Smooth static solutions of the spherically symmetric Vlasov-Einstein system
Rein, G. ; Rendall, A. D.
Annales de l'I.H.P. Physique théorique, Tome 59 (1993), p. 383-397 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1993-01-01
@article{AIHPA_1993__59_4_383_0,
     author = {Rein, G. and Rendall, A. D.},
     title = {Smooth static solutions of the spherically symmetric Vlasov-Einstein system},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {59},
     year = {1993},
     pages = {383-397},
     mrnumber = {1254978},
     zbl = {0810.35138},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1993__59_4_383_0}
}

Rein, G.; Rendall, A. D. Smooth static solutions of the spherically symmetric Vlasov-Einstein system. Annales de l'I.H.P. Physique théorique, Tome 59 (1993) pp. 383-397. http://gdmltest.u-ga.fr/item/AIHPA_1993__59_4_383_0/

[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. | MR 1056993

[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. | MR 956568 | Zbl 0703.35171

[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. | MR 823117 | Zbl 0605.70008

[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. | MR 965418 | Zbl 0676.34017

[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. | MR 1147071

[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. | MR 1204320 | Zbl 0774.53056

[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. | MR 1204321 | Zbl 0772.53063

[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. | MR 1104769 | Zbl 0724.53055

[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. | MR 945483

[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. | MR 1139427 | Zbl 0755.53061