17 citations · 39 across the 18 of their papers we have counts for
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gr-qc2023★ 1 cited
Some rigidity results for compact initial data sets
Gregory J. Galloway, Abraão Mendes
In this paper, we prove several rigidity results for compact initial data sets, in both the boundary and no boundary cases. In particular, under natural energy, boundary, and topol…
gr-qc2020★ 17 cited
Initial data rigidity results
Michael Eichmair, Gregory J. Galloway, Abraão Mendes
We present several rigidity results for initial data sets motivated by the positive mass theorem. An important step in our proofs here is to establish conditions that ensure that a…
gr-qc2015★ 1 cited
Rigidity of marginally outer trapped 2-spheres
Gregory J. Galloway, Abraao Mendes
In a matter-filled spacetime, perhaps with positive cosmological constant, a stable marginally outer trapped 2-sphere must satisfy a certain area inequality. Namely, as discussed i…