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20032023
most citedSolutions of the Einstein Constraint Equations with Apparent Horizon Boundaries

112 citations · 304 across the 15 of their papers we have counts for

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12 papers · 1 filter

gr-qc2021★ 1 cited

A Phase Space Approach to the Conformal Construction of Non-Vacuum Initial Data Sets in General Relativity

James Isenberg, David Maxwell

We present a uniform (and unambiguous) procedure for scaling the matter fields in implementing the conformal method to parameterize and construct solutions of Einstein constraint e…

gr-qc2017★ 3 cited

Conformal Fields and the Structure of the Space of Solutions of the Einstein Constraint Equations

Mike Holst, David Maxwell, Rafe Mazzeo

The drift method, introduced by the second author, provides a new formulation of the Einstein constraint equations, either in vacuum or with matter fields. The natural of the geome…

gr-qc2017★ 9 cited

Numerical Bifurcation Analysis of the Conformal Method

James Dilts, Michael Holst, Tamara Kozareva +1

The conformal formulation of the Einstein constraint equations has been studied intensively since the modern version of the conformal method was first pub- lished in the early 1970…

gr-qc2014

Initial Data in General Relativity Described by Expansion, Conformal Deformation and Drift

David Maxwell

The conformal method is a technique for finding Cauchy data in general relativity solving the Einstein constraint equations, and its parameters include a conformal class, a conform…

gr-qc2014★ 7 cited

Conformal Parameterizations of Slices of Flat Kasner Spacetimes

David Maxwell

The Kasner metrics are among the simplest solutions of the vacuum Einstein equations, and we use them here to examine the conformal method of finding solutions of the Einstein cons…

gr-qc2014★ 19 cited

The Conformal Method and the Conformal Thin-Sandwich Method Are the Same

David Maxwell

The conformal method developed in the 1970s and the more recent Lagrangian and Hamiltonian conformal thin-sandwich methods are techniques for finding solutions of the Einstein cons…