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Chinese Physics, 2001, Vol. 10(9): 783-786    DOI: 10.1088/1009-1963/10/9/302
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OPTICAL SPACE OF THE KERR SOLUTIONS

Lü Jun-li (吕君丽)
Department of Physics, Hunan Normal University, Changsha 410081, China
Abstract  In this paper, we discuss the optical geometry of the Kerr solutions, and show the embedding diagram at the equator $\theta=\pi/2$ for the optical space of the Kerr solution with $a/M=1$. It is noticed that at the equator $\theta=\pi/2$, the Gaussian curvature K for the ordinary space is negative, and the $\stackrel{\sim}{K}$ for the optical space is positive.
Keywords:  optical geometry      embedding diagrams      Gaussian curvatures  
Received:  06 November 2000      Revised:  05 May 2001      Accepted manuscript online: 
PACS:  97.60.Lf (Black holes)  
  04.70.-s (Physics of black holes)  
  04.20.-q (Classical general relativity)  
  95.30.Sf (Relativity and gravitation)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 19874020).

Cite this article: 

Lü Jun-li (吕君丽) OPTICAL SPACE OF THE KERR SOLUTIONS 2001 Chinese Physics 10 783

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