- #1

formodular

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https://en.wikipedia.org/wiki/Anti-de_Sitter_space#Poincar.C3.A9_coordinates

starting from global coordinates, as given here:

https://en.wikipedia.org/wiki/Anti-de_Sitter_space#Global_coordinates

The coordinate transformations starting from global line element (in the wikipedia notation) ##ds^2 = \alpha^2(-\cosh^2 \rho d \tau^2 + d \rho^2 + \sinh^2 \rho d \Omega_{n-2}^2)## to ##ds^2 = \frac{\alpha^2}{z^2}(dz^2 + dx_{\mu} dx^{\mu})## seem to be pulled out of thin air, even in Zee's Gravity book - is there a simple straight-forward way to motivate the coordinate transformations?