Exact relativistic treatment of stationary counterrotating dust disks: Boundary value problems and solutions

Physical Review D

Volumn 63, Issue 6, 2001, Pages

  Klein, C ^a  

^a SORBONNE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; ASTRONOMY; COSMOS; MATHEMATICAL MODEL; PHYSICS; THERMODYNAMICS; VELOCITY;

EID: 0034904177     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.63.064033     Document Type: Article

References (48)

1. J. B. Hartle and D. H. Sharp, Astrophys. J. 147, 317 (1967).
2. L. Lindblom, Astrophys. J. 208, 873 (1976).
3. H. D. Wahlquist, Phys. Rev. 172, 1291 (1968).
4. M. Bradley, G. Fodor, M. Marklund, and Z. Perjés, Class. Quantum Grav. 17, 351 (2000).
5. F. J. Ernst, Phys. Rev. 167, 1175 (1968);
6. Phys. Rev. 168, 1415 (1968).
7. D. Maison, Phys. Rev. Lett. 41, 521 (1978).
8. V. A. Belinski and V. E. Zakharov, Zh. Eksp. Teor. Fiz. 75, 1953 (1978)
9. [Sov. Phys. JETP 48, 985 (1978)].
10. G. Neugebauer, J. Phys. A 12, L67 (1979).
11. C. Struck, Phys. Rep. 321, 1 (1999).
12. J. Bicâk, D. Lynden-Bell, and J. Katz, Phys. Rev. D 47, 4334 (1993);
13. Mon. Not. R. Astron. Soc. 265, 126 (1993).
14. J. Bicâk and T. Ledvinka, Phys. Rev. Lett. 71, 1669 (1993).
15. T. Nozawa, N. Stergioulas, E. Gourgoulhon, and Y. Eriguchi, Astron. Astrophys., Suppl. Ser. 132, 431 (1998).
16. A. Lanza in Approaches to Numerical Relativity, edited by R. D'lnvemo (Cambridge University Press, Cambridge, England, 1992), p. 281.
17. J. M. Bardeen and R. V. Wagoner, Astrophys. J. 167, 359 (1971).
18. J. Binney and S. Tremaine, Galactic Dynamics (Princeton University Press, Princeton, 1987).
19. C. Klein and O. Richter, J. Geom. Phys. 24, 53 (1997).
20. C. Klein and O. Richter, Phys. Rev. D 57, 857 (1998).
21. D. A. Korotkin, Theor. Math. Phys. 77, 1018 (1989);
22. Commun. Math. Phys. 137, 383 (1991);
23. Class. Quantum Grav. 10, 2587(1993).
24. C. Klein and O. Richter, Phys. Rev. Lett. 83, 2884 (1999).
25. T. Morgan and L. Morgan, Phys. Rev. 183, 1097 (1969); 188, 2544(E) (1969).
26. G. Neugebauer and R. Meinel, Astrophys. J. Lett. 414, L97 (1993);
27. Phys. Rev. Lett. 73, 2166 (1994); 75, 3046 (1995).
28. D. Kramer, H. Stephani, E. Herlt, and M. MacCallum, Exact Solutions of Einstein's Field Equations (Cambridge University Press, Cambridge, England, 1980).
29. C. Pichon and D. Lynden-Bell, Mon. Not. R. Astron. Soc. 280, 1007 (1996).
30. W. Israel, Nuovo Cimento Soc. liai. Fis., B 44, l (1966); 48, 463(E) (1967).
31. H. M. Farkas and I. Kra, Riematm Surfaces, Graduate Texts in Mathematics Vol. 71 (Springer, Berlin, 1993).
32. E. D. Belokolos, A. I. Bobenko, V. Z. Enolskii, A. R. Its, and V. B. Matveev, Algebra-Geometric Approach to Nonlinear Integrable Equations (Springer, Berlin, 1994).
33. D. Korotkin and V. Matveev, Funct. Anal. Appl. 34, 1 (2000).
34. D. Korotkin and V. Matveev, Lett. Math. Phys. 49,145 (1999).
35. C. Klein and O. Richter, Phys. Rev. Lett. 79, 565 (1997).
36. C. Klein and O. Richter, Phys. Rev. D 58, 124018 (1998).
37. R. Meinel and G. Neugebauer, Phys. Lett. A 210, 160 (1996).
38. D. A. Korotkin, Phys. Lett. A 229, 195 (1997).
39. M. Ansorg and R. Meinel, Gen. Relativ. Gravit. 32, 1365 (2000).
40. R. Geroch, J. Math. Phys. 11, 2580 (1970).
41. R. Hansen, J. Math. Phys. 15, 46 (1974).
42. G. Fodor, C. Hoenselaers, and Z. Perjés, J. Math. Phys. 30, 2252 (1989).
43. I. Hauser and F. Ernst, J. Math. Phys. 21, 1126 (1980).
44. P. Kordas, Class. Quantum Grav. 12, 2037 (1995).
45. R. Meinel and G. Neugebauer, Class. Quantum Grav. 12, 2045 (1995).
46. K. Thorne in Magic Without Magic: John Archibald Wheeler, edited by by J. Klauder (Freeman, San Francisco, 1972), p. 231.
47. U. Schaudt and H. Pfister, Phys. Rev. Lett. 77, 3284 (1996).
48. U. Schaudt, Commun. Math. Phys. 190, 509 (1998).