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It is well known that observations of the cosmic microwave background (CMB) are highly sensitive to the spatial curvature of the Universe, k.
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This is not true of Baryon Acoustic Oscillations (BAOs) when the Universe is inhomogeneous. The curvature in the background will affect the position and amplitude of the oscillations in the galaxy power spectrum in a far more complicated way. Hence we do not use BAOs
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This is due to the value of S 2 > 1 S_{2}>1 , from Fig. 1
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Shell crossing occurs when a 2 = 0 a_{2}=0 , and indicates a breakdown of the model due to the neglect of pressure in the matter content
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