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math.DG2023
Families of non time-symmetric initial data sets and Penrose-like energy inequalities
Armando J. Cabrera Pacheco, Markus Wolff
Motivated by solving the constraint equations in the evolutionary form suggested by Rácz, we propose a family of asymptotically flat initial data sets which are "asymptotically sph…
math.DG2023
Intrinsic flat stability of the positive mass theorem for asymptotically hyperbolic graphical manifolds
Armando J. Cabrera Pacheco, Melanie Graf, Raquel Perales
The rigidity of the Riemannian positive mass theorem for asymptotically hyperbolic manifolds states that the total mass of such a manifold is zero if and only if the manifold is is…