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This paper concludes the study, initiated by the authors in arXiv:2007.07211, of the Teukolsky equation of spin $\pm 1$ and spin $\pm 2$ on Kerr backgrounds in the full subextremal range of parameters $|a| < M$.
Stability for linearized gravity on the Kerr spacetime
L. Andersson, T. Bäckdahl, P. Blue, and S. Ma · 1903
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Effective results on uniformization and intrinsic GCM spheres in perturbations of Kerr
S. Klainerman and J. Szeftel · 1912
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Perturbations of a Rotating Black Hole. I. Fundamental Equations for Gravitational, Electromagnetic, and Neutrino-Field Perturbations
S. A. Teukolsky · 1973
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Amplification of electromagnetic and gravitational waves scattered by a rotating “black hole”
A. A. Starobinsky and S. M. Churilov · 1974
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Perturbations of a rotating black hole. III - Interaction of the hole with gravitational and electromagnetic radiation
S. A. Teukolsky and W. H. Press · 1974
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On the Equations Governing the Perturbations of the Schwarzschild Black Hole
S. Chandrasekhar · 1975
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Teukolsky–Starobinsky identities for arbitrary spin
E. G. Kalnins, W. Miller, and G. C. Williams · 1989
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Mode stability of the Kerr black hole
B. F. Whiting · 1989
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A general formalism for the stability of Kerr
E. Giorgi, S. Klainerman, and J. Szeftel · 2002
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Boundedness and decay for the Teukolsky equation on Kerr in the full subextremal range
Y. Shlapentokh-Rothman and R. Teixeira da Costa · 2007
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A new physical-space approach to decay for the wave equation with applications to black hole spacetimes
M. Dafermos and I. Rodnianski · 2010
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Decay for solutions of the wave equation on Kerr exterior spacetimes I-II: The cases
M. Dafermos and I. Rodnianski · 2010
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The global initial value problem in general relativity
D. Christodoulou · 2012
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Lectures on black holes and linear waves
M. Dafermos and I. Rodnianski · 2013
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Hidden symmetries and decay for the wave equation on the Kerr spacetime
L. Andersson and P. Blue · 2015
Earlier work this paper cites.
Quantitative Mode Stability for the Wave Equation on the Kerr Spacetime
Y. Shlapentokh-Rothman · 2015
Cited alongside, same era.
Decay for solutions of the wave equation on Kerr exterior spacetimes III: The full subextremal case
M. Dafermos, I. Rodnianski, and Y. Shlapentokh-Rothman · 2016
Cited alongside, same era.
Mode stability on the real axis
L. Andersson, S. Ma, C. Paganini, and B. F. Whiting · 2017
Cited alongside, same era.
The global non-linear stability of the Kerr–de Sitter family of black holes
P. Hintz and A. Vasy · 2018
Cited alongside, same era.
Boundedness and Decay for the Teukolsky Equation on Kerr Spacetimes I: The Case
M. Dafermos, G. Holzegel, and I. Rodnianski · 2019
Cited alongside, same era.
The linear stability of the Schwarzschild solution to gravitational perturbations
M. Dafermos, G. Holzegel, and I. Rodnianski · 2019
Linear stability of slowly rotating Kerr black holes
D. Häfner, P. Hintz, and A. Vasy · 2021
Later among the works it cites.
Kerr stability for small angular momentum
S. Klainerman and J. Szeftel · 2021
Later among the works it cites.
Sharp decay for Teukolsky equation in Kerr spacetimes
S. Ma and L. Zhang · 2021
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Frequency space analysis in General Relativity
R. Teixeira da Costa · 2021
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Nonlinear Radiation Gauge for Near Kerr Spacetimes
L. Andersson, T. Bäckdahl, P. Blue, and S. Ma · 2022
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Mode analysis for the linearized Einstein equations on the Kerr metric: the large a case
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The spin
F. Pasqualotto · 2019
Cited alongside, same era.
The wave equation on black rings and the linear stability of slowly rotating Kerr spacetimes
G. Benomio · 2020
Cited alongside, same era.
Stability of Minkowski space and polyhomogeneity of the metric
P. Hintz and A. Vasy · 2020
Cited alongside, same era.
Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations
S. Klainerman and J. Szeftel · 2020
Cited alongside, same era.
Uniform Energy Bound and Morawetz Estimate for Extreme Components of Spin Fields in the Exterior of a Slowly Rotating Kerr Black Hole I: Maxwell Field
S. Ma · 2020
Cited alongside, same era.
Uniform Energy Bound and Morawetz Estimate for Extreme Components of Spin Fields in the Exterior of a Slowly Rotating Kerr Black Hole II: Linearized Gravity
S. Ma · 2020
Cited alongside, same era.
L. Andersson, D. Häfner, and B. F. Whiting · 2022
Later among the works it cites.
A new gauge for gravitational perturbations of Kerr spacetimes I: The linearised theory
G. Benomio · 2022
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G. Benomio · 2022
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Wave equations estimates and the nonlinear stability of slowly rotating Kerr black holes
E. Giorgi, S. Klainerman, and J. Szeftel · 2022
Later among the works it cites.
The Case Against Smooth Null Infinity I: Heuristics and Counter-Examples
L. M. Kehrberger · 2022
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Construction of GCM Spheres in Perturbations of Kerr
S. Klainerman and J. Szeftel · 2022
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Construction of GCM hypersurfaces in perturbations of Kerr
D. Shen · 2022
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The wave equation on subextremal Kerr spacetimes with small non-decaying first order terms
G. Holzegel and C. Kauffman · 2023
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P. Millet · 2023
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