3 papers
math.AP2026
(Non-)Linear waves on asymptotically flat spacetimes. II: trapping, bound states, nonlinear applications
Peter Hintz
We study wave-type equations on dynamical spacetimes that settle down to a subextremal Kerr black hole spacetime. We prove strong estimates for solutions of (tensorial) linear wave…
math.AP2025
The asymptotic behavior of simple eigenvalues of particle-in-well systems
Peter Hintz, Aaron Moser
The particle in a well in dimension one is a classical problem in quantum mechanics. We study higher-dimensional analogues of the problem, where the well is a smooth domain in $\ma…
gr-qc2025
Quasinormal modes of near-extremal Reissner-Nordström-de Sitter spacetimes
Peter Hintz
We study quasinormal modes (QNMs) for the Klein-Gordon equation on Reissner-Nordström-de Sitter black holes with near-extremal charge. We locate all QNMs of size $\mathcal{O}(κ_{…