# Boyer-linquist Coordinates

1. Jun 1, 2005

### Moore1879

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

2. Jun 1, 2005

### pervect

Staff Emeritus
That's a rather vague question. Why do you Kerr about them?

3. Jun 1, 2005

Staff Emeritus
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.

4. Jun 1, 2005

### robphy

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

http://members.tripod.com/~albert51/bhole.htm
http://www.astro.ku.dk/~cramer/RelViz/text/geom_web/node4.html [Broken]

http://www2.phys.canterbury.ac.nz/kerrfest/Carter.pdf
http://odarragh.astro.utoronto.ca/GR-II_presentations/Grunhut_GRII.pdf [Broken]

Last edited by a moderator: May 2, 2017
5. Jun 3, 2005

### Moore1879

You guys do realize that Schwarzchild's solution also utilized the boyer-lindquist coordinates, right?

6. Jun 3, 2005

### pervect

Staff Emeritus
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 [Broken]
http://scienceworld.wolfram.com/physics/KerrBlackHole.html

There are some auxillary variables used in the expression for the BL metric
$$\Delta$$, $$\rho$$, 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: May 2, 2017