Shock singularity

In black hole physics, the shock singularity, also called the shockwave singularity,[1] the Malorf-Ori singularity,[2][3] or the outflying singularity,[2][4] is a null singularity propagating out of the outgoing section of the inner horizon of a spinning or charged black hole that effectively manifests as a gravitational shockwave.[1][2] Perturbations to the inner horizon result in abrupt changes in the amplitude of perturbing fields and the metric tensor itself, manifesting as an effective shockwave for sufficiently late-infall observers (veh⪆15-20).[1][5] The singularity was first described in 2012 by Donald Marolf and Amos Ori for classical Reissner-Nordström and Kerr black holes.[1] It was numerically confirmed for the spherical charged case in 2016 by Ehud Eilon and Amos Ori.[5]

  1. ^ a b c d Marolf, Donald; Ori, Amos (11 December 2012). "Outgoing gravitational shock wave at the inner horizon: The late time limit of black hole interiors". Physical Review D. 86 (12). American Physical Society: 124026. arXiv:1109.5139. Bibcode:2012PhRvD..86l4026M. doi:10.1103/PhysRevD.86.124026. Retrieved 12 May 2025.
  2. ^ a b c Burko, Lior M.; Khanna, Gaurav (April 2019). "Marolf-Ori singularity inside fast spinning black holes". Physical Review D. 99 (8). American Physical Society: 081501. arXiv:1901.03413. Bibcode:2019PhRvD..99h1501B. doi:10.1103/physrevd.99.081501. Retrieved 12 May 2025.
  3. ^ Burko, Lior M.; Khanna, Gaurav; Zenginoğlu, Anıl (20 November 2015). "Cauchy-horizon singularity inside perturbed Kerr black holes". Physical Review D. 93 (4). American Physical Society: 041501. arXiv:1601.05120. doi:10.1103/physrevd.93.041501.
  4. ^ Thorne, Kip (7 November 2014). The Science of Interstellar. W. W. Norton & Company. p. 233. ISBN 978-0393351378.
  5. ^ a b Eilon, Ehud; Ori, Amos (14 October 2016). "Numerical study of the gravitational shock wave inside a spherical charged black hole". Physical Review D. 94 (10). American Physical Society: 104060. arXiv:1610.04355. Bibcode:2016PhRvD..94j4060E. doi:10.1103/PhysRevD.94.104060. S2CID 118564164.

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