Jacobi-like bar mode instability of relativistic rotating bodies

Physical Review D

Volumn 66, Issue 4, 2002, Pages

  Gondek Rosińska, Dorota ^a,b   Gourgoulhon, Eric ^a  

^a OBSERVATOIRE DE PARIS   (France)

^b NICOLAUS COPERNICUS ASTRONOMICAL CENTER   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CALCULATION; ENERGY; GRAVITY; KINETICS; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; QUANTUM MECHANICS; ROTATION;

EID: 0037104536     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.66.044021     Document Type: Article

References (50)

1. S. Chandrasekhar, Ellipsoidal Figures of Equilibrium (Yale University Press, New Haven, 1969).
2. W.H. Press and S.A. Teukolsky, Astrophys. J. 181, 513 (1973).
3. G. Bertin and L.A. Radicati, Astrophys. J. 206, 815 (1976).
4. D.M. Christodoulou, D. Kazanas, I. Shlosman, and J.E. Tohline, Astrophys. J. 446, 472 (1995).
5. N. Andersson, Class. Quantum Grav. (to be published).
6. J.R. Ipser and R.A. Managan, Astrophys. J. 250, 362 (1981).
7. S. Chandrasekhar, Astrophys. J. 148, 621 (1967).
8. S. Chandrasekhar, Astrophys. J. 167, 455 (1971).
9. K. Taniguchi, Ph.D. thesis, Kyoto University, 1999, Chap. 7.
10. S.L. Shapiro and S. Zane, Astrophys. J., Suppl. Ser. 117, 531 (1998).
11. T. Di Girolamo and M. Vietri, Astrophys. J. (to be published), astro-ph/0205398.
12. S. Bonazzola, J. Frieben, and E. Gourgoulhon, Astrophys. J. 460, 379 (1996).
13. S. Bonazzola, J. Frieben, and E. Gourgoulhon, Astron. Astrophys. 331, 280 (1998).
14. R.A. James, Astrophys. L 140, 552 (1964).
15. D. Skinner and L. Lindblom, Astrophys. J. 461, 920 (1996).
16. N. Stergioulas and J.L. Friedman, Astrophys. J. 492, 301 (1998).
17. S.M. Morsink, N. Stergioulas, and S.R. Blatting, Astrophys. J. 510, 854 (1999).
18. S. Detweiler, in Frontiers in Numerical Relativity, edited by C.R. Evans, L.S. Finn, and D. W. Hobill (Cambridge University Press, Cambridge, England, 1989), p. 43.
19. S. Bonazzola, E. Gourgoulhon, and J.-A. Marck, Phys. Rev. D 56, 7740 (1997).
20. T.W. Baumgarte, G.B. Cook, M.A. Scheel, S.L. Shapiro, and S.A. Teukolsky, Phys. Rev. D 57, 7299 (1998).
21. E. Gourgoulhon, P. Grandclément, and S. Bonazzola, Phys. Rev. D 65, 044020 (2002).
22. J.L. Friedman, K. Uryu, and M. Shibata, Phys. Rev. D 65, 064035 (2002).
23. A. Lichnerowicz, Relativistic Hydrodynamics and Magnetohy-drodynamics (Benjamin, New York, 1967).
24. B. Carter, in Active Galactic Nuclei, edited by C. Hazard and S. Mitton (Cambridge University Press, Cambridge, England, 1979), p. 273.
25. R.H. Boyer, Proc. Cambridge Philos. Soc. 61, 527 (1965).
26. S. Bonazzola, E. Gourgoulhon, M. Salgado, and J.-A. Marck, Astron. Astrophys. 278, 421 (1993).
27. E. Gourgoulhon, P. Haensel, R. Livine, E. Paluch, S. Bonazzola, and J.-A. Marck, Astron. Astrophys. 349, 851 (1999).
28. A. Papapetrou, Ann. Inst. Henri Poincaré, Sect. A 4, 83 (1966).
29. W. Kundt and M. Trümper, Z. Phys. 192, 419 (1966).
30. B. Carter, J. Math. Phys. 10, 70 (1969).
31. S. Bonazzola, E. Gourgoulhon, and J.-A. Marck, Phys. Rev. D 58, 104020 (1998).
32. P. Grandclément, S. Bonazzola, E. Gourgoulhon, and J.-A. Marck, J. Comput. Phys. 170, 231 (2001).
33. http://www.lorene.obspm.fr/
34. S. Bonazzola, Astrophys. J. 182, 335 (1973).
35. S. Bonazzola and E. Gourgoulhon, Class. Quantum Grav. 11, 1775 (1994).
36. E. Gourgoulhon and S. Bonazzola, Class. Quantum Grav. 11, 443 (1994).
37. T. Nozawa, N. Stergioulas, E. Gourgoulhon, and Y. Eriguchi, Astron. Astrophys., Suppl. Ser. 132, 431 (1998).
38. M. Ansorg, A. Kleinwaechter, and R. Meinet, Astron. Astrophys. 381, L49 (2002).
39. E. Gourgoulhon, P. Haensel, R. Livine, E. Paluch, S. Bonazzola, and J.-A. Marck, Astron. Astrophys. 349, 851 (1999).
40. D. Gondek-Rosińska, P. Haensel, J.L. Zdunik, and E. Gourgoulhon, Astron. Soc. Pac. Conf. Ser. 202, 661 (2000).
41. J.L. Zdunik, T. Bulik, W. Kluźniak, P. Haensel, and D. Gondek-Rosińska, Astron. Astrophys. 359, 143 (2000).
42. J.L. Zdunik, P. Haensel, D. Gondek-Rosińska, and E. Gourgoulhon, Astron. Astrophys. 356, 612 (2000).
43. D. Gondek-Rosińska, T. Bulik, L. Zdunik, E. Gourgoulhon, S. Ray, J. Dey, and M. Dey, Astron. Astrophys. 363, 1005 (2000).
44. D. Gondek-Rosińska, N. Stergioulas, T. Bulik, W. Kluźniak, . and E. Gourgoulhon, Astron. Astrophys. 380, 190 (2001).
45. D. Gondek-Rosińska, T. Bulik, W. Kluźniak, L. Zdunik, and E. Gourgoulhon, Eur. Space Agency, [Spec. Publ.] ESA SP-459, 223 (2001).
46. P. Amsterdamski, T. Bulik, D. Gondek-Rosińska, and W. Kluźniak, Astron. Astrophys. 381, L21 (2002).
47. J.L. Friedman, J.R. Ipser, and L. Parker, Astrophys. J. 304, 115 (1986).
48. N. Stergioulas and J.L. Friedman, Astrophys. J. 444, 306 (1995).
49. N. Stergioulas, Living Rev. Relativ, 1, 8 (1998).
50. A.P. Lightman, W.H. Press, R.H. Price, and S.A. Teukolsky, Problem Book in Relativity and Gravitation (Princeton University Press, Princeton, NJ, 1979).