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Smoller, Elias M.; Temple, Blake
Shock-wave explosions in general relativity. Journées équations aux dérivées partielles (1995), Art. No. 17, 20 p.
Texte intégral djvu | pdf | Analyses Zbl 0870.53064

URL stable: http://www.numdam.org/item?id=JEDP_1995____A17_0

Bibliographie

[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.
Article |  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.  Zbl 0020.28407 |  JFM 65.1048.02
[11] R. Tolman, Relativity, Thermodynamics and Cosmology, Oxford University Press, 1934.  Zbl 0009.41304 |  JFM 60.0757.06
[12] S. Weinberg, Gravitation and Cosmology : Principles and Applications of the General Theory of Relativity, John Wiley &x0026; Sons, New York, 1972.
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