8 papers
(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…
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…
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_{\r…
Horizons of some asymptotically stationary spacetimes
Peter Hintz
On a class of dynamical spacetimes which are asymptotic as to a stationary spacetime containing a horizon , we show the existence of a unique null hyper…
Inverse Nonlinear Scattering by a Metric
Peter Hintz, Antônio Sá Barreto, Gunther Uhlmann +1
We study the inverse problem of determining a time-dependent globally hyperbolic Lorentzian metric from the scattering operator for semilinear wave equations.
Gluing small black holes along timelike geodesics III: construction of true solutions and extreme mass ratio mergers
Peter Hintz
Given a smooth globally hyperbolic -dimensional spacetime satisfying the Einstein vacuum equations (possibly with cosmological constant) and an inextendible timelike…
Gluing small black holes along timelike geodesics II: uniform analysis on glued spacetimes
Peter Hintz
Given a smooth globally hyperbolic -dimensional spacetime satisfying the Einstein vacuum equations (possibly with cosmological constant) and an inextendible timelike…
Local theory of wave equations with timelike curves of conic singularities
Peter Hintz
We develop a general theory for the existence, uniqueness, and higher regularity of solutions to wave-type equations on Lorentzian manifolds with timelike curves of cone-type singu…