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Volumn 133, Issue 1, 2005, Pages 1-72

Radiation fields

Author keywords

Asymptotic behavior; Conformal infinity; Polyhomogeneous expansions; Singularity propagation; Symmetric hyperbolic systems; Wave equations

Indexed keywords


EID: 19844377582     PISSN: 00379484     EISSN: None     Source Type: Journal    
DOI: 10.24033/bsmf.2478     Document Type: Review
Times cited : (4)

References (38)
  • 1
    • 0009334972 scopus 로고
    • On "hyperboloidal" cauchy data for vacuum Einstein equations and obstructions to smoothness of null infinity
    • ANDERSSON (L.) & CHRUŚCIEL (P.T.) - On " hyperboloidal" Cauchy data for vacuum Einstein equations and obstructions to smoothness of null infinity, Phys. Rev. Lett., t. 70 (1993), pp. 2829-2832.
    • (1993) Phys. Rev. Lett. , vol.70 , pp. 2829-2832
    • Andersson, L.1    Chruściel, P.T.2
  • 2
    • 21344488137 scopus 로고
    • On "hyperboloidal" cauchy data for vacuum Einstein equations and obstructions to smoothness of Scri
    • ANDERSSON (L.) & CHRUŚCIEL (P.T.) - On " hyperboloidal" Cauchy data for vacuum Einstein equations and obstructions to smoothness of Scri, Commun. Math. Phys., t. 161 (1994), pp. 533-568.
    • (1994) Commun. Math. Phys. , vol.161 , pp. 533-568
    • Andersson, L.1    Chruściel, P.T.2
  • 3
    • 0009411819 scopus 로고    scopus 로고
    • On asymptotic behavior of solutions of the constraint equations in general relativity with "hyperboloidal boundary conditions"
    • _, On asymptotic behavior of solutions of the constraint equations in general relativity with "hyperboloidal boundary conditions", Dissert. Math., t. 355 (1996), pp. 1-100.
    • (1996) Dissert. Math. , vol.355 , pp. 1-100
  • 4
    • 34249839460 scopus 로고
    • On the regularity of solutions to the Yamabe equation and the existence of smooth hyperboloidal initial data for Einsteins field equations
    • ANDERSSON (L.), CHRUŚCIEL (P.T.) & FRIEDRICH (H.) - On the regularity of solutions to the Yamabe equation and the existence of smooth hyperboloidal initial data for Einsteins field equations, Commun. Math. Phys., t. 149 (1992), pp. 587-612.
    • (1992) Commun. Math. Phys. , vol.149 , pp. 587-612
    • Andersson, L.1    Chruściel, P.T.2    Friedrich, H.3
  • 6
    • 0002250731 scopus 로고
    • Gravitational waves in general relativity VII: Waves from axi-symmetric isolated systems
    • BONDI (H.), VAN DER BURG (M.G.J.) & METZNER (A.W.K.) - Gravitational waves in general relativity VII: Waves from axi-symmetric isolated systems, Proc. Roy. Soc. London A, t. 269 (1962), pp. 21-52.
    • (1962) Proc. Roy. Soc. London a , vol.269 , pp. 21-52
    • Bondi, H.1    Van Der Burg, M.G.J.2    Metzner, A.W.K.3
  • 7
    • 84909829888 scopus 로고
    • Interaction des singularités pour les équations aux dérivées partielles non linéaires
    • École Polytechnique, Palaiseau, Exposé II
    • BONY (J.-M.) - Interaction des singularités pour les équations aux dérivées partielles non linéaires, in Goulaouic-Meyer-Schwartz Seminar, 1981/1982, École Polytechnique, Palaiseau, 1982, Exposé II, 12.
    • (1982) Goulaouic-Meyer-Schwartz Seminar, 1981/1982 , pp. 12
    • Bony, J.-M.1
  • 9
    • 0008632867 scopus 로고
    • Global solutions of Yang-Mills equations on anti-de Sitter space-time
    • _, Global solutions of Yang-Mills equations on anti-de Sitter space-time, Classical Quantum Gravity, t. 6 (1989), pp. 1781-1789.
    • (1989) Classical Quantum Gravity , vol.6 , pp. 1781-1789
  • 10
    • 19844380521 scopus 로고    scopus 로고
    • Global existence of wave maps
    • Proceedings of the IX International Conference on Waves and Stability in Continuous Media (Bari, 1997)
    • _, Global existence of wave maps, in Proceedings of the IX International Conference on Waves and Stability in Continuous Media (Bari, 1997), vol.57, Rend. Circ. Mat. Palermo (2) Suppl., 1998, pp. 143-152.
    • (1998) Rend. Circ. Mat. Palermo (2) Suppl. , vol.57 , pp. 143-152
  • 12
    • 19844375314 scopus 로고
    • Solutions globales du système de Yang-Mills-Vlasov (masse nulle)
