5 papers · 1 filter
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…