7 papers
Wave decay and horizon instability on strongly charged extremal Kerr-Newman black holes
Allen Juntao Fang, Elena Giorgi, Jingbo Wan
We prove the first boundedness and pointwise decay result for the scalar wave equation on rotating extremal black holes without any symmetry assumptions. The result applies to slow…
Cauchy data for multiple collapsing boson stars
Elena Giorgi, Dawei Shen, Jingbo Wan
We construct Cauchy initial data for the Einstein-Maxwell-Klein-Gordon (EMKG) system, which evolves in finite time into spacetimes containing multiple trapped surfaces. From a phys…
Einstein-Maxwell Equations on Mass-Centered GCM Hypersurfaces
Allen Juntao Fang, Elena Giorgi, Jingbo Wan
The resolution of the nonlinear stability of black holes as solutions to the Einstein equations relies crucially on imposing the right geometric gauge conditions. In the vacuum cas…
Mass-Centered GCM Framework in Perturbations of Kerr(-Newman)
Allen Juntao Fang, Elena Giorgi, Jingbo Wan
The nonlinear stability problem for black hole solutions of the Einstein equations critically depends on choosing an appropriate geometric gauge. In the vacuum setting, the use of…
Conservation Laws and Boundedness for Linearised Einstein--Maxwell Equations on the Reissner--Nordström Black Hole
Marios A. Apetroaie, Sam C. Collingbourne, Elena Giorgi
We study the linearised Einstein--Maxwell equations on the Reissner--Nordström spacetime and derive the canonical energy conservation law in double null gauge. In the spirit of the…
Boundedness and Decay for the Teukolsky System in Kerr-Newman Spacetime II: The Case , in Axial Symmetry
Elena Giorgi, Jingbo Wan
We establish boundedness and polynomial decay results for the Teukolsky system in the exterior spacetime of very slowly rotating and strongly charged sub-extremal Kerr-Newman black…
Boundedness and Decay for the Teukolsky System in Kerr-Newman Spacetime I: The Case
Elena Giorgi
We prove boundedness and polynomial decay statements for solutions of the Teukolsky system for electromagnetic-gravitational perturbations of a Kerr-Newman exterior background, wit…