Smooth static solutions of the spherically symmetric Vlasov-Einstein system

G. Rein; A. D. Rendall

Annales de l'I.H.P. Physique théorique (1993)

  • Volume: 59, Issue: 4, page 383-397
  • ISSN: 0246-0211

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Rein, G., and Rendall, A. D.. "Smooth static solutions of the spherically symmetric Vlasov-Einstein system." Annales de l'I.H.P. Physique théorique 59.4 (1993): 383-397. <http://eudml.org/doc/76627>.

@article{Rein1993,
author = {Rein, G., Rendall, A. D.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {existence of special solutions},
language = {eng},
number = {4},
pages = {383-397},
publisher = {Gauthier-Villars},
title = {Smooth static solutions of the spherically symmetric Vlasov-Einstein system},
url = {http://eudml.org/doc/76627},
volume = {59},
year = {1993},
}

TY - JOUR
AU - Rein, G.
AU - Rendall, A. D.
TI - Smooth static solutions of the spherically symmetric Vlasov-Einstein system
JO - Annales de l'I.H.P. Physique théorique
PY - 1993
PB - Gauthier-Villars
VL - 59
IS - 4
SP - 383
EP - 397
LA - eng
KW - existence of special solutions
UR - http://eudml.org/doc/76627
ER -

References

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  1. [1] J. Batt, Steady State Solutions of the Relativistic Vlasov-Poisson System, in Proceedings of the Fifth Marcel Grossmann Meeting on General Relativity, R. RUFFINI Ed., 1988. MR1056993
  2. [2] J. Batt, H. Berestycki, P. Degond and B. Perthame, Some Families of Solutions of the Vlasov-Poisson System, Arch. Rational Mech. Anal., Vol. 104, 1988, pp. 79- 103. Zbl0703.35171MR956568
  3. [3] J. Batt, W. Faltenbacher and E. Horst, Stationary Spherically Symmetric Models in Stellar Dynamics, Arch. Rational Mech. Anal., Vol. 93, 1986, pp. 159-183. Zbl0605.70008MR823117
  4. [4] J. Batt and K. Pfaffelmoser, On the Radius Continuity of the Models of Polytropic Gas Spheres which Correspond to the Positive Solutions of the Generalized Emden–Fowler Equation, Math. Meth. in the Appl. Sci., Vol. 10, 1988, pp. 499-516. Zbl0676.34017MR965418
  5. [5] J. Kijowski and G. Magli, A Generalization of the Relativistic Equilibrium Equation for a Nonrotating Star, General Relativity and Gravitation, Vol. 24, 1992, pp. 139- 158. MR1147071
  6. [6] G. Rein and A. Rendall, Global Existence of Solutions of the Spherically Symmetric Vlasov-Einstein System with Small Initial Data, Commun. Math. Phys., Vol. 150, 1992, pp. 561-583. Zbl0774.53056MR1204320
  7. [7] G. Rein and A. Rendall, The Newtonian limit of the Spherically Symmetric Vlasov–Einstein System, Commun. Math. Phys., Vol. 150, 1992, pp. 585-591. Zbl0772.53063MR1204321
  8. [8] A. Rendall and B. Schmidt, Existence and Properties of Spherically Symmetric Static Fluid Bodies with a Given Equation of State, Class. Quantum Grav., Vol. 8, 1991, pp. 985-1000. Zbl0724.53055MR1104769
  9. [9] S.L. Shapiro and S.A. Teukolsky, Relativistic Stellar Dynamics on the Computer, I. Motivation and Numerical Method, Astrophysical Journal, Vol. 298, 1985, pp. 34- 57. MR945483
  10. [10] J. Smoller, A. Wasserman, S.-T. Yau and J. Mcleod, Smooth Static Solutions of the Einstein/Yang-Mills Equations, Commun. Math. Phys., Vol. 143, 1991, pp. 115- 147. Zbl0755.53061MR1139427

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