10 papers
The quasinormal modes of Kerr-Newman black holes: a separated approach
Kyriakos Destounis, Vitor Cardoso, Peter Hintz
We compute Kerr-Newman quasinormal modes using a recently found exact separation of the gravitoelectric perturbation equations. For each spin-label , a matrix angular ordin…
Perturbations of Kerr-Newman black holes: separation and mode stability
Peter Hintz
We study linearized perturbations of the subextremal Kerr-Newman black hole solution of the Einstein-Maxwell equations. We show how to overcome what Chandrasekhar called the "appar…
Mode stability for the Klein-Gordon equation on subextremal Kerr-de Sitter spacetimes
Peter Hintz
We prove mode stability for the Klein-Gordon equation on Kerr-de Sitter black hole spacetimes in the full subextremal range and for the range of squa…
Constraint damping on subextremal Kerr spacetimes
Peter Hintz
In the context of hyperbolic formulations of Einstein's field equations obtained via gauge fixing, constraint damping is a desirable feature that ensures that violations of the gau…
Nonlinear stability of subextremal Kerr black holes
Peter Hintz
We settle the global nonlinear stability problem for the family of Kerr black holes in the full subextremal range: spacetimes evolving from initial data close to those of a subextr…
Conditional non-linear stability of Kerr-de Sitter spacetimes in the full subextremal range
Peter Hintz, Oliver Petersen, András Vasy
We show the stability of Kerr-de Sitter black holes, in the full subextremal range, as solutions of the vacuum Einstein equation with a positive cosmological constant under the ass…
Linear stability of Kerr black holes in the full subextremal range
Dietrich Häfner, Peter Hintz, András Vasy
We prove, unconditionally, the linear stability of the Kerr family in the full subextremal range. On an analytic level, our proof is the same as that of our earlier paper in the sl…
Stability of the expanding region of Kerr-de Sitter spacetimes and smoothness at the conformal boundary
Peter Hintz, András Vasy
We give a new proof of the recent result by Fournodavlos-Schlue on the nonlinear stability of the expanding region of Kerr-de Sitter spacetimes as solutions of the Einstein vacuum…
Asymptotically de Sitter metrics from scattering data in all dimensions
Peter Hintz
In spacetime dimensions , we show the existence of solutions of the Einstein vacuum equations which describe asymptotically de Sitter spacetimes with prescribed smooth d…
Universality of the quantum energy flux at the inner horizon of asymptotically de Sitter black holes
Peter Hintz, Christiane Klein
Recently, it was found that the energy flux of a free scalar quantum field on a Reissner-Nordström-de Sitter spacetime has a quadratic divergence towards the inner horizon of the b…