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Orion1
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According to Wikipedia, the equation for the Kerr metric is:
[tex]c^{2} d\tau^{2} = \left( 1 - \frac{r_{s} r}{\rho^{2}} \right) c^{2} dt^{2} - \frac{\rho^{2}}{\Lambda^{2}} dr^{2} - \rho^{2} d\theta^{2} - \left( r^{2} + \alpha^{2} + \frac{r_{s} r \alpha^{2}}{\rho^{2}} \sin^{2} \theta \right) \sin^{2} \theta \ d\phi^{2} + \frac{2r_{s} r\alpha \sin^{2} \theta }{\rho^{2}} \, c \, dt \, d\phi[/tex]
However, according to four other references listed in Reference and equations listed as attachment for brevity, the 'Delta/Lambda' function is not squared within the metric?
[tex]\frac{\rho^{2}}{\Lambda^{2}}[/tex] ?
Which equation reference is the correct equation solution for the Kerr metric?
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Reference:
http://en.wikipedia.org/wiki/Kerr_metric#Mathematical_form"
http://relativity.livingreviews.org/open?pubNo=lrr-2004-9&page=articlesu25.html"
http://www.astro.ku.dk/~milvang/RelViz/000_node12.html"
http://arxiv.org/PS_cache/gr-qc/pdf/0201/0201080v4.pdf"
http://www.authorstream.com/Presentation/Waldarrama-31254-Kerr-Metric-Rotating-Electrically-Neutral-Black-Holes-Assumptions-Derivation-Abridged-Wh-the-as-Entertainment-ppt-powerpoint/"
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