2 citations · 4 across the 5 of their papers we have counts for
5 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-…
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…
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…