    • CHOQUET-BRUHAT (Y.) & NOUTCHEGUEME (N.) - Solutions globales du système de Yang-Mills-Vlasov (masse nulle), C. R. Acad. Sci. Paris Sér. I Math., t. 311 (1990), pp. 785-788.
    • (1990) C. R. Acad. Sci. Paris Sér. I Math. , vol.311 , pp. 785-788
    • Choquet-Bruhat, Y.1    Noutchegueme, N.2
  • 13
    • 84990602498 scopus 로고
    • Global solutions of nonlinear hyperbolic equations for small initial data
    • CHRISTODOULOU (D.) - Global solutions of nonlinear hyperbolic equations for small initial data, Comm. Pure Appl. Math., t. 39 (1986), pp. 267-282.
    • (1986) Comm. Pure Appl. Math. , vol.39 , pp. 267-282
    • Christodoulou, D.1
  • 14
    • 84974002759 scopus 로고
    • On the asymptotic behavior of spherically symmetric wave maps
    • CHRISTODOULOU (D.) & TAHVILDAR-ZADEH (A. SHADI) - On the asymptotic behavior of spherically symmetric wave maps, Duke Math. J., t. 71 (1993), pp. 31-69.
    • (1993) Duke Math. J. , vol.71 , pp. 31-69
    • Christodoulou, D.1    Tahvildar-Zadeh, A.S.2
  • 15
    • 84990569166 scopus 로고
    • On the regularity of spherically symmetric wave maps
    • _, On the regularity of spherically symmetric wave maps, Comm. Pure Appl. Math., t. 46 (1993), pp. 1041-1091.
    • (1993) Comm. Pure Appl. Math. , vol.46 , pp. 1041-1091
  • 16
    • 85039405628 scopus 로고    scopus 로고
    • Polyhomogeneous solutions of wave equations in the radiation regime
    • (Saint Raymond (X.), Depauw (N.) & Robert (D.), eds.)
    • CHRUŚCIEL (P.T.) & LENGARD (O.) - Polyhomogeneous solutions of wave equations in the radiation regime, in Journées équations aux dérivées partielles, Nantes, 5-9 June 2000 (Saint Raymond (X.), Depauw (N.) & Robert (D.), eds.), http://www.math.sciences.univ-nantes.fr/ edpa/2000, pp.II.1-III.17.
    • Journées Équations aux Dérivées Partielles, Nantes, 5-9 June 2000
    • Chruściel, P.T.1    Lengard, O.2
  • 17
    • 0001282417 scopus 로고
    • Gravitational waves in general relativity. XIV: Bondi expansions and the "polyhomogeneity" of Scri
    • CHRUŚCIEL (P.T.), MACCALLUM (M.A.H.) & SINGLETON (D.) - Gravitational waves in general relativity. XIV: Bondi expansions and the "polyhomogeneity" of Scri, Phil. Trans. Roy. Soc. London A, t. 350 (1995), pp. 113-141.
    • (1995) Phil. Trans. Roy. Soc. London A , vol.350 , pp. 113-141
    • Chruściel, P.T.1    MacCallum, M.A.H.2    Singleton, D.3
  • 18
    • 0034288767 scopus 로고    scopus 로고
    • Scalar curvature deformation and a gluing construction for the Einstein constraint equations
    • CORVINO (J.) - Scalar curvature deformation and a gluing construction for the Einstein constraint equations, Comm. Math. Phys., t. 214 (2000), pp. 137-189.
    • (2000) Comm. Math. Phys. , vol.214 , pp. 137-189
    • Corvino, J.1
  • 20
    • 0001155750 scopus 로고
    • Cauchy problem for the conformal vacuum field equations in general relativity
    • FRIEDRICH (H.) - Cauchy problem for the conformal vacuum field equations in general relativity, Comm. Math. Phys., t. 91 (1983), pp. 445-472.
    • (1983) Comm. Math. Phys. , vol.91 , pp. 445-472
    • Friedrich, H.1
  • 21
    • 0011467717 scopus 로고
    • Existence and structure of past asymptotically simple solutions of Einstein's field equations with positive cosmological constant
    • _, Existence and structure of past asymptotically simple solutions of Einstein's field equations with positive cosmological constant, J. Geom. Phys., t. 3 (1986), pp. 101-117.
    • (1986) J. Geom. Phys. , vol.3 , pp. 101-117
  • 22
    • 0000168417 scopus 로고
    • On the existence of n-geodesically complete or future complete solutions of Einstein's field equations with smooth asymptotic structure
    • _, On the existence of n-geodesically complete or future complete solutions of Einstein's field equations with smooth asymptotic structure, Comm. Math. Phys., t. 107 (1986), pp. 587-609.
    • (1986) Comm. Math. Phys. , vol.107 , pp. 587-609
  • 23
    • 84972497586 scopus 로고
    • On the global existence and the asymptotic behavior of solutions to the Einstein-Maxwell-Yang-Mills equations
    • _, On the global existence and the asymptotic behavior of solutions to the Einstein-Maxwell-Yang-Mills equations, J. Diff. Geom., t. 34 (1991), pp. 275-345.
