27 citations · 49 across the 5 of their papers we have counts for
6 papers
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…
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…
On the causal hierarchy of Lorentzian length spaces
L. Ake Hau, Armando J. Cabrera Pacheco, Didier A. Solis
In this work we provide the full description of the upper levels of the classical causal ladder for spacetimes in the context of Lorenztian length spaces, thus establishing the hie…
Stability of graphical tori with almost nonnegative scalar curvature
Armando J. Cabrera Pacheco, Christian Ketterer, Raquel Perales
By works of Schoen-Yau and Gromov-Lawson any Riemannian manifold with nonnegative scalar curvature and diffeomorphic to a torus is isometric to a flat torus. Gromov conjectured sub…
On the stability of the positive mass theorem for asymptotically hyperbolic graphs
Armando J. Cabrera Pacheco
The positive mass theorem states that the total mass of a complete asymptotically flat manifold with non-negative scalar curvature is non-negative; moreover, the total mass equals…
Asymptotically hyperbolic extensions and an analogue of the Bartnik mass
Armando J. Cabrera Pacheco, Carla Cederbaum, Stephen McCormick
The Bartnik mass is a quasi-local mass tailored to asymptotically flat Riemannian manifolds with non-negative scalar curvature. From the perspective of general relativity, these mo…