9 citations · 29 across the 8 of their papers we have counts for
5 papers · 1 filter
New spinorial mass-quasilocal angular momentum inequality for initial data with marginally future trapped surface
Jarosław Kopiński, Alberto Soria, Juan A. Valiente Kroon
We prove a new geometric inequality that relates the Arnowitt-Deser-Misner mass of initial data to a quasilocal angular momentum of a marginally future trapped surface inner bounda…
On the Penrose inequality along null hypersurfaces
Marc Mars, Alberto Soria
The null Penrose inequality, i.e. the Penrose inequality in terms of the Bondi energy, is studied by introducing a funtional on surfaces and studying its properties along a null hy…
The asymptotic behaviour of the Hawking energy along null asymptotically flat hypersurfaces
Marc Mars, Alberto Soria
In this work we obtain the limit of the Hawking energy of a large class of foliations along general null hypersurfaces satisfying a weak notion of asymptotic flatness. The foli…
Geometry of normal graphs in Euclidean space and applications to the Penrose inequality in Minkowski
Marc Mars, Alberto Soria
The Penrose inequality in Minkowski is a geometric inequality relating the total outer null expansion and the area of closed, connected and spacelike codimension-two surfaces S in…
On the Penrose inequality for dust null shells in the Minkowski spacetime of arbitrary dimension
Marc Mars, Alberto Soria
A particular, yet relevant, particular case of the Penrose inequality involves null shells propagating in the Minkowski spacetime. Despite previous claims in the literature, the va…