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gr-qc2022
A Penrose-type inequality with angular momenta for black holes with 3-sphere horizon topology
Aghil Alaee, Hari K. Kunduri
We establish a Penrose-type inequality with angular momenta for four dimensional, biaxially symmetric, maximal, asymptotically flat initial data sets for the Einstein equ…
math.DG2022★ 1 cited
The Positive Energy Theorem for Asymptotically Hyperboloidal Initial Data Sets With Toroidal Infinity and Related Rigidity Results
Aghil Alaee, Pei-Ken Hung, Marcus Khuri
We establish the positive energy theorem and a Penrose-type inequality for 3-dimensional asymptotically hyperboloidal initial data sets with toroidal infinity, weakly trapped bound…