5 papers
Rigidity aspects of a cosmological singularity theorem
Eric Ling, Carl Rossdeutscher, Walter Simon +1
Improving a singularity theorem in General Relativity by Galloway and Ling we show the following (cf.\ Theorem 1): If a globally hyperbolic spacetime satisfying the null energy…
A CMC existence result for expanding cosmological spacetimes
Gregory J. Galloway, Eric Ling
We establish a new CMC (constant mean curvature) existence result for cosmological spacetimes, i.e., globally hyperbolic spacetimes with compact Cauchy surfaces satisfying the stro…
A simplified proof of a cosmological singularity theorem
Gregory J. Galloway, Eric Ling
In a previous paper [9], we proved the following singularity theorem applicable to cosmological models with a positive cosmological constant: if a four-dimensional spacetime satisf…
The Penrose singularity theorem, MOTS stability, and horizon topology in weighted spacetimes
Eric Ling, Argam Ohanyan, Eric Woolgar
We consider versions of the Penrose singularity theorem and the Hawking horizon topology theorem in weighted spacetimes that contain weighted versions of trapped surfaces, for arbi…
Rigidity aspects of Penrose's singularity theorem
Gregory J. Galloway, Eric Ling
In this paper, we study rigidity aspects of Penrose's singularity theorem. Specifically, we aim to answer the following question: if a spacetime satisfies the hypotheses of Penrose…