Physical objects approaching the Cauchy horizon of a rapidly rotating Kerr black hole

Caroline Mallary, Gaurav Khanna, and Lior M. Burko
Phys. Rev. D 98, 104024 – Published 16 November 2018

Abstract

We solve the 2+1-dimensional Teukolsky equation numerically for the Weyl scalars ψ0 and ψ4 along a time-like geodesic approaching the Cauchy horizon of a rapidly rotating perturbed Kerr black hole. We find that both the amplitude and frequency of the Weyl scalars agree with the results of linear perturbation analysis. We then model a physical object by a simple damped harmonic oscillator, which is driven by an external force that mimics the tidal force experienced by the infalling object. We use this model to find the total deformation of the object at the Cauchy horizon, and the resonant effect when the driving force’s frequency matches the internal frequency of the oscillator that models the object.

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  • Received 17 July 2018

DOI:https://doi.org/10.1103/PhysRevD.98.104024

© 2018 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Caroline Mallary1, Gaurav Khanna1, and Lior M. Burko2

  • 1Department of Physics, University of Massachusetts, Dartmouth, Massachusetts 02747, USA
  • 2School of Science and Technology, Georgia Gwinnett College, Lawrenceville, Georgia 30043, USA

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Issue

Vol. 98, Iss. 10 — 15 November 2018

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