Nonaxisymmetric instability and fragmentation of general relativistic quasitoroidal stars

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 76, Issue 2, 2007, Pages

  Zink, Burkhard ^a   Stergioulas, Nikolaos ^b   Hawke, Ian ^c   Ott, Christian D ^d,e   Schnetter, Erik ^a,d   Müller, Ewald ^f  

^a LOUISIANA STATE UNIVERSITY   (United States)

^b ARISTOTLE UNIVERSITY OF THESSALONIKI   (Greece)

^c UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

^d ALBERT EINSTEIN INSTITUT   (Germany)

^e UNIVERSITY OF ARIZONA   (United States)

^f MAX PLANCK INSTITUT FÜR ASTROPHYSIK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34547581405     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.76.024019     Document Type: Article

References (101)

1. J.-L. Tassoul, Theory of Rotating Stars (Princeton University, Princeton, NJ, 1978), ISBN 0-691-08211-1.
2. B. Zink, N. Stergioulas, I. Hawke, C.D. Ott, E. Schnetter, and E. Müller, Phys. Rev. Lett. 96, 161101 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.161101
3. A.L. Watts, N. Andersson, and D.I. Jones, Astrophys. J. 618, L37 (2005). ASJOAB 0004-637X 10.1086/427653
4. N. Stergioulas, Living Rev. Relativity 1, 8 (1998), http://www. livingreviews.org/lrr-1998-8. 1433-8351
5. K.S. Thorne, Reviews in Modern Astronomy RMASEP 10, 1 (1997).
6. L. Baiotti, I. Hawke, L. Rezzolla, and E. Schnetter, Phys. Rev. Lett. 94, 131101 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.94.131101
7. J.L. Houser, J.M. Centrella, and S.C. Smith, Phys. Rev. Lett. 72, 1314 (1994). PRLTAO 0031-9007 10.1103/PhysRevLett.72.1314
8. J.R. Oppenheimer and H. Snyder, Phys. Rev. PHRVAO 0031-899X 56, 455 (1939). 10.1103/PhysRev.56.455
9. S. Chandrasekhar, Astrophys. J. 140, 417 (1964). ASJOAB 0004-637X 10.1086/147938
10. M.M. May and R.H. White, Phys. Rev. 141, 1232 (1966). PHRVAO 0031-899X 10.1103/PhysRev.141.1232
11. S.L. Shapiro and S.A. Teukolsky, Astrophys. J. 234, L177 (1979). ASJOAB 0004-637X 10.1086/183134
12. S.L. Shapiro and S.A. Teukolsky, Astrophys. J. 235, 199 (1980). ASJOAB 0004-637X 10.1086/157625
13. T. Nakamura, K. Maeda, S. Miyama, and M. Sasaki, Prog. Theor. Phys. 63, 1229 (1980). PTPKAV 0033-068X 10.1143/PTP.63.1229
14. T. Nakamura, Prog. Theor. Phys. 65, 1876 (1981). PTPKAV 0033-068X 10.1143/PTP.65.1876
15. T. Nakamura, Prog. Theor. Phys. 66, 2038 (1981). PTPKAV 0033-068X 10.1143/PTP.66.2038
16. T. Nakamura, Prog. Theor. Phys. 70, 1144 (1983). PTPKAV 0033-068X 10.1143/PTP.70.1144
17. R.F. Stark and T. Piran, Phys. Rev. Lett. 55, 891 (1985). PRLTAO 0031-9007 10.1103/PhysRevLett.55.891
18. M. Shibata, Prog. Theor. Phys. 104, 325 (2000). PTPKAV 0033-068X 10.1143/PTP.104.325
19. M. Shibata, T.W. Baumgarte, and S.L. Shapiro, Phys. Rev. D 61, 044012 (2000). PRVDAQ 0556-2821 10.1103/PhysRevD.61.044012
