209 citations · 646 across the 17 of their papers we have counts for
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gr-qc2013
The characteristic gluing problem and conservation laws for the wave equation on null hypersurfaces
Stefanos Aretakis
We obtain necessary and sufficient conditions for the existence of "conservation laws" on null hypersurfaces for the wave equation on general four-dimensional Lorentzian manifolds.…
gr-qc2013
On a foliation-covariant elliptic operator on null hypersurfaces
Stefanos Aretakis
We introduce a new elliptic operator on null hypersurfaces of four-dimensional Lorentzian manifolds. This operator depends on the first and second fundamental forms of the sections…
gr-qc2013★ 45 cited
Nonlinear instability of scalar fields on extremal black holes
Stefanos Aretakis
We prove a new type of finite time blow-up for a class of semilinear wave equations on extremal black holes. The initial data can be taken to be arbitrarily close to the trivial da…