12 citations · 23 across the 8 of their papers we have counts for
10 papers
Brill-Lindquist-Riemann sums and their limits
Tatyana Benko, Iva Stavrov Allen
This article commences a study of convergence of discretized point-object configurations, which we call Brill-Lindquist-Riemann sums, towards a charged dust continuum from the pers…
On superposition of relativistic point-sources
Noah Benjamin, Will McDermott, Iva Stavrov Allen
The non-linearity of general relativity makes it at least difficult if not impossible to view a relativistic cloud of matter as being made up of point-source constituents. Perhaps…
On a gravitational self-interaction parameter for point-particles
Iva Stavrov Allen
Relativistic, electrically neutral point-particles can be given mathematical foundation by doing a careful accounting of self-interaction energies. In this paper we examine a self-…
Geometrostatic Manifolds of Small ADM Mass
Christina Sormani, Iva Stavrov Allen
We bound the locations of outermost minimal surfaces in geometrostatic manifolds whose ADM mass is small relative to the separation between the black holes and prove the Intrinsic…
The Effects of Self-Interaction on Constructing Relativistic Point Particles
Noah Benjamin, Iva Stavrov Allen
We introduce a framework for studying the effects of self-interaction on the construction of point particle initial data in General Relativity. Within this framework we rigorously…
The shear-free condition and constant-mean-curvature hyperboloidal initial data
Paul T. Allen, James Isenberg, John M. Lee +1
We consider the Einstein-Maxwell-fluid constraint equations, and make use of the conformal method to construct and parametrize constant-mean-curvature hyperboloidal initial data se…
Smoothly compactifiable shear-free hyperboloidal data is dense in the physical topology
Paul T. Allen, Iva Stavrov Allen
We show that any polyhomogeneous asymptotically hyperbolic constant-mean-curvature solution to the vacuum Einstein constraint equations can be approximated, arbitrarily closely in…
Weakly asymptotically hyperbolic manifolds
Paul T. Allen, James Isenberg, John M. Lee +1
We introduce a class of "weakly asymptotically hyperbolic" geometries whose sectional curvatures tend to and are , but are not necessarily , conformally compact. We…
Asymptotic gluing of asymptotically hyperbolic solutions to the Einstein constraint equations
James Isenberg, John M. Lee, Iva Stavrov Allen
We show that asymptotically hyperbolic solutions of the Einstein constraint equations with constant mean curvature can be glued in such a way that their asymptotic regions are conn…
A Gluing Construction Regarding Point Particles in General Relativity
Iva Stavrov Allen
We develop a gluing construction which adds scaled and truncated asymptotically Euclidean solutions of the Einstein constraint equations to compact solutions with potentially non-t…