44 citations · 251 across the 26 of their papers we have counts for
23 papers · 1 filter
Vacuum cosmological spacetimes without CMC Cauchy surfaces
Eric Ling, Argam Ohanyan
In this article, we extend a construction of [6] to obtain a large class of vacuum cosmological spacetimes that do not contain any CMC Cauchy surfaces. The allowed spatial topologi…
The -inextendibility of some spatially flat FLRW spacetimes
Eric Ling
Utilizing some of Sbierski's recent -inextendibility techniques [18], we prove the -inextendibility of a class of spatially flat FLRW spacetimes without particle horizons…
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…
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…
Examples of cosmological spacetimes without CMC Cauchy surfaces
Eric Ling, Argam Ohanyan
CMC (constant mean curvature) Cauchy surfaces play an important role in mathematical relativity as finding solutions to the vacuum Einstein constraint equations is made much simple…
A lower semicontinuous time separation function for spacetimes
Eric Ling
The time separation function (or Lorentzian distance function) is a fundamental object used in Lorentzian geometry. For smooth spacetimes it is known to be lower semicontinuous, an…
On the initial singularity and extendibility of flat quasi-de Sitter spacetimes
Ghazal Geshnizjani, Eric Ling, Jerome Quintin
Inflationary spacetimes have been argued to be past geodesically incomplete in many situations. However, whether the geodesic incompleteness implies the existence of an initial spa…
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…
The codimension 2 null cut locus with applications to spacetime topology
Gregory J. Galloway, Eric Ling
In this paper we review and extend some results in the literature pertaining to spacetime topology while naturally utilizing properties of the codimension 2 null cut locus. Our res…
Remarks on the cosmological constant appearing as an initial condition for Milne-like spacetimes
Eric Ling
Milne-like spacetimes are a class of FLRW spacetimes which admit continuous spacetime extensions through the big bang. In a previous paper [30], it was shown that the cosm…
Topological censorship in spacetimes compatible with
Martin Lesourd, Eric Ling
Currently available topological censorship theorems are meant for gravitationally isolated black hole spacetimes with cosmological constant or . Here, we prove a topolog…
Remarks on the existence of CMC Cauchy surfaces
Gregory J. Galloway, Eric Ling
As is well known, constant mean curvature (CMC) spacelike hypersurfaces play an important role in solving the Einstein equations, both in solving the contraints and the evolution e…
A conformal infinity approach to asymptotically spacetimes
Gregory J. Galloway, Melanie Graf, Eric Ling
It is well known that the spacetime arises as the `near horizon' geometry of the extremal Reisser-Nordstrom solution, and for that reason it has been studi…
Aspects of causal theory
Eric Ling
This paper serves as an introduction to causal theory. We focus on those parts of the theory which have proven useful for establishing spacetime inextendibility results in lo…
Model for a time-symmetric Milne-like universe without big bang curvature singularity
F. R. Klinkhamer, E. Ling
We present a physics model for a time-symmetric Milne-like universe. The model is based on the -theory approach to the cosmological constant problem, supplemented by an assumed…
The Big Bang is a Coordinate Singularity for Inflationary FLRW Spacetimes
Eric Ling
We show that the big bang is a coordinate singularity for a large class of inflationary FLRW spacetimes which we have dubbed 'Milne-like.' By introducing a new set of coor…
Existence of CMC Cauchy surfaces from a spacetime curvature condition
Gregory J. Galloway, Eric Ling
In this note we present a result establishing the existence of a compact CMC Cauchy surface from a curvature condition related to the strong energy condition.
Weakly trapped surfaces in asymptotically de Sitter spacetimes
Piotr T. Chruściel, Gregory J. Galloway, Eric Ling
It is a standard fact that trapped or marginally trapped surfaces are not visible from conformal infinity, under the usual set of conditions on matter fields and the conformal comp…
Milne-like Spacetimes and their Symmetries
Eric Ling
When developing a quantum theory for a physical system, one determines the system's symmetry group and its irreducible unitary representations. For Minkowski space, the symmetry gr…
Maximizers in Lipschitz spacetimes are either timelike or null
Melanie Graf, Eric Ling
We prove that causal maximizers in spacetimes are either timelike or null. This question was posed in [17] since bubbling regions in spacetimes () can prod…
Milne-like spacetimes and their role in Cosmology
Eric Ling
Milne-like spacetimes are a class of FLRW models which admit spacetime extensions through the big bang. The boundary of a Milne-like spacetime can be identified with a null c…
Topology and singularities in cosmological spacetimes obeying the null energy condition
Gregory J. Galloway, Eric Ling
We consider globally hyperbolic spacetimes with compact Cauchy surfaces in a setting compatible with the presence of a positive cosmological constant. More specifically, for 3+1 di…
Timelike completeness as an obstruction to -extensions
Gregory J. Galloway, Eric Ling, Jan Sbierski
The study of low regularity (in-)extendibility of Lorentzian manifolds is motivated by the question whether a given solution to the Einstein equations can be extended (or is maxima…