114 citations · 456 across the 23 of their papers we have counts for
25 papers
Causal geodesic incompleteness of spacetimes arising from IMP gluing
Madeleine Burkhart, Daniel Pollack
In 2002, Isenberg-Mazzeo-Pollack (IMP) constructed a series of vacuum initial data sets via a gluing construction. In this paper, we investigate some local geometry of these initia…
Null geodesic incompleteness of spacetimes with no CMC Cauchy surfaces
Madeleine Burkhart, Martin Lesourd, Daniel Pollack
Chruściel, Isenberg, and Pollack constructed a class of vacuum cosmological spacetimes that do not admit Cauchy surfaces with constant mean curvature. We prove that, for sufficient…
On the geometry and topology of initial data sets with horizons
Lars Andersson, Mattias Dahl, Gregory J. Galloway +1
We study the relationship between initial data sets with horizons and the existence of metrics of positive scalar curvature. We define a Cauchy Domain of Outer Communications (CDOC…
Topological censorship from the initial data point of view
Michael Eichmair, Gregory J. Galloway, Daniel Pollack
We introduce a natural generalization of marginally outer trapped surfaces, called immersed marginally outer trapped surfaces, and prove that three dimensional asymptotically flat…
Scalar Curvature and the Einstein Constraint Equations
Justin Corvino, Daniel Pollack
We survey some results on scalar curvature and properties of solutions to the Einstein constraint equations. Topics include an extended discussion of asymptotically flat solutions…
Mathematical general relativity: a sampler
Piotr T. Chruściel, Gregory J. Galloway, Daniel Pollack
We provide an introduction to selected recent advances in the mathematical understanding of Einstein's theory of gravitation.