82 citations · 268 across the 14 of their papers we have counts for
14 papers
Physical-space estimates for axisymmetric waves on extremal Kerr spacetime
Elena Giorgi, Jingbo Wan
We study axisymmetric solutions to the wave equation on extremal Kerr backgrounds and obtain integrated local energy decay (or Morawetz estimates) through an analysis \textit{exclu…
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…
Numerical computation of second order vacuum perturbations of Kerr black holes
Justin L. Ripley, Nicholas Loutrel, Elena Giorgi +1
Motivated by the desire to understand the leading order nonlinear gravitational wave interactions around arbitrarily rapidly rotating Kerr black holes, we describe a numerical code…
Second Order Perturbations of Kerr Black Holes: Reconstruction of the Metric
Nicholas Loutrel, Justin L. Ripley, Elena Giorgi +1
Motivated by gravitational wave observations of binary black hole mergers, we present a procedure to compute the leading order nonlinear gravitational wave interactions around a Ke…
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: the full subextremal range
Elena Giorgi
We prove the linear stability of subextremal Reissner-Nordström spacetimes as solutions to the Einstein-Maxwell equation. We make use of a novel representation of gauge-invariant q…
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…
Boundedness and decay for the Teukolsky system of spin on Reissner-Nordström spacetime: the case
Elena Giorgi
We prove boundedness and polynomial decay statements for solutions to the spin generalized Teukolsky system on a Reissner-Nordström background with small charge. The first e…
Coupled gravitational and electromagnetic perturbations of Reissner-Nordström spacetime in a polarized setting II - Combined estimates for the system of wave equations
Elena Giorgi
In a previous paper on coupled gravitational and electromagnetic perturbations of Reissner-Nordström spacetime in a polarized setting, we derived a system of wave equations for two…
Coupled gravitational and electromagnetic perturbations of Reissner-Nordström spacetime in a polarized setting
Elena Giorgi
We derive a system of equations governing the coupled gravitational and electromagnetic perturbations of Reissner-Nordström spacetime. The equations are derived in the context of g…
On the local extension of Killing vector fields in electrovacuum spacetimes
Elena Giorgi
We revisit the problem of extension of a Killing vector field in a spacetime which is solution to the Einstein-Maxwell equation. This extension has been proved to be unique in the…