The global non-linear stability of the Kerr–de Sitter family of black holes

P Hintz, A Vasy - 2018‏ - projecteuclid.org
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 …

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 …

A sharp version of Price's law for wave decay on asymptotically flat spacetimes

P Hintz - Communications in Mathematical Physics, 2022‏ - Springer
We prove Price's law with an explicit leading order term for solutions ϕ (t, x) of the scalar
wave equation on a class of stationary asymptotically flat (3+ 1)-dimensional spacetimes …

Strong cosmic censorship in charged black-hole spacetimes: still subtle

V Cardoso, JL Costa, K Destounis, P Hintz, A Jansen - Physical Review D, 2018‏ - APS
It was recently shown that strong cosmic censorship may be violated in highly charged black-
hole spacetimes living in a universe with a positive cosmological constant. Several follow-up …

Linear stability of slowly rotating Kerr black holes

D Häfner, P Hintz, A Vasy - Inventiones mathematicae, 2021‏ - Springer
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 …

Mathematical study of scattering resonances

M Zworski - Bulletin of Mathematical Sciences, 2017‏ - Springer
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[HTML][HTML] Analysis of linear waves near the Cauchy horizon of cosmological black holes

P Hintz, A Vasy - Journal of Mathematical Physics, 2017‏ - pubs.aip.org
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 …

Optimal decay for solutions of the Teukolsky equation on the Kerr metric for the full subextremal range| a|< M

P Millet - arxiv preprint arxiv:2302.06946, 2023‏ - arxiv.org
We derive the large time asymptotics of initially regular and localized solutions of the
Teukolsky equation on the exterior of a subextremal Kerr black hole for any half integer spin …

Non-linear stability of the Kerr–Newman–de Sitter family of charged black holes

P Hintz - Annals of PDE, 2018‏ - Springer
We prove the global non-linear stability, without symmetry assumptions, of slowly rotating
charged black holes in de Sitter spacetimes in the context of the initial value problem for the …

Mode stability and shallow quasinormal modes of Kerr–de Sitter black holes away from extremality

P Hintz - Journal of the European Mathematical Society, 2024‏ - ems.press
A Kerr–de Sitter black hole is a solution. M; gƒ; m; a/of the Einstein vacuum equations with
cosmological constant ƒ> 0. It describes a black hole with mass m> 0 and specific angular …