    • (1991) J. Diff. Geom. , vol.34 , pp. 275-345
  • 24
    • 0001301412 scopus 로고
    • Einstein equations and conformal structure: Existence of anti-de-Sitter-type space-times
    • _, Einstein equations and conformal structure: Existence of anti-de-Sitter-type space-times, J. Geom. and Phys., t. 17 (1995), pp. 125-184.
    • (1995) J. Geom. and Phys. , vol.17 , pp. 125-184
  • 25
    • 0242349024 scopus 로고    scopus 로고
    • Einstein's equation and geometric asymptotics
    • Gravitation and Relativity: At the turn of the Millennium (Dahdich (N.) & Narlikar (J.), eds.), IUCAA, Pune
    • _, Einstein's equation and geometric asymptotics, in Gravitation and Relativity: At the turn of the Millennium (Dahdich (N.) & Narlikar (J.), eds.), IUCAA, Pune, 1998, Proceedings of GR15, pp. 153-176.
    • (1998) Proceedings of GR15 , pp. 153-176
  • 27
    • 0017190112 scopus 로고
    • The boundary problems of physical geodesy
    • HÖRMANDER (L.) - The boundary problems of physical geodesy, Arch. Rat. Mech. Analysis, t. 62 (1976), pp. 1-52.
    • (1976) Arch. Rat. Mech. Analysis , vol.62 , pp. 1-52
    • Hörmander, L.1
  • 28
    • 3342985919 scopus 로고    scopus 로고
    • A commutator proof of the propagation of polyhomogeneity for semi-linear equations
    • JOSHI (M.S.) - A commutator proof of the propagation of polyhomogeneity for semi-linear equations, Commun. Partial Diff. Eq., t. 22 (1997), pp. 435-463.
    • (1997) Commun. Partial Diff. Eq. , vol.22 , pp. 435-463
    • Joshi, M.S.1
  • 29
    • 0034338755 scopus 로고    scopus 로고
    • Polyhomogeneity and zero-rest-mass fields with applications to Newman-Penrose constants
    • KROON (J.A.V.) - Polyhomogeneity and zero-rest-mass fields with applications to Newman-Penrose constants, Class. Quantum Grav., t. 17 (2000), no. 3, pp. 605-621.
    • (2000) Class. Quantum Grav. , vol.17 , Issue.3 , pp. 605-621
    • Kroon, J.A.V.1
  • 31
    • 0000336986 scopus 로고
    • Interaction of nonlinear progressing waves for semilinear wave equations
    • MELROSE (R.) & RITTER (N.) - Interaction of nonlinear progressing waves for semilinear wave equations, Ann. of Math. (2), t. 121 (1985), pp. 187-213.
    • (1985) Ann. of Math. (2) , vol.121 , pp. 187-213
    • Melrose, R.1    Ritter, N.2
  • 32
    • 0002279057 scopus 로고
    • The global structure of simple space-times
    • NEWMAN (R.P.A.C.) - The global structure of simple space-times, Comm. Math. Phys., t. 123 (1989), pp. 17-52.
    • (1989) Comm. Math. Phys. , vol.123 , pp. 17-52
    • Newman, R.P.A.C.1
  • 33
    • 0001207885 scopus 로고
    • Zero rest-mass fields including gravitation
    • PENROSE (R.) - Zero rest-mass fields including gravitation, Proc. Roy. Soc. London, t. A284 (1965), pp. 159-203.
    • (1965) Proc. Roy. Soc. London , vol.A284 , pp. 159-203
    • Penrose, R.1
  • 34
    • 0000204773 scopus 로고
    • Gravitational waves in general relativity VIII. Waves in asymptotically flat space-time
    • SACHS (R.) - Gravitational waves in general relativity VIII. Waves in asymptotically flat space-time, Proc. Roy. Soc. London A, t. 270 (1962), pp. 103-126.
    • (1962) Proc. Roy. Soc. London A , vol.270 , pp. 103-126
    • Sachs, R.1
  • 36
    • 0141787994 scopus 로고    scopus 로고
    • King's College lecture notes on general relativity
    • mimeographed notes; reprinted in May-June 1958
    • TRAUTMAN (A.) - King's College Lecture Notes on General Relativity, mimeographed notes; reprinted in Gen. Rel. Grav. 34 (2002), p. 721-762, May-June 1958.
    • (2002) Gen. Rel. Grav. , vol.34 , pp. 721-762
    • Trautman, A.1
  • 37
    • 0001309636 scopus 로고
    • Radiation and boundary conditions in the theory of gravitation
    • _, Radiation and boundary conditions in the theory of gravitation, Bull. Acad. Pol. Sci., Série sci. math., astr. et phys., t. VI (1958), pp. 407-412.
    • (1958) Bull. Acad. Pol. Sci., Série Sci. Math., Astr. et Phys. , vol.6 , pp. 407-412
  • 38
    • 0004057466 scopus 로고
    • University of Chicago Press, Chicago
    • WALD (R.M.) - General relativity, University of Chicago Press, Chicago, 1984.
    • (1984) General Relativity
    • Wald, R.M.1


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