20. M. Saijo, T.W. Baumgarte, S.L. Shapiro, and M. Shibata, Astrophys. J. 569, 349 (2002). ASJOAB 0004-637X 10.1086/339268
21. M. Shibata and S.L. Shapiro, Astrophys. J. Lett. 572, L39 (2002). AJLEEY 0004-637X 10.1086/341516
22. J.A. Font, T. Goodale, S. Iyer, M. Miller, L. Rezzolla, E. Seidel, N. Stergioulas, W.-M. Suen, and M. Tobias, Phys. Rev. D 65, 084024 (2002). PRVDAQ 0556-2821 10.1103/PhysRevD.65.084024
23. M. Shibata, Phys. Rev. D 67, 024033 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.67.024033
24. M.D. Duez, P. Marronetti, S.L. Shapiro, and T.W. Baumgarte, Phys. Rev. D 67, 024004 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.67.024004
25. M.D. Duez, S.L. Shapiro, and H.-J. Yo, Phys. Rev. D 69, 104016 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.69.104016
26. M. Saijo, Astrophys. J. 615, 866 (2004). ASJOAB 0004-637X 10.1086/424700
27. L. Baiotti, I. Hawke, P.J. Montero, F. Löffler, L. Rezzolla, N. Stergioulas, J.A. Font, and E. Seidel, Phys. Rev. D 71, 024035 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.71.024035
28. S.A. Hughes, C.R. Keeton, II, P. Walker, K.T. Walsh, S.L. Shapiro, and S.A. Teukolsky, Phys. Rev. D 49, 4004 (1994). PRVDAQ 0556-2821 10.1103/PhysRevD.49.4004
29. A.M. Abrahams, G.B. Cook, S.L. Shapiro, and S.A. Teukolsky, Phys. Rev. D 49, 5153 (1994). PRVDAQ 0556-2821 10.1103/PhysRevD.49.5153
30. S. Chandrasekhar, Ellipsoidal Figures of Equilibrium (Yale University, New Haven, CT, 1969), revised edition 1987.
31. D.M. Christodoulou, D. Kazanas, I. Shlosman, and J.E. Tohline, Astrophys. J. 446, 472 (1995). ASJOAB 0004-637X 10.1086/175806
32. J.E. Tohline, R.H. Durisen, and M. McCollough, Astrophys. J. 298, 220 (1985). ASJOAB 0004-637X 10.1086/163600
33. R.H. Durisen, R.A. Gingold, J.E. Tohline, and A.P. Boss, Astrophys. J. 305, 281 (1986). ASJOAB 0004-637X 10.1086/164248
34. J.E. Tohline and I. Hachisu, Astrophys. J. 361, 394 (1990). ASJOAB 0004-637X 10.1086/169205
35. I.A. Bonnell and M.R. Bate, Mon. Not. R. Astron. Soc. 271, 999 (1994). MNRAA4 0035-8711
36. A. Loeb and F.A. Rasio, Astrophys. J. 432, 52 (1994). ASJOAB 0004-637X 10.1086/174548
37. I.A. Bonnell and J.E. Pringle, Mon. Not. R. Astron. Soc. 273, L12 (1995). MNRAA4 0035-8711
38. B.K. Pickett, R.H. Durisen, and G.A. Davis, Astrophys. J. 458, 714 (1996). ASJOAB 0004-637X 10.1086/176852
39. J.L. Houser and J.M. Centrella, Phys. Rev. D 54, 7278 (1996). PRVDAQ 0556-2821 10.1103/PhysRevD.54.7278
40. M. Rampp, E. Müller, and M. Ruffert, Astron. Astrophys. 332, 969 (1998). AAEJAF 0004-6361
41. J.D. Brown, Phys. Rev. D 62, 084024 (2000). PRVDAQ 0556-2821 10.1103/PhysRevD.62.084024
42. J.N. Imamura and R.H. Durisen, Astrophys. J. 549, 1062 (2001). ASJOAB 0004-637X 10.1086/319451
