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This lecture is devoted to the problem of computing initial data for the Cauchy problem of 3+1 general relativity.
A. Lichnerowicz : Sur les équations relativistes de la gravitation
1952
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Y. Fourès-Bruhat (Y. Choquet-Bruhat) : Sur l’Intégration des Équations de la Relativité Générale
1956
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R.F. Baierlein, D.H Sharp and J.A. Wheeler : Three-Dimensional Geometry as Carrier of Information about Time
1962
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J.A. Wheeler : Geometrodynamics and the issue of the final state
1964
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Y. Choquet-Bruhat : New elliptic system and global solutions for the constraints equations in general relativity
1971
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J.W. York : Mapping onto Solutions of the Gravitational Initial Value Problem
1972
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J.W. York : Conformally invariant orthogonal decomposition of symmetric tensors on Riemannian manifolds and the initial-value problem of general relativity
1973
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N. Ó Murchadha and J.W. York : Initial-value problem of general relativity. I. General formulation and physical interpretation
1974
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J.W. York : Covariant decompositions of symmetric tensors in the theory of gravitation
1974
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M. Cantor: The existence of non-trivial asymptotically flat initial data for vacuum spacetimes
1977
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J.A. Isenberg : Waveless Approximation Theories of Gravity
1978
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L. Smarr and J.W. York : Radiation gauge in general relativity
1978
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M. Cantor : Some problems of global analysis on asymptotically simple manifolds
1979
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J.W. York : Kinematics and dynamics of general relativity
1979
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J.M. Bowen and J.W. York : Time-asymmetric initial data for black holes and black-hole collisions
1980
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Y. Choquet-Bruhat and J.W. York : The Cauchy Problem
1980
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J. Isenberg and J. Nester : Canonical Gravity
1980
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Y. Choquet-Bruhat and D. Christodoulou : Elliptic systems of H s , δ H_{s,\delta} spaces on manifolds which are Euclidean at infinity
1981
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A. Lichnerowicz : L’intégration des équations de la gravitation relativiste et le problème des n corps
1982
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S.A. Teukolsky : Linearized quadrupole waves in general relativity and the motion of test particles , Phys. Rev. D 26
1982
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G.W. Gibbons and J.M. Stewart : Absence of asymptotically flat solutions of Einstein’s equations which are periodic and empty near infinity
1983
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J.R. Wilson and G.J. Mathews : Relativistic hydrodynamics
1989
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R. Bartnik : Quasi-spherical metrics and prescribed scalar curvature
1993
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R. Bartnik and G. Fodor : On the restricted validity of the thin sandwich conjecture
1993
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S. Detweiler : Periodic solutions of the Einstein equations for binary systems
1994
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S.R. Brandt and E. Seidel : Evolution of distorted rotating black holes. II. Dynamics and analysis
1995
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J. Isenberg : Constant mean curvature solutions of the Einstein constraint equations on closed manifolds
1995
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T.W. Baumgarte, G.B. Cook, M.A. Scheel, S.L. Shapiro, and S.A. Teukolsky : Binary neutron stars in general relativity: Quasiequilibrium models
1997
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S. Brandt and B. Brügmann : A Simple Construction of Initial Data for Multiple Black Holes
1997
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T.W. Baumgarte, G.B. Cook, M.A. Scheel, S.L. Shapiro, and S.A. Teukolsky : General relativistic models of binary neutron stars in quasiequilibrium
1998
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R.J. Gleiser, C.O. Nicasio, R.H. Price, and J. Pullin : Evolving the Bowen-York initial data for spinning black holes
1998
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M. Shibata : Relativistic formalism for computation of irrotational binary stars in quasiequilibrium states
1998
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S.A Teukolsky : Irrotational binary neutron stars in quasi-equilibrium in general relativity
1998
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S. Bonazzola, E. Gourgoulhon, and J.-A. Marck : Numerical models of irrotational binary neutron stars in general relativity
1999
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A. Buonanno and T. Damour : Effective one-body approach to general relativistic two-body dynamics
1999
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P. Marronetti, G.J. Mathews, and J.R. Wilson : Irrotational binary neutron stars in quasiequilibrium
1999
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J.W. York : Conformal “thin-sandwich” data for the initial-value problem of general relativity
1999
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T.W. Baumgarte : Innermost stable circular orbit of binary black holes
2000
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Y. Choquet-Bruhat, J. Isenberg, and J.W. York : Einstein constraints on asymptotically Euclidean manifolds
2000
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G.B. Cook : Initial data for numerical relativity
2000
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M. Shibata, K. Uryu, and J.L. Friedman : Deriving formulations for numerical computation of binary neutron stars in quasicircular orbits
2004
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J.W. York : Velocities and Momenta in an Extended Elliptic Form of the Initial Value Conditions
2004
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M. Ansorg : Double-domain spectral method for black hole excision data
2005
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M. Bejger, D. Gondek-Rosińska, E. Gourgoulhon, P. Haensel, K. Taniguchi, and J. L. Zdunik : Impact of the nuclear equation of state on the last orbits of binary neutron stars
2005
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S. Dain : Trapped surfaces as boundaries for the constraint equations
2005
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J. Corvino : Scalar curvature deformation and a gluing construction for the Einstein constraint equations
2000
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A. Garat and R.H. Price : Nonexistence of conformally flat slices of the Kerr spacetime
2000
Cited alongside, same era.
