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In this paper we continue earlier investigations of evolutionary formulations of the Einstein vacuum constraint equations originally introduced by R\'{a}cz.
On the asymptotics of solutions to the evolutionary form of the constraints
K. Csukás and I. Rácz · 1911
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Théorème d’existence pour certains systèmes d’équations aux dérivées partielles non linéaires
Y. Fourès-Bruhat · 1952
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Gravitational Radiation in an Expanding Universe
S. W. Hawking · 1968
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Global aspects of the Cauchy problem in general relativity
Y. Choquet-Bruhat and R. P. Geroch · 1969
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Two-Spinor Calculus and Relativistic Fields
R. Penrose and W. Rindler · 1984
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Quasi-spherical metrics and prescribed scalar curvature
R. A. Bartnik · 1993
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Black hole data via a Kerr-Schild approach
N. T. Bishop, R. Isaacson, M. Maharaj, and J. Winicour · 1998
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Initial data and coordinates for multiple black hole systems
R. A. Matzner, M. F. Huq, and D. Shoemaker · 1998
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Einstein constraints on asymptotically Euclidean manifolds
Y. Choquet-Bruhat, J. Isenberg, and J. W. York · 2000
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Asymptotically Flat Initial Data with Prescribed Regularity at Infinity
S. Dain and H. Friedrich · 2001
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Kerr–Schild-type initial data for black holes with angular momenta
C. Moreno, D. Núñez, and O. Sarbach · 2002
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The Constraint Equations
R. A. Bartnik and J. Isenberg · 2004
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Black hole initial data from a nonconformal decomposition
N. T. Bishop, F. Beyer, and M. Koppitz · 2004
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Introduction to 3+1 Numerical Relativity
M. Alcubierre · 2008
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A spectral solver for evolution problems with spatial S 3 S^{3} -topology
F. Beyer · 2009
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Reducing spurious gravitational radiation in binary-black-hole simulations by using conformally curved initial data
G. Lovelace · 2009
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Quasi-Local Energy-Momentum and Angular Momentum in General Relativity
L. B. Szabados · 2009
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Numerical Relativity
T. W. Baumgarte and S. L. Shapiro · 2010
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Numerical evolutions of fields on the 2-sphere using a spectral method based on spin-weighted spherical harmonics
F. Beyer, B. Daszuta, J. Frauendiener, and B. Whale · 2014
Cited alongside, same era.
On the Center of Mass of Asymptotically Hyperbolic Initial Data Sets
C. Cederbaum, J. Cortier, and A. Sakovich · 2016
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Constraints as evolutionary systems
I. Rácz · 2016
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Asymptotics of solutions of a hyperbolic formulation of the constraint equations
F. Beyer, L. Escobar, and J. Frauendiener · 2017
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Criticality of inhomogeneous Nariai-like cosmological models
F. Beyer, L. Escobar, and J. Frauendiener · 2017
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Numerical Bifurcation Analysis of the Conformal Method
J. Dilts, M. Holst, T. Kozareva, and D. Maxwell · 2017
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Black hole initial data by numerical integration of the parabolic-hyperbolic form of the constraints
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Including realistic tidal deformations in binary black-hole initial data
T. Chu · 2014
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Is the Bianchi identity always hyperbolic?
I. Rácz · 2014
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A spectral method for half-integer spin fields based on spin-weighted spherical harmonics
F. Beyer, B. Daszuta, and J. Frauendiener · 2015
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Cauchy problem as a two-surface based ‘geometrodynamics’
I. Rácz · 2015
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Black hole initial data without elliptic equations
I. Rácz and J. Winicour · 2015
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Numerical solutions of Einstein’s equations for cosmological spacetimes with spatial topology S 3 S^{3} and symmetry group U ( 1 ) U(1)
F. Beyer, L. Escobar, and J. Frauendiener · 2016
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A. Nakonieczna, Ł. Nakonieczny, and I. Rácz · 2017
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The algebraic-hyperbolic approach to the linearized gravitational constraints on a Minkowski background
J. Winicour · 2017
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On the conformal method for the Einstein constraint equations
M. T. Anderson · 2018
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On the Evolutionary Form of the Constraints in Electrodynamics
I. Rácz · 2018
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Toward computing gravitational initial data without elliptic solvers
I. Rácz and J. Winicour · 2018
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Numerical construction of initial data sets of binary black hole type using a parabolic-hyperbolic formulation of the vacuum constraint equations
F. Beyer, L. Escobar, J. Frauendiener, and J. Ritchie · 2019
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Construction of high precision numerical single and binary black hole initial data
G. Doulis · 2019
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