Consider the hyperbolic coordinate transformation limited to the coordinate wedge a 1 > 0 and ?a 1
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Consider the hyperbolic coordinate transformation
limited to the coordinate wedge a1 > 0 and ?a121, see Figure 3.13. How does the operation ofscaling a vector affect the hyperbolic radius ? and the hyperbolic angle ?? Use the fact that cosh2 ? ? sinh2?? = 1 holds.
Figure 3.13.
Transcribed Image Text:
aj =p cosh ø a2 = p sinh ø, 1.0 1.0 0.5 0.5 0.0 0.0 0.5 1.0 1.5 2,0 2.5 0.5 1.0 1.5 2.0 2.5 -0.5 -0.5 -1.0 -1.0
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