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Recently, a general analysis has been given of the stability with respect to axisymmetric perturbations of stationary-axisymmetric black holes and black branes in vacuum general relativity in arbitrary dimensions.
Stability of a Schwarzschild singularity
T. Regge and J. A. Wheeler · 1957
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Dynamical Instability of Gaseous Masses Approaching the Schwarzschild Limit in General Relativity
S. Chandrasekhar · 1964
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Necessity of the energy principles for magnetostatic stability
G. Laval, C. Mercier, and R. Pellat · 1965
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Effective potential for even parity Regge-Wheeler gravitational perturbation equations
F. J. Zerilli · 1970
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Axisymmetric Black Hole Has Only Two Degrees of Freedom
B. Carter · 1971
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The Large scale structure of space-time
S.W. Hawking and G.F.R. Ellis · 1973
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Note on the stability of the Schwarzschild metric
R. M. Wald · 1980
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The Laplacian on asymptotically flat manifolds and the specification of scalar curvature
M. Cantor and D. Brill · 1981
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Functional Analysis
M. Reed and B. Simon · 1981
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Kaluza-Klein Monopole
R. Sorkin · 1983
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Magnetic Monopoles in Kaluza-Klein Theories
D. J. Gross and M. J. Perry · 1983
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General Relativity
R. M. Wald · 1984
Cited alongside, same era.
Linear stability of Schwarzschild under perturbations which are nonvanishing on the bifurcation two-sphere
B. S. Kay and R. M. Wald · 1987
Cited alongside, same era.
Functional Analysis
F. Riesz and B. Sz.-Nagy · 1990
Cited alongside, same era.
On the instability of the n=1 Einstein Yang-Mills black holes and mathematically related systems
R. M. Wald · 1992
Cited alongside, same era.
The global nonlinear stability of the Minkowski space
D. Christodoulou and S. Klainerman · 1993
Cited alongside, same era.
Maximal hypersurfaces in stationary asymptotically flat spacetimes
P. T. Chrusciel and R. M. Wald · 1994
Cited alongside, same era.
Decay of Solutions of the Wave Equation in the Kerr Geometry
F. Finster, N. Kamran, J. Smoller, and S.-T. Yau · 2006
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A Generalization of Hawking’s black hole topology theorem to higher dimensions
G. J. Galloway and R. Schoen · 2006
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General variational principle for spherically symmetric perturbations in diffeomorphism covariant theories
M. D. Seifert and R. M. Wald · 2007
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Hidden symmetries and decay for the wave equation on the Kerr spacetime
Andersson L. and Blue P · 2009
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General Relativity and the Einstein Equations
Y. Choquet-Bruhat · 2009
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On the Riemannian Penrose inequality in dimensions less than 8
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Some properties of Noether charge and a proposal for dynamical black hole entropy
V. Iyer and R. M. Wald · 1994
Cited alongside, same era.
Scalar Curvature Deformation and a Gluing Construction for the Einstein Constraint Equations
J. Corvino · 2000
Cited alongside, same era.
Stability of higher dimensional Schwarzschild black holes
A. Ishibashi and H. Kodama · 2003
Cited alongside, same era.
On mapping properties of the general relativistic constraints operator in weighted function spaces, with applications
P. T. Chrusciel and E. Delay · 2003
Cited alongside, same era.
Local existence of dynamical and trapping horizons
L. Andersson, M. Mars, and W. Simon · 2005
Cited alongside, same era.
Lectures on black holes and linear waves
M. Dafermos and I. Rodnianski
Cited in the paper.
H. L. Bray and D. A. Lee · 2009
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Local decay of waves on asymptotically flat stationary space-times
Tataru D · 2010
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Black hole instabilities and local Penrose inequalities
P. Figueras, K. Murata, and H. S. Reall · 2011
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Stability of black holes and black branes
S. Hollands and R. M. Wald · 2013
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M. Dafermos, I. Rodnianski, and Y. Shlapentokh-Rothman · 2014
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Reflection Symmetry in Higher Dimensional Black Hole Spacetimes
J. S. Schiffrin and R. M. Wald · 2015
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