37 citations · 132 across the 17 of their papers we have counts for
14 papers · 1 filter
Existence of uniform Temple charts and applications to null distance
Benjamin Meco, Anna Sakovich, Christina Sormani
In this paper, we prove that Temple's cylindrical future null coordinate charts can be constructed uniformly and we estimate the gradients of their optical functions. We then apply…
A definition of the mass aspect function for weakly regular asymptotically hyperbolic manifolds
Romain Gicquaud, Anna Sakovich
In contrast to the well-known and unambiguous notion of ADM mass for asymptotically Euclidean manifolds, the notion of mass for asymptotically hyperbolic manifolds admits several i…
The Null distance encodes causality
A. Sakovich, C. Sormani
A Lorentzian manifold endowed with a time function, , can be converted into a metric space using the null distance, , defined by Sormani and Vega. We show that if the…
The Jang equation and the positive mass theorem in the asymptotically hyperbolic setting
Anna Sakovich
We solve the Jang equation with respect to asymptotically hyperbolic "hyperboloidal" initial data. The results are applied to give a non-spinor proof of the positive mass theorem i…
Almost Rigidity of the Positive Mass Theorem for Asymptotically Hyperbolic Manifolds with Spherical Symmetry
A Sakovich, C Sormani
We use the notion of intrinsic flat distance to address the almost rigidity of the positive mass theorem for asymptotically hyperbolic manifolds. In particular, we prove that a seq…
A density theorem for asymptotically hyperbolic initial data satisfying the dominant energy condition
Mattias Dahl, Anna Sakovich
When working with asymptotically hyperbolic initial data sets for general relativity it is convenient to assume certain simplifying properties. We prove that the subset of initial…