3 papers
gr-qc2025
Area-charge inequalities and rigidity of time-symmetric initial data sets
Tiarlos Cruz, Abraão Mendes
In this paper, we establish new area-charge inequalities for the boundary of time-symmetric Einstein-Maxwell initial data sets, in both compact and noncompact cases, under the domi…
math.DG2025
Area-charge inequality and local rigidity in charged initial data sets
Abraão Mendes
This paper investigates the geometric consequences of equality in area-charge inequalities for spherical minimal surfaces and, more generally, for marginally outer trapped surfaces…
math.DG2025
Rigidity results for free boundary hypersurfaces in initial data sets with boundary
Deivid de Almeida, Abraão Mendes
In this work, we present several rigidity results for compact free boundary hypersurfaces in initial data sets with boundary. Specifically, in the first part of the paper, we exten…