6 papers · 1 filter
Anti-Ultralocality and Plateau Models of Inflation
Joshua Shterenberg, David Garfinkle, Anna I. Rosenzweig +2
Anti-ultralocality refers to the growth of spatial gradient terms relative to velocity terms in the coupled Einstein--scalar field equations. It is a characteristic feature of dece…
Yvonne Choquet-Bruhat 1923-2025
Lydia Bieri, Jean-Pierre Bourguignon, David Garfinkle +1
This is a memorial article for Yvonne Choquet-Bruhat, who was one of the great pioneers of mathematical general relativity and of partial differential equations. Starting with her…
Asymptotically Euclidean Solutions of the Constraint Equations with Prescribed Asymptotics
Lydia Bieri, David Garfinkle, James Isenberg +2
We demonstrate that in constructing asymptotically flat vacuum initial data sets in General Relativity via the conformal method, certain asymptotic structures may be prescribed a p…
Towards a spacelike characterization of the null singularity inside a black hole
David Garfinkle
We propose a method for recognizing null singularities in a computer simulation that uses a foliation by spacelike surfaces. The method involves harmonic time slicing as well as re…
Brill Waves with Slow Fall-Off Towards Spatial Infinity
Lydia Bieri, David Garfinkle, James Wheeler
We compute families of solutions to the Einstein vacuum equations of the type of Brill waves, but with slow fall-off towards spatial infinity. We prove existence and uniqueness of…
Smoothing and flattening the universe through slow contraction versus inflation
Anna Ijjas, Paul J. Steinhardt, David Garfinkle +1
In a systematic study, we use an equivalent pair of improved numerical relativity codes based on a tetrad-formulation of the classical Einstein-scalar field equations to examine wh…