43. J.M. Centrella, K.C.B. New, L.L. Lowe, and J.D. Brown, Astrophys. J. 550, L193 (2001). ASJOAB 0004-637X 10.1086/319634
44. M. Colpi and I. Wasserman, Astrophys. J. 581, 1271 (2002). ASJOAB 0004-637X 10.1086/344405
45. M.B. Davies, A. King, S. Rosswog, and G. Wynn, Astrophys. J. Lett. 579, L63 (2002). AJLEEY 0004-637X 10.1086/345288
46. J.N. Imamura, B.K. Pickett, and R.H. Durisen, Astrophys. J. 587, 341 (2003). ASJOAB 0004-637X 10.1086/368176
47. R. Banerjee, R.E. Pudritz, and L. Holmes, Mon. Not. R. Astron. Soc. 355, 248 (2004). MNRAA4 0035-8711 10.1111/j.1365-2966.2004.08316.x
48. C.D. Ott, S. Ou, J.E. Tohline, and A. Burrows, Astrophys. J. 625, L119 (2005). ASJOAB 0004-637X 10.1086/431305
49. C.W. Misner, K.S. Thorne, and J.A. Wheeler, Gravitation (Freeman, San Francisco, 1973).
50. A.L. Watts, N. Andersson, H. Beyer, and B.F. Schutz, Mon. Not. R. Astron. Soc. 342, 1156 (2003). MNRAA4 0035-8711 10.1046/j.1365-8711.2003.06612.x
51. A.L. Watts, N. Andersson, and R.L. Williams, Mon. Not. R. Astron. Soc. 350, 927 (2004). MNRAA4 0035-8711 10.1111/j.1365-2966.2004.07695.x
52. J.C.B. Papaloizou and J.E. Pringle, Mon. Not. R. Astron. Soc. 208, 721 (1984). MNRAA4 0035-8711
53. J.C.B. Papaloizou and J.E. Pringle, Mon. Not. R. Astron. Soc. 213, 799 (1985). MNRAA4 0035-8711
54. E. Balbinski, Mon. Not. R. Astron. Soc. 216, 897 (1985). MNRAA4 0035-8711
55. M. Saijo and S. Yoshida, Mon. Not. R. Astron. Soc. 368, 1429 (2006). MNRAA4 0035-8711 10.1111/j.1365-2966.2006.10229.x
56. S.L. Shapiro and S.A. Teukolsky, Black Holes, White Dwarfs, and Neutron Stars (John Wiley & Sons, New York, 1983).
57. G.M. Fuller, S.E. Woosley, and T.A. Weaver, Astrophys. J. 307, 675 (1986). ASJOAB 0004-637X 10.1086/164452
58. K.C.B. New and J.M. Centrella, in Astrophysical Sources for Ground-Based Gravitational Wave Detectors, AIP Conf. Proc. No. 575 (AIP, New York, 2001), p. 221.
59. K.C.B. New and S.L. Shapiro, Astrophys. J. 548, 439 (2001). ASJOAB 0004-637X 10.1086/318662
60. P. Bodenheimer and J.P. Ostriker, Astrophys. J. 180, 159 (1973). ASJOAB 0004-637X 10.1086/151951
61. M. Shibata, T.W. Baumgarte, and S.L. Shapiro, Astrophys. J. 542, 453 (2000). ASJOAB 0004-637X 10.1086/309525
62. M. Saijo, M. Shibata, T.W. Baumgarte, and S.L. Shapiro, Astrophys. J. 548, 919 (2001). ASJOAB 0004-637X 10.1086/319016
63. M. Shibata and Y.-i. Sekiguchi, Phys. Rev. D 71, 024014 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.71.024014
64. M. Saijo, Phys. Rev. D 71, 104038 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.71.104038
65. L. Baiotti, R.D. Pietri, G.M. Manca, and L. Rezzolla, Phys. Rev. D 75, 044023 (2007). PRVDAQ 0556-2821 10.1103/PhysRevD.75.044023
