The effective shock wave singularity at the outgoing leg of the inner horizon of a linearly perturbed fast spinning black hole is studied numerically for either scalar field or vacuum gravitational perturbations. We demonstrate the occurrence of the Marolf-Ori singularity - including changes of order unity in the scalar field $\varphi$ for the scalar field model, and in the Weyl scalars ${\psi }_0$ and ${\psi }_4$ (rescaled appropriately by the horizon function $\mathrm{\Delta }$) and the Kretschmann curvature scalar $K$ for the vacuum gravitational perturbations model - for both null and timelike geodesic observers. We quantify the shock sharpening effect and show that in all cases its rate agrees with expectations.

• Received 10 January 2019

DOI:https://doi.org/10.1103/PhysRevD.99.081501