11 citations · 26 across the 4 of their papers we have counts for
9 papers
Wave equations estimates and the nonlinear stability of slowly rotating Kerr black holes
Elena Giorgi, Sergiu Klainerman, Jeremie Szeftel
This is the last part of our proof of the nonlinear stability of the Kerr family for small angular momentum, i.e , in which we deal with the nonlinear wave type estimat…
The Carter tensor and the physical-space analysis in perturbations of Kerr-Newman spacetime
Elena Giorgi
The Carter tensor is a Killing tensor of the Kerr-Newman spacetime, and its existence implies the separability of the wave equation. Nevertheless, the Carter operator is known to c…
A general formalism for the stability of Kerr
Elena Giorgi, Sergiu Klainerman, Jérémie Szeftel
The goal of this paper is to provide a geometric framework for analyzing the uniform decay properties of solutions to the Teukolsky equation in the fully nonlinear setting of pertu…
Electromagnetic-gravitational perturbations of Kerr-Newman spacetime: the Teukolsky and Regge-Wheeler equations
Elena Giorgi
We derive the equations governing the linear stability of Kerr-Newman spacetime to coupled electromagnetic-gravitational perturbations. The equations generalize the celebrated Teuk…
The linear stability of Reissner-Nordström spacetime for small charge
Elena Giorgi
In this paper, we prove the linear stability to gravitational and electromagnetic perturbations of the Reissner-Nordström family of charged black holes with small charge. Solutions…
Boundedness and decay for the Teukolsky equation of spin on Reissner-Nordström spacetime: the spherical mode
Elena Giorgi
We prove boundedness and polynomial decay statements for solutions to the spin Teukolsky-type equation projected to the spherical harmonic on Reissner-Nordström spa…