Shock-wave explosions in general relativity

Elias M. Smoller; Blake Temple

Journées équations aux dérivées partielles (1995)

  • Volume: 1995, page 1-20
  • ISSN: 0752-0360

How to cite

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Smoller, Elias M., and Temple, Blake. "Shock-wave explosions in general relativity." Journées équations aux dérivées partielles 1995 (1995): 1-20. <http://eudml.org/doc/93302>.

@article{Smoller1995,
author = {Smoller, Elias M., Temple, Blake},
journal = {Journées équations aux dérivées partielles},
keywords = {cosmology; shock-waves; blast waves},
language = {eng},
pages = {1-20},
publisher = {Ecole polytechnique},
title = {Shock-wave explosions in general relativity},
url = {http://eudml.org/doc/93302},
volume = {1995},
year = {1995},
}

TY - JOUR
AU - Smoller, Elias M.
AU - Temple, Blake
TI - Shock-wave explosions in general relativity
JO - Journées équations aux dérivées partielles
PY - 1995
PB - Ecole polytechnique
VL - 1995
SP - 1
EP - 20
LA - eng
KW - cosmology; shock-waves; blast waves
UR - http://eudml.org/doc/93302
ER -

References

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  1. [1] W. Israel, Singular hypersurfaces and thin shells in general relativity, IL Nuovo Cimento, Vol. XLIV B, N. 1, 1966, 1-14. 
  2. [2] P.D. Lax, Hyperbolic systems of conservation laws, II, Comm. Pure Appl. Math., 10(1957), pp. 537-566. Zbl0081.08803MR20 #176
  3. [3] J.R. Oppenheimer and J.R. Snyder, On continued gravitational contraction, Phys. Rev., 56(1939), p. 455-459. Zbl0022.28104
  4. [4] J. Smoller, Shock-Waves and Reaction-Diffusion Equations, Springer Verlag, 1983. Zbl0508.35002MR84d:35002
  5. [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. Zbl0724.76039MR91i:35125
  6. [6] J. Smoller and B. TempleGlobal solutions of the relativistic Euler equations, Comm. Math. Phys., 157(1993), p. 67-99. Zbl0780.76085MR94h:35216
  7. [7] J. Smoller and B. TempleShock-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. Zbl0824.53080MR96b:83024
  8. [8] J. Smoller and B. TempleAstrophysical shock-wave solutions of the Einstein equations, (to appear), Phys. Rev. D, 51, N°. 6 (March 1995). MR96c:83015
  9. [9] J. Smoller and B. TempleGeneral relativistic shock-waves that extend the Oppenheimer Snyder model, (in preparation). Zbl0888.76096
  10. [10] R. Tolman, Static Solutions of Einstein's Field Equations for Spheres of Fluid, Physical Review, 55 (1939), pp. 364-374. Zbl0020.28407JFM65.1048.02
  11. [11] R. Tolman, Relativity, Thermodynamics and Cosmology, Oxford University Press, 1934. Zbl0009.41304JFM60.0757.06
  12. [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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