What are the functions of Boyer-Linquist coordinates?

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Discussion Overview

The discussion revolves around Boyer-Lindquist coordinates, their functions, and their relationship to other coordinate systems, particularly in the context of general relativity and black hole metrics. Participants explore theoretical aspects and references related to these coordinates.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant requests a comprehensive explanation of Boyer-Lindquist coordinates, indicating a desire for clarity on their functions.
  • Another participant questions the motivation behind the inquiry, suggesting that the original question is vague.
  • References to academic papers and resources are provided, which may contain relevant information about Boyer-Lindquist coordinates and their applications.
  • It is noted that Boyer-Lindquist coordinates are a generalization of Schwarzschild coordinates, with a participant asserting that both coordinate systems are utilized in different solutions of general relativity.
  • A participant mentions auxiliary variables related to the Boyer-Lindquist metric, arguing that these do not qualify as coordinates in the same sense as the primary coordinates.
  • There is a lack of clarity regarding the specific information being sought about Boyer-Lindquist coordinates, leading to further questions about the original inquiry.

Areas of Agreement / Disagreement

Participants express differing views on the clarity and specificity of the original question. There is no consensus on the functions of Boyer-Lindquist coordinates or their relationship to other coordinate systems, as multiple perspectives are presented.

Contextual Notes

The discussion includes references to various academic sources, but the specific assumptions or definitions related to Boyer-Lindquist coordinates are not fully explored. The relationship between auxiliary variables and the primary coordinates remains unresolved.

Moore1879
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Hey,
I was wondering if someone could kindly explain to me everything they can about Boyer-linquist coordinates. I was looking at them and I think I saw something, but I'm not sure. So, someone please tell me everything about them.

Thanks
 
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That's a rather vague question. Why do you Kerr about them?
 
pervect said:
That's a rather vague question. Why do you Kerr about them?

My, you are a low-down, punning KERR, I think I'll run over you with my KERR.

And no, I don't know how he pronounced it either.
 
Some possibly useful references:

Boyer, R. H. and Lindquist, R. W. "Maximal Analytic Extension of the Kerr Metric." J. Math. Phys. 8, 265-281, 1967.
http://link.aip.org/link/?jmp/8/265

http://math.ucr.edu/home/baez/RelWWW/history.html
http://www.eftaylor.com/pub/SpinNEW.pdf
http://monopole.ph.qmul.ac.uk/~bill/stg/stg_chapter_9.doc

http://members.tripod.com/~Albert51/bhole.htm
http://www.astro.ku.dk/~cramer/RelViz/text/geom_web/node4.html

http://www2.phys.canterbury.ac.nz/kerrfest/Carter.pdf
http://odarragh.astro.utoronto.ca/GR-II_presentations/Grunhut_GRII.pdf
 
Last edited by a moderator:
You guys do realize that Schwarzschild's solution also utilized the boyer-lindquist coordinates, right?
 
Moore1879 said:
You guys do realize that Schwarzschild's solution also utilized the boyer-lindquist coordinates, right?

Boyer-Lindquist coordinates (r,theta,phi,t) are a generalization of Schwarzschild coordinates (r,theta,phi,t) just as the Kerr solution is a generalization of the Schwarzschild solution.

See for instance
http://www.math.ucla.edu/~bon/kerr/intro2.html
http://scienceworld.wolfram.com/physics/KerrBlackHole.html

There are some auxillary variables used in the expression for the BL metric
[tex]\Delta[/tex], [tex]\rho[/tex], however these variables do not appear as differentials in the metric (dr^2, etc.) in the descriptions I've seen (those above plus MTW's Gravitation) so these variables wouldn't qualify as coordinates in my opinion.

I really don't know what information you are looking for, your questions have been a bit vague so far.
 
Last edited by a moderator:

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