Fast scrambling of mutual information in Kerr- <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>AdS</mml:mi><mml:mn>4</mml:mn></mml:msub></mml:math> spacetime

We compute the disruption of mutual information between hemispherical subsystems on left and right CFT$s$ a Thermofield Double state described by Kerr geometry in $AdS_4$ due to shockwaves along equatorial plane. The considered respect axi-symmetry geometry. At late times is given lengthening HRT surface connecting two subsystems, we minimum value Lyapunov index-$\lambda_L^{(min)}$ at find that it bounded $\kappa=\frac{2\pi T_H}{(1-\mu\, \mathcal{L})}$ where $\mu$ horizon velocity $\mathcal{L}$ angular momentum per unit energy shockwave. very scrambling time for such system governed $\kappa$ with $\kappa t_*=\log \mathcal{S}$ large black holes entropy $\mathcal{S}$. also term increases $\log(1-\mu\,\mathcal{L})^{-1}$ but which does not scale