241 citations · 3.1k across the 105 of their papers we have counts for
97 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…
An experiment to measure electromagnetic memory
Lydia Bieri, David Garfinkle
We describe an experiment to measure the electromagnetic analog of gravitational wave memory, the so-called electromagnetic memory. Whereas gravitational wave memory is a residual…
A mean curvature flow method for numerical cosmology
Matthew Doniere, David Garfinkle
We provide a mean curvature flow method for numerical cosmology and test it on cases of inhomogenous inflation. The results show (in a proof of concept way) that the method can han…
Initial conditions problem in cosmological inflation revisited
David Garfinkle, Anna Ijjas, Paul J. Steinhardt
We present first results from a novel numerical relativity code based on a tetrad formulation of the Einstein-scalar field equations combined with recently introduced gauge/frame i…
Gravitational wave memory and the wave equation
David Garfinkle
Gravitational wave memory and its electromagnetic analog are shown to be straightforward consequences of the wave equation. From Maxwell's equations one can derive a wave equation…
Dynamical attractors in contracting spacetimes dominated by kinetically coupled scalar fields
Anna Ijjas, Frans Pretorius, Paul J. Steinhardt +1
We present non-perturbative numerical relativity simulations of slowly contracting spacetimes in which the scalar field driving slow contraction is coupled to a second scalar field…
The electric field of a charge in the vicinity of a higher dimensional black hole
David Garfinkle
We find the electric field of a point charge in the presence of a higher dimensional black hole. As the charge is lowered to the horizon, all higher multipole moments go to zero, a…
Spike behavior in the approach to spacetime singularities
David Garfinkle, Frans Pretorius
We perform numerical simulations of the approach to spacetime singularities. The simulations are done with sufficient resolution to resolve the small scale features (known as spike…
Cosmological initial data for numerical relativity
David Garfinkle, Lawrence Mead
We find initial data for numerical relativity simulations of inhomogeneous cosmologies. This involves treating an exceptional case of the general relativity constraint equations. W…
Matters of Gravity: The Newsletter of the Division of Gravitational Physics of the American Physical Society. Number 54. December 2019
David Garfinkle
we hear that..., by David Garfinkle APS April Meeting, by David Garfinkle Gravity: Strings and higher dimensions, by Cynthia Keeler The Eighth Meeting on CPT and Lorentz Symmetry,…
Matters of Gravity: The Newsletter of the Division of Gravitational Physics of the American Physical Society. Number 53. June, 2019
David Garfinkle
we hear that..., by David Garfinkle Gravitational-wave Standard Sirens, by Daniel Holz and Maya Fishbach HartleFest, by Gary Horowitz
A No-Boundary Method for Numerical Relativity
Lydia Bieri, David Garfinkle, Shing-Tung Yau
We propose a method for numerical relativity in which the spatial grid is finite and no outer boundary condition is needed. As a "proof of concept" we implement this method for the…
On "the'' electric field of a uniformly accelerating charge
David Garfinkle
The problem of the electric field of a uniformly accelerating charge is a longstanding one that has led to several issues. We resolve these issues using techniques from linguistics…
Black hole entropy as a consequence of excision
David Garfinkle
Black hole entropy is shown to be a consequence of restricting our description of physics to the exterior of black holes. This precludes the need for a statistical mechanical descr…
Hair loss in parity violating gravity
Pratik Wagle, Nicolas Yunes, David Garfinkle +1
The recent detection of gravitational waves by the LIGO/VIRGO collaboration has allowed for the first tests of Einstein's theory in the extreme gravity regime, where the gravitatio…
Gravitational Waves and Their Mathematics
Lydia Bieri, David Garfinkle, Nicolas Yunes
This is an overview article of the mathematics of gravitational waves. We explain the mathematics and physics of these waves in general relativity theory, discuss the gravitational…
Gravitational wave memory in CDM cosmology
Lydia Bieri, David Garfinkle, Nicolas Yunes
We examine gravitational wave memory in the case where sources and detector are in a CDM cosmology. We consider the case where the universe can be highly inhomogeneous, but the…
The Memory Effect for Particle Scattering in Even Spacetime Dimensions
David Garfinkle, Stefan Hollands, Akihiro Ishibashi +2
We explicitly calculate the gravitational wave memory effect for classical point particle sources in linearized gravity off of an even dimensional Minkowski background. We show tha…
White holes in Einstein-aether theory
Ratindranath Akhoury, David Garfinkle, Nishant Gupta
We perform numerical simulations of gravitational collapse in Einstein-aether theory. We find that under certain conditions, the collapse results in the temporary formation of a wh…