Generalizes ⟨Φ̂²⟩_ren and flux computations to non-minimal ξ near Kerr inner horizon along axis, finding per-mode ringdown (frequencies twice classical QNMs) then r_*^{-2ℓ-3} tails approaching finite value.
The formation of a weak null singularity in the interior of generic rotating black holes
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
abstract
Given a characteristic initial value problem with smooth data representing a dynamical event horizon settling down to that of Kerr in the subextremal, strictly rotating range with suitable upper and lower bounds, we prove that a weak null singularity forms, across which the spacetime metric is continuously extendible but not Lipschitz extendible. The bulk of the proof is a stability argument showing that a dynamical Teukolsky field can be approximated by a linear Teukolsky field, whose linear instability was proved in previous works.
fields
gr-qc 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
A technical note strengthens the linear instability of the Kerr Cauchy horizon to enable a nonlinear instability proof.
citing papers explorer
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Quantum fluxes and $\langle\hat{\Phi}^2\rangle$ for a non-minimally coupled scalar field: ringdown and tail on approaching the polar Kerr inner horizon
Generalizes ⟨Φ̂²⟩_ren and flux computations to non-minimal ξ near Kerr inner horizon along axis, finding per-mode ringdown (frequencies twice classical QNMs) then r_*^{-2ℓ-3} tails approaching finite value.
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A note on the instability of the Kerr Cauchy horizon under linearised gravitational perturbations
A technical note strengthens the linear instability of the Kerr Cauchy horizon to enable a nonlinear instability proof.