Shock-wave explosions in general relativity
Smoller, Joel ; Temple, Blake
Journées équations aux dérivées partielles, (1995), p. 1-20 / Harvested from Numdam
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Publié le : 1995-01-01
@article{JEDP_1995____A17_0,
     author = {Smoller, Joel and Temple, Blake},
     title = {Shock-wave explosions in general relativity},
     journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     year = {1995},
     pages = {1-20},
     zbl = {0870.53064},
     language = {en},
     url = {http://dml.mathdoc.fr/item/JEDP_1995____A17_0}
}

Smoller, Joel; Temple, Blake. Shock-wave explosions in general relativity. Journées équations aux dérivées partielles,  (1995), pp. 1-20. http://gdmltest.u-ga.fr/item/JEDP_1995____A17_0/

[1] W. Israel, Singular hypersurfaces and thin shells in general relativity, IL Nuovo Cimento, Vol. XLIV B, N. 1, 1966, 1-14.

[2] P.D. Lax, Hyperbolic systems of conservation laws, II, Comm. Pure Appl. Math., 10(1957), pp. 537-566. | MR 20 #176 | Zbl 0081.08803

[3] J.R. Oppenheimer and J.R. Snyder, On continued gravitational contraction, Phys. Rev., 56(1939), p. 455-459. | Zbl 0022.28104

[4] J. Smoller, Shock-Waves and Reaction-Diffusion Equations, Springer Verlag, 1983. | MR 84d:35002 | Zbl 0508.35002

[5] Instability of rarefaction shocks for systems of conservation laws, J. Smoller, B. Temple and Z.P. Xin, Arch. Rational Mech. Anal., Vol. 112, 1990, pp. 63-81. | MR 91i:35125 | Zbl 0724.76039

[6] J. Smoller and B. Temple Global solutions of the relativistic Euler equations, Comm. Math. Phys., 157(1993), p. 67-99. | MR 94h:35216 | Zbl 0780.76085

[7] J. Smoller and B. Temple Shock-wave solutions of the Einstein equations : The Oppenheimer-Snyder model of gravitational collapse extended to the case of non-zero pressure, Arch. Rat. Mech. Anal., 128 (1994), pp 249-297. | MR 96b:83024 | Zbl 0824.53080

[8] J. Smoller and B. Temple Astrophysical shock-wave solutions of the Einstein equations, (to appear), Phys. Rev. D, 51, N°. 6 (March 1995). | MR 96c:83015

[9] J. Smoller and B. Temple General relativistic shock-waves that extend the Oppenheimer Snyder model, (in preparation). | Zbl 0888.76096

[10] R. Tolman, Static Solutions of Einstein's Field Equations for Spheres of Fluid, Physical Review, 55 (1939), pp. 364-374. | JFM 65.1048.02 | Zbl 0020.28407

[11] R. Tolman, Relativity, Thermodynamics and Cosmology, Oxford University Press, 1934. | JFM 60.0757.06 | Zbl 0009.41304

[12] S. Weinberg, Gravitation and Cosmology : Principles and Applications of the General Theory of Relativity, John Wiley &x0026; Sons, New York, 1972.