7 citations · 11 across the 4 of their papers we have counts for
5 papers
On energy and its positivity in spacetimes with an expanding flat de Sitter background
Rodrigo Avalos, Eric Ling, Annachiara Piubello
The positive energy theorems are a fundamental pillar in mathematical general relativity. Originally proved by Schoen-Yau and later Witten, these theorems were established for asym…
Anisotropic examples of inflation-generating initial conditions for the big bang
Eric Ling, Annachiara Piubello
The inflationary scenario, which states that the early universe underwent a brief but dramatic period of accelerated spatial expansion, has become the current paradigm of early uni…
Estimates of the Bartnik mass
Pengzi Miao, Annachiara Piubello
Given a metric of nonnegative Gauss curvature and a positive function on a -sphere , we estimate the Bartnik quasi-local mass of in terms of the area, the…
On the asymptotic assumptions for Milne-like spacetimes
Eric Ling, Annachiara Piubello
Milne-like spacetimes are a class of hyperbolic FLRW spacetimes which admit continuous spacetime extensions through the big bang, . The existence of the extension follows fro…
Mass and Riemannian Polyhedra
Pengzi Miao, Annachiara Piubello
We show that the concept of the ADM mass in general relativity can be understood as the limit of the total mean curvature plus the total defect of dihedral angle of the boundary of…