5 citations · 11 across the 4 of their papers we have counts for
8 papers
Characteristic gluing to the Kerr family and application to spacelike gluing
Stefanos Aretakis, Stefan Czimek, Igor Rodnianski
This is the third paper in a series of papers adressing the characteristic gluing problem for the Einstein vacuum equations. We provide full details of our characteristic gluing (i…
The characteristic gluing problem for the Einstein vacuum equations. Linear and non-linear analysis
Stefanos Aretakis, Stefan Czimek, Igor Rodnianski
This is the second paper in a series of papers adressing the characteristic gluing problem for the Einstein vacuum equations. We solve the codimension- characteristic gluing pr…
The characteristic gluing problem for the Einstein equations and applications
Stefanos Aretakis, Stefan Czimek, Igor Rodnianski
In this paper we introduce the characteristic gluing problem for the Einstein vacuum equations. We present a codimension- gluing construction for characteristic initial data wh…
Late-time tails and mode coupling of linear waves on Kerr spacetimes
Yannis Angelopoulos, Stefanos Aretakis, Dejan Gajic
We provide a rigorous derivation of the precise late-time asymptotics for solutions to the scalar wave equation on subextremal Kerr backgrounds, including the asymptotics for proje…
A non-degenerate scattering theory for the wave equation on extremal Reissner-Nordstrom
Yannis Angelopoulos, Stefanos Aretakis, Dejan Gajic
It is known that sub-extremal black hole backgrounds do not admit a (bijective) non-degenerate scattering theory in the exterior region due to the fact that the redshift effect at…
Nonlinear scalar perturbations of extremal Reissner-Nordström spacetimes
Yannis Angelopoulos, Stefanos Aretakis, Dejan Gajic
We present the first rigorous study of nonlinear wave equations on extremal black hole spacetimes without any symmetry assumptions on the solution. Specifically, we prove global ex…