Orbit-1.gif#Equations here].}}
|description={{en|1= [[:en:Gravitational_lens|Gravitational lensing]] of an overextremal [[:en:Kerr%E2%80%93Newman_metric|Kerr-Newman]] naked [[:en:Ring_singularity|ring singularity]] with spin a/M=√2 and charge Q/M=√2, in [[:en:Natural_units|natural units]] of [[:en:Gravitational_constant|G]]=[[:en:Coulomb%27s_constant|K]]=[[:en:Speed_of_light|c]]=[[:en:Unity#Science_and_technology|1]] (so a²+Q²=2M²). The observer is at r=50M and views the [[:en:Naked_singularity|naked singularity]] from the equatorial plane (edge on); it's left side is rotating towards the observer. [[:en:Field_of_view|FOV]]: 77.4°×38.7°. The equations that were used to [https://en.wikipedia.org/wiki/Ray_tracing_(physics)#General_relativity raytrace] the image can be found [https://commons.wikimedia.org/wiki/File:Kerr-Newman-Orbit-1.gif#Equations here]. Comparison: Ref. 1<ref>[http://member.ipmu.jp/rie.ujita/slides_gravity/wednesday/maeda.pdf#page=14 Wased Uiversity: Gravitational Lensing and Black Hole Shadows, p.14]</ref> and Ref 2<ref>[http://cyber.sci-hub.hk/MTAuMTA4OC8wMjY0LTkzODEvMTcvMS8zMDk=/vries1999.pdf#page=20 DeVries: The apparent shape of a rotating charged black hole, closed photon orbits and the bifurcation, p.20]</ref>}}
|date=2018-04-10
|date=2018-04-10
|source={{own}}
|source={{own}}
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[[File:Black.Hole,Extremal.Kerr.Newman,Raytracing.png|thumb|left|400px|Extremal Kerr-Newman black hole with the same total energy as the naked singularity above]]
[[File:Black.Hole,Extremal.Kerr.Newman,Raytracing.png|thumb|left|400px|Extremal Kerr-Newman black hole with the same total energy as the naked singularity above]]
}}
}}

==References==
<references responsive />


=={{int:license-header}}==
=={{int:license-header}}==

Revision as of 03:23, 21 April 2018

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Summary

Description
English: Gravitational lensing of an overextremal Kerr-Newman naked ring singularity with spin a/M=√2 and charge Q/M=√2, in natural units of G=K=c=1 (so a²+Q²=2M²). The observer is at r=50M and views the naked singularity from the equatorial plane (edge on); it's left side is rotating towards the observer. FOV: 77.4°×38.7°. The equations that were used to raytrace the image can be found here. Comparison: Ref. 1[1] and Ref 2[2]
Date
Source Own work
Author Yukterez (Simon Tyran, Vienna). Source material for the Milky way background (also available on Commons): ESO/S.Brunier. Code for the relativistic raytracer and other angles: yukterez.net
Other versions
The same singularity viewed from 45°
The same singularity viewed from the top
Extremal Kerr-Newman black hole with the same total energy as the naked singularity above

References

  1. ↑ Wased Uiversity: Gravitational Lensing and Black Hole Shadows, p.14
  2. ↑ DeVries: The apparent shape of a rotating charged black hole, closed photon orbits and the bifurcation, p.20

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Date/TimeThumbnailDimensionsUserComment
current01:59, 21 April 2018Thumbnail for version as of 01:59, 21 April 2018800 × 430 (270 KB)Yukterez (talk | contribs)display the distance and angle of view in the right upper corner
20:13, 11 April 2018Thumbnail for version as of 20:13, 11 April 2018800 × 430 (270 KB)Yukterez (talk | contribs)reduced width to 800px to avoid rescaling
19:52, 11 April 2018Thumbnail for version as of 19:52, 11 April 2018860 × 430 (292 KB)Yukterez (talk | contribs)User created page with UploadWizard

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