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Volumn 23, Issue 16, 2006, Pages

A minimization problem for the lapse and the initial-boundary value problem for Einstein's field equations

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EID: 33746655437     PISSN: 02649381     EISSN: 13616382     Source Type: Journal    
DOI: 10.1088/0264-9381/23/16/S11     Document Type: Article
Times cited : (14)

References (44)
  • 1
    • 0033243771 scopus 로고    scopus 로고
    • The initial boundary value problem for Einstein's vacuum field equations
    • Friedrich H and Nagy G 1999 The initial boundary value problem for Einstein's vacuum field equations Commun. Math. Phys. 201 619-55
    • (1999) Commun. Math. Phys. , vol.201 , Issue.3 , pp. 619-655
    • Friedrich, H.1    Nagy, G.2
  • 2
    • 84967712846 scopus 로고
    • Symmetric positive systems with boundary characteristics of constant multiplicity
    • Rauch J 1985 Symmetric positive systems with boundary characteristics of constant multiplicity Trans. Am. Math. Soc. 291 167-87
    • (1985) Trans. Am. Math. Soc. , vol.291 , Issue.1 , pp. 167-187
    • Rauch, J.1
  • 3
    • 0009445873 scopus 로고    scopus 로고
    • The initial boundary value problem for linear symmetric hyperbolic systems with characteristic boundary of constant multiplicity
    • Secchi P 1996 The initial boundary value problem for linear symmetric hyperbolic systems with characteristic boundary of constant multiplicity Diff. Int. Eqns. 9 671-700
    • (1996) Diff. Int. Eqns. , vol.9 , pp. 671-700
    • Secchi, P.1
  • 4
    • 0030489957 scopus 로고    scopus 로고
    • Well-posedness of characteristic symmetric hyperbolic systems
    • Secchi P 1996 Well-posedness of characteristic symmetric hyperbolic systems Arch. Ration. Mech. Anal. 134 155-97
    • (1996) Arch. Ration. Mech. Anal. , vol.134 , Issue.2 , pp. 155-197
    • Secchi, P.1
  • 5
    • 84859697031 scopus 로고    scopus 로고
    • Boundary conditions in linearized harmonic gravity
    • Szilagyi B, Schmidt B G and Winicour J 2002 Boundary conditions in linearized harmonic gravity Phys. Rev. D 65 064015(1)-064015(15)
    • (2002) Phys. Rev. , vol.65 , pp. 0640151-06401515
    • Szilagyi, B.1    Schmidt, B.G.2    Winicour, J.3
  • 6
    • 0141656473 scopus 로고    scopus 로고
    • Well-posed initial-boundary evolution in general relativity
    • Szilagyi B and Winicour J 2003 Well-posed initial-boundary evolution in general relativity Phys. Rev. D 68 041501(1)-041501(5)
    • (2003) Phys. Rev. , vol.68 , pp. 0415011-0415015
    • Szilagyi, B.1    Winicour, J.2
  • 7
    • 33644960507 scopus 로고    scopus 로고
    • Harmonic initial-boundary evolution in general relativity
    • Babiuc M C, Szilagyi B and Winicour J 2006 Harmonic initial-boundary evolution in general relativity Phys. Rev. D 73 064017(1)-064017(23)
    • (2006) Phys. Rev. , vol.73 , pp. 0640171-06401723
    • Babiuc, M.C.1    Szilagyi, B.2    Winicour, J.3
  • 8
    • 0242556830 scopus 로고    scopus 로고
    • Well posed constraint-preserving boundary conditions for the linearized Einstein equations
    • Calabrese G, Pullin J, Reula O, Sarbach O and Tiglio M 2003 Well posed constraint-preserving boundary conditions for the linearized Einstein equations Commun. Math. Phys. 240 377-95
    • (2003) Commun. Math. Phys. , vol.240 , Issue.1-2 , pp. 377-395
    • Calabrese, G.1    Pullin, J.2    Reula, O.3    Sarbach, O.4    Tiglio, M.5
  • 9
    • 42749106781 scopus 로고    scopus 로고
    • Symmetric hyperbolic and consistent boundary conditions for second order Einstein equations
    • Gundlach C and Martín-García J M 2004 Symmetric hyperbolic and consistent boundary conditions for second order Einstein equations Phys. Rev. D 70 044032(1)-044032(16)
    • (2004) Phys. Rev. , vol.70 , pp. 0440321-04403216
    • Gundlach, C.1    Martín-García, J.M.2
  • 10
    • 33746630066 scopus 로고    scopus 로고