K. Uryu and Y. Eriguchi : New numerical method for constructing quasiequilibrium sequences of irrotational binary neutron stars in general relativity
2000
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K. Uryu, M. Shibata, and Y. Eriguchi : Properties of general relativistic, irrotational binary neutron stars in close quasiequilibrium orbits: Polytropic equations of state
2000
Cited alongside, same era.
T. Damour : Coalescence of two spinning black holes: An effective one-body approach
2001
Cited alongside, same era.
E. Gourgoulhon, P. Grandclément, K. Taniguchi, J.-A. Marck, and S. Bonazzola : Quasiequilibrium sequences of synchronized and irrotational binary neutron stars in general relativity: Method and tests
2001
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S. Dain, J.L. Jaramillo, and B. Krishnan : On the existence of initial data containing isolated black holes
2005
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M.D. Hannam : Quasicircular orbits of conformal thin-sandwich puncture binary black holes
2005
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F. Limousin, D. Gondek-Rosińska, and E. Gourgoulhon : Last orbits of binary strange quark stars
2005
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H.P. Pfeiffer and J.W. York : Uniqueness and Nonuniqueness in the Einstein Constraints
2005
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F. Pretorius : Evolution of Binary Black-Hole Spacetimes
2005
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J.G. Baker, J. Centrella, D.-I. Choi, M. Koppitz, and J. van Meter : Gravitational-Wave Extraction from an Inspiraling Configuration of Merging Black Holes
2006
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J.G. Baker, J. Centrella, D.-I. Choi, M. Koppitz, and J. van Meter : Binary black hole merger dynamics and waveforms
2006
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L. Blanchet : Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries
2006
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M. Campanelli, C. O. Lousto, P. Marronetti, and Y. Zlochower : Accurate Evolutions of Orbiting Black-Hole Binaries without Excision
2006
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M. Campanelli, C. O. Lousto, and Y. Zlochower : Last orbit of binary black holes
2006
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M. Campanelli, C. O. Lousto, and Y. Zlochower : Spinning-black-hole binaries: The orbital hang-up
2006
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M. Campanelli, C. O. Lousto, and Y. Zlochower : Spin-orbit interactions in black-hole binaries
2006
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M. Caudill, G.B. Cook, J.D. Grigsby, and H.P. Pfeiffer : Circular orbits and spin in black-hole initial data
2006
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E. Gourgoulhon : An introduction to relativistic hydrodynamics
2006
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E. Gourgoulhon : 3+1 Formalism and Bases of Numerical Relativity
2006
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E. Gourgoulhon and J.L. Jaramillo : A 3+1 perspective on null hypersurfaces and isolated horizons
2006
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S. Nissanke : Post-Newtonian freely specifiable initial data for binary black holes in numerical relativity
2006
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K. Taniguchi, T.W. Baumgarte, J.A. Faber, and S.L. Shapiro : Quasiequilibrium sequences of black-hole-neutron-star binaries in general relativity
2006
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K. Uryu, F. Limousin, J.L. Friedman, E. Gourgoulhon, and M. Shibata : Binary Neutron Stars: Equilibrium Models beyond Spatial Conformal Flatness
2006
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J.R. van Meter, J.G. Baker, M. Koppitz, D.I. Choi : How to move a black hole without excision: gauge conditions for the numerical evolution of a moving puncture
2006
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M. Ansorg: Multi-Domain Spectral Method for Initial Data of Arbitrary Binaries in General Relativity
2007
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T.W. Baumgarte, N. Ó Murchadha, and H.P. Pfeiffer : Einstein constraints: Uniqueness and non-uniqueness in the conformal thin sandwich approach
2007
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P. Grandclément : Accurate and realistic initial data for black hole-neutron star binaries
2007
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J.L. Jaramillo, M. Ansorg, F. Limousin : Numerical implementation of isolated horizon boundary conditions
2007
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B.J. Kelly, W. Tichy, M. Campanelli, and B.F. Whiting : Black-hole puncture initial data with realistic gravitational wave content
2007
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R. Oechslin, H.-T. Janka and A. Marek : Relativistic neutron star merger simulations with non-zero temperature equations of state I. Variation of binary parameters and equation of state
2007
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K. Taniguchi, T.W. Baumgarte, J.A. Faber, and S.L. Shapiro : Quasiequilibrium black hole-neutron star binaries in general relativity
2007
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A.A. Tsokaros and K. Uryu : Numerical method for binary black hole/neutron star initial data: Code test
2007
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D. Walsh : Non-uniqueness in conformal formulations of the Einstein Constraints
2007
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