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The global non-linear stability of the Kerr–de Sitter family of black holes
We establish the full global non-linear stability of the Kerr–de Sitter family of black holes, as
solutions of the initial value problem for the Einstein vacuum equations with positive …
solutions of the initial value problem for the Einstein vacuum equations with positive …
Quantum instability of the Cauchy horizon in Reissner–Nordström–deSitter spacetime
S Hollands, RM Wald, J Zahn - Classical and Quantum Gravity, 2020 - iopscience.iop.org
In classical general relativity, the values of fields on spacetime are uniquely determined by
their values at an initial time within the domain of dependence of this initial data surface …
their values at an initial time within the domain of dependence of this initial data surface …
Linear stability of slowly rotating Kerr black holes
We prove the linear stability of slowly rotating Kerr black holes as solutions of the Einstein
vacuum equations: linearized perturbations of a Kerr metric decay at an inverse polynomial …
vacuum equations: linearized perturbations of a Kerr metric decay at an inverse polynomial …
Mathematical study of scattering resonances
Mathematical study of scattering resonances | Bulletin of Mathematical Sciences Skip to main
content SpringerLink Account Menu Find a journal Publish with us Track your research Search …
content SpringerLink Account Menu Find a journal Publish with us Track your research Search …
[HTML][HTML] Analysis of linear waves near the Cauchy horizon of cosmological black holes
We show that linear scalar waves are bounded and continuous up to the Cauchy horizon of
Reissner–Nordström–de Sitter and Kerr–de Sitter spacetimes and in fact decay …
Reissner–Nordström–de Sitter and Kerr–de Sitter spacetimes and in fact decay …
Control of eigenfunctions on surfaces of variable curvature
We prove a microlocal lower bound on the mass of high energy eigenfunctions of the
Laplacian on compact surfaces of negative curvature, and more generally on surfaces with …
Laplacian on compact surfaces of negative curvature, and more generally on surfaces with …
Spectral gaps, additive energy, and a fractal uncertainty principle
We obtain an essential spectral gap for n-dimensional convex co-compact hyperbolic
manifolds with the dimension δ δ of the limit set close to n-1\over 2 n-1 2. The size of the gap …
manifolds with the dimension δ δ of the limit set close to n-1\over 2 n-1 2. The size of the gap …
Asymptotics of linear waves and resonances with applications to black holes
We describe asymptotic behavior of linear waves on Kerr (–de Sitter) black holes and more
general Lorentzian manifolds, providing a quantitative analysis of the ringdown …
general Lorentzian manifolds, providing a quantitative analysis of the ringdown …
Semilinear wave equations on asymptotically de Sitter, Kerr–de Sitter and Minkowski spacetimes
We show the small data solvability of suitable semilinear wave and Klein–Gordon equations
on geometric classes of spaces, which include so-called asymptotically de Sitter and Kerr …
on geometric classes of spaces, which include so-called asymptotically de Sitter and Kerr …
Decay of correlations for normally hyperbolic trap**
We prove that for evolution problems with normally hyperbolic trap** in phase space,
correlations decay exponentially in time. Normally hyperbolic trap** means that the …
correlations decay exponentially in time. Normally hyperbolic trap** means that the …