    • Tarfulea N 2005 Constraint preserving boundary conditions for hyperbolic formulations of Einstein's equations PhD Thesis University of Minnesota Preprint gr-qc/0508014
    • (2005) PhD Thesis
    • Tarfulea, N.1
  • 11
    • 0041173547 scopus 로고    scopus 로고
    • The Cauchy problem and the initial boundary value problem in numerical relativity
    • Stewart J M 1998 The Cauchy problem and the initial boundary value problem in numerical relativity Class. Quantum Grav. 15 2865-89
    • (1998) Class. Quantum Grav. , vol.15 , Issue.9 , pp. 2865-2889
    • Stewart, J.M.1
  • 12
    • 0242473132 scopus 로고    scopus 로고
    • Detecting ill posed boundary conditions in general relativity
    • Calabrese G and Sarbach O 2003 Detecting ill posed boundary conditions in general relativity J. Math. Phys. 44 3888-99
    • (2003) J. Math. Phys. , vol.44 , Issue.9 , pp. 3888-3899
    • Calabrese, G.1    Sarbach, O.2
  • 13
    • 33746291149 scopus 로고    scopus 로고
    • Boundary conditions for Einstein's field equations: Mathematical and numerical analysis
    • Sarbach O and Tiglio M 2005 Boundary conditions for Einstein's field equations: mathematical and numerical analysis J. Hyperbolic Differ. Eqns 2 839-83
    • (2005) J. Hyperbolic Differ. Eqns , vol.2 , Issue.4 , pp. 839-883
    • Sarbach, O.1    Tiglio, M.2
  • 14
    • 33746636265 scopus 로고    scopus 로고
    • Rinne O 2005 Axisymmetric numerical relativity PhD Thesis University of Cambridge Preprint gr-qc/0601064
    • (2005) PhD Thesis
    • Rinne, O.1
  • 15
    • 85038308182 scopus 로고    scopus 로고
    • Constraint-preserving boundary conditions in numerical relativity
    • Calabrese G, Lehner L and Tiglio M 2002 Constraint-preserving boundary conditions in numerical relativity Phys. Rev. D 65 104031(1)-104031(13)
    • (2002) Phys. Rev. , vol.65 , pp. 1040311-10403113
    • Calabrese, G.1    Lehner, L.2    Tiglio, M.3
  • 16
    • 0037087885 scopus 로고    scopus 로고
    • Numerical tests of evolution systems, gauge conditions, and boundary conditions for 1d colliding gravitational plane waves
    • Bardeen J M and Buchman L T 2002 Numerical tests of evolution systems, gauge conditions, and boundary conditions for 1d colliding gravitational plane waves Phys. Rev. D 65 064037(1)-064037(23)
    • (2002) Phys. Rev. , vol.65 , pp. 0640371-06403723
    • Bardeen, J.M.1    Buchman, L.T.2
  • 18
    • 29044433386 scopus 로고    scopus 로고
    • Calabrese G 2003 Constraint preserving boundary conditions for the linearized Einstein equations PhD Thesis Louisiana State University http://etd.lsu.edu/docs/available/etd-1105103-100340
    • (2003) PhD Thesis
    • Calabrese, G.1
  • 19
    • 21344434805 scopus 로고    scopus 로고
    • Constraint-preserving boundary conditions in the Z4 numerical relativity formalism
    • Bona C, Ledvinka T, Palenzuela-Luque C and Zacek M 2005 Constraint-preserving boundary conditions in the Z4 numerical relativity formalism Class. Quantum Grav. 22 2615-34
    • (2005) Class. Quantum Grav. , vol.22 , Issue.13 , pp. 2615-2634
    • Bona, C.1    Ledvinka, T.2    Palenzuela-Luque, C.3    Zacek, M.4
  • 21
    • 31144475179 scopus 로고    scopus 로고
    • A model problem for the initial-boundary value formulation of Einstein's field equations
    • Reula O and Sarbach O 2005 A model problem for the initial-boundary value formulation of Einstein's field equations J. Hyperbolic Differ. Eqns 2 397-435
    • (2005) J. Hyperbolic Differ. Eqns , vol.2 , Issue.2 , pp. 397-435
    • Reula, O.1    Sarbach, O.2
  • 22
    • 0003084235 scopus 로고
    • Kinematics and dynamics of general relativity
    • York J W 1979 Kinematics and dynamics of general relativity Sources of Gravitational Radiation ed L L Smarr (Cambridge: Cambridge University Press) pp 83-126
    • (1979) Sources of Gravitational Radiation , pp. 83-126
    • York, J.W.1
  • 26
    • 0037104493 scopus 로고    scopus 로고
