Global classical solutions to the spherically symmetric Nordström-Vlasov system

Mathematical Proceedings of the Cambridge Philosophical Society

Volumn 138, Issue 3, 2005, Pages 533-539

  Andreasson, Håkan ^a   Calogero, Simone ^b   Rein, Gerhard ^c  

^a CHALMERS UNIVERSITY OF TECHNOLOGY   (Sweden)

^b ALBERT EINSTEIN INSTITUT   (Germany)

^c UNIVERSITY OF BAYREUTH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 18844435209     PISSN: 03050041     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0305004105008467     Document Type: Article

References (17)

1. H. ANDRÉASSON. The Einstein-Vlasov system/kinetic theory. Living Rev. Relativ. 5 (2002).
2. S. CALOGERO. Spherically symmetric steady states of galactic dynamics in scalar gravity. Class. Quantum Grav. 20 (2003), 1729-1741.
3. S. CALOGERO and H. LEE. The non-relativistic limit of the Nordström-Vlasov system. Comm. Math. Sci. 2 (2004), 19-34.
4. S. CALOGERO and G. REIN. On classical solutions of the Nordström-Vlasov system. Commun. Partial Differential Equations 28 (2003), 1863-1885.
5. S. CALOGERO and G. REIN. Global weak solutions to the Nordström-Vlasov system. J. Differential Equations 204 (2004), 323-338.
6. D. CHRISTODOULOU and S. KLAINERMAN. The Global Nonlinear Stability of Minkowski Space (Princeton University Press, 1993).
7. R. T. GLASSEY and W. STRAUSS. Absence of Shocks in an initially dilute collisionless plasma. Commun. Math. Phys. 113 (1987), 191-208.
8. P.-L. LIONS and B. PERTHAME. Propagation of moments and regularity for the 3-dimensional Vlasov-Poisson system. Invent. Math. 105 (1991), 416-430.
9. G. NORDSTRÖM. Zur theorie der gravitation vom Standpunkt des relativitätsprinzips. Ann. Phys. Lpz. 42 (1913), 533.
10. K. PFAFFELMOSER. Global classical solutions of the Vlasov-Poisson system in three dimensions for general initial data. J. Differential Equations. 95 (1992), 281-303.
11. G. REIN. Selfgravitating systems in Newtonian theory - the Vlasov-Poisson system. Banach Center Publications 41, Part I (1997), 179-194.
12. G. REIN and A. D. RENDALL. Global existence of solutions of the spherically symmetric Vlasov-Einstein system with small initial data. Commun. Math. Phys. 150 (1992), 561-583.
13. G. REIN, A. D. RENDALL and J. SCHAEFFER. A regularity theorem for the spherically symmetric Vlasov-Einstein system. Commun. Math. Phys. 168 (1995), 467-478.
14. G. REIN, A. D. RENDALL and J. SCHAEFFER. Critical collapse of collisionless matter: A numerical investigation. Phys. Rev. D, 58 (1998), 044007-1-044007-8.
15. A. D. RENDALL. Theorems on existence and global dynamics for the Einstein equations. Living Rev. Relativ. 5 (2002).
16. A. D. RENDALL. Cosmic censorship and the Vlasov equation. Class. Quantum Grav. 9 (1992), L99-L104.
17. J. SCHAEFFER. Global existence of smooth solutions to the Vlasov-Poisson system in three dimensions. Commun. Partial Differential Equations 16 (1991), 1313-1335.