    • Convergence and stability in numerical relativity
    • Calabrese G, Pullin J, Sarbach O and Tiglio M 2002 Convergence and stability in numerical relativity Phys. Rev. D 66 041501(1)-041501(4)
    • (2002) Phys. Rev. , vol.66 , pp. 0415011-0415014
    • Calabrese, G.1    Pullin, J.2    Sarbach, O.3    Tiglio, M.4
  • 29
    • 0000571384 scopus 로고    scopus 로고
    • Note on the propagation of the constraints in standard 3+1 general relativity
    • Frittelli S 1997 Note on the propagation of the constraints in standard 3+1 general relativity Phys. Rev. D 55 5992-6
    • (1997) Phys. Rev. , vol.55 , Issue.10 , pp. 5992-5996
    • Frittelli, S.1
  • 30
    • 0141545051 scopus 로고    scopus 로고
    • Einstein boundary conditions for the 3+1 Einstein equations
    • Frittelli S and Gomez R 2003 Einstein boundary conditions for the 3+1 Einstein equations Phys. Rev. D 68 044014(1)-044014(6)
    • (2003) Phys. Rev. , vol.68 , pp. 0440141-0440146
    • Frittelli, S.1    Gomez, R.2
  • 31
    • 42749104417 scopus 로고    scopus 로고
    • A new geometric invariant on initial data for the Einstein equations
    • Dain S 2004 A new geometric invariant on initial data for the Einstein equations Phys. Rev. Lett. 93 231101
    • (2004) Phys. Rev. Lett. , vol.93
    • Dain, S.1
  • 32
    • 29744432655 scopus 로고    scopus 로고
    • Geometrically motivated hyperbolic coordinate conditions for numerical relativity: Analysis, issues and implementations
    • Bona C, Lehner L and Palenzuela-Luque C 2005 Geometrically motivated hyperbolic coordinate conditions for numerical relativity: analysis, issues and implementations Phys. Rev. D 72 104009(1)-104009(15)
    • (2005) Phys. Rev. , vol.72 , pp. 1040091-10400915
    • Bona, C.1    Lehner, L.2    Palenzuela-Luque, C.3
  • 37
    • 0003203437 scopus 로고
    • Pseudodifferential operators and nonlinear PDE
    • Taylor M E 1991 Pseudodifferential operators and nonlinear PDE Progress in Mathematics vol 100 (Boston, MA: Birkhäuser) (second printing 1993)
    • (1991) Progress in Mathematics Vol 100
    • Taylor, M.E.1
  • 38
    • 2342423048 scopus 로고    scopus 로고
    • Some mathematical questions connected with first and second order time-dependent systems of partial differential equations
    • Kreiss H O and Ortiz O E 2002 Some mathematical questions connected with first and second order time-dependent systems of partial differential equations Lect. Notes Phys. 604 359-70
    • (2002) Lect. Notes Phys. , vol.604 , pp. 359-370
    • Kreiss, H.O.1    Ortiz, O.E.2
  • 39
    • 42749105439 scopus 로고    scopus 로고
    • Strongly hyperbolic second order Einstein's evolution equations
    • Nagy G, Ortiz O E and Reula O A 2004 Strongly hyperbolic second order Einstein's evolution equations Phys. Rev. D 70 044012(1)-044012(15)
    • (2004) Phys. Rev. , vol.70 , pp. 0440121-04401215
    • Nagy, G.1    Ortiz, O.E.2    Reula, O.A.3
  • 40
    • 0037272911 scopus 로고    scopus 로고
    • Elliptic-hyperbolic systems and the Einstein equations
    • Andersson L and Moncrief V 2003 Elliptic-hyperbolic systems and the Einstein equations Ann. Henri Poincaré 4 1-34
    • (2003) Ann. Henri Poincaré , vol.4 , Issue.1 , pp. 1-34
    • Andersson, L.1    Moncrief, V.2
  • 41
    • 3643104175 scopus 로고    scopus 로고
    • First-order symmetric-hyperbolic Einstein equations with arbitrary fixed gauge
    • Frittelli S and Reula O A 1996 First-order symmetric-hyperbolic Einstein equations with arbitrary fixed gauge Phys. Rev. Lett. 76 4667-70
    • (1996) Phys. Rev. Lett. , vol.76 , Issue.25 , pp. 4667-4670
    • Frittelli, S.1    Reula, O.A.2
  • 42
    • 0000838828 scopus 로고    scopus 로고
    • Fixing Einstein's equations
    • Anderson A and York J W 1999 Fixing Einstein's equations Phys. Rev. Lett. 82 4384-7
    • (1999) Phys. Rev. Lett. , vol.82 , Issue.22 , pp. 4384-4387
    • Anderson, A.1    York, J.W.2


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