66. T.W. Baumgarte and S.L. Shapiro, Astrophys. J. 585, 930 (2003). ASJOAB 0004-637X 10.1086/346104
67. M.D. Duez, Y.T. Liu, S.L. Shapiro, M. Shibata, and B.C. Stephens, Phys. Rev. Lett. 96, 031101 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.031101
68. M. Shibata, S. Karino, and Y. Eriguchi, Mon. Not. R. Astron. Soc. 334, L27 (2002). MNRAA4 0035-8711 10.1046/j.1365-8711.2002.05724.x
69. M. Shibata, S. Karino, and Y. Eriguchi, Mon. Not. R. Astron. Soc. 343, 619 (2003). MNRAA4 0035-8711 10.1046/j.1365-8711.2003.06699.x
70. T. Goodale, G. Allen, G. Lanfermann, J. Massó, T. Radke, E. Seidel, and J. Shalf, in Vector and Parallel Processing-VECPAR'2002, 5th International Conference, Lecture Notes in Computer Science (Springer, Berlin, 2003).
71. http://www.cactuscode.org.
72. M. Alcubierre, B. Brügmann, T. Dramlitsch, J.A. Font, P. Papadopoulos, E. Seidel, N. Stergioulas, and R. Takahashi, Phys. Rev. D 62, 044034 (2000). PRVDAQ 0556-2821 10.1103/PhysRevD.62.044034
73. B. Gustafsson, H.-O. Kreiss, and J. Oliger, Time Dependent Problems and Difference Methods (Wiley, New York, 1995).
74. K.C.B. New, K. Watt, C.W. Misner, and J.M. Centrella, Phys. Rev. D 58, 064022 (1998). PRVDAQ 0556-2821 10.1103/PhysRevD.58.064022
75. CactusEinstein Toolkit home p., http://www.cactuscode.org/Community/ NumericalRelativity/.
76. R. Arnowitt, S. Deser, and C.W. Misner, in Gravitation: An Introduction to Current Research, edited by, L. Witten, (Wiley, New York, 1962), p. 227.
77. T. Nakamura, K. Oohara, and Y. Kojima, Prog. Theor. Phys. Suppl. 90, 1 (1987). PTPSEP 0375-9687 10.1143/PTPS.90.1
78. M. Shibata and T. Nakamura, Phys. Rev. D 52, 5428 (1995). PRVDAQ 0556-2821 10.1103/PhysRevD.52.5428
79. T.W. Baumgarte and S.L. Shapiro, Phys. Rev. D 59, 024007 (1998). PRVDAQ 0556-2821 10.1103/PhysRevD.59.024007
80. M. Alcubierre, B. Brügmann, P. Diener, M. Koppitz, D. Pollney, E. Seidel, and R. Takahashi, Phys. Rev. D 67, 084023 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.67.084023
81. J.W. York, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 14, 456 (1973). 10.1063/1.1666338
82. C. Bona, J. Massó, E. Seidel, and J. Stela, Phys. Rev. Lett. 75, 600 (1995). PRLTAO 0031-9007 10.1103/PhysRevLett.75.600
83. http://www.aei.mpg.de/ hawke/Whisky.html.
84. F. Banyuls, J.A. Font, J.M. Ibáñez, J.M. Martí, and J.A. Miralles, Astrophys. J. 476, 221 (1997). ASJOAB 0004-637X 10.1086/303604
85. J.A. Font, M. Miller, W.M. Suen, and M. Tobias, Phys. Rev. D 61, 044011 (2000). PRVDAQ 0556-2821 10.1103/PhysRevD.61.044011
86. M.J. Berger and J. Oliger, J. Comput. Phys. 53, 484 (1984). JCTPAH 0021-9991 10.1016/0021-9991(84)90073-1
87. E. Schnetter, S.H. Hawley, and I. Hawke, Classical Quantum Gravity CQGRDG 0264-9381 21, 1465 (2004). 10.1088/0264-9381/21/6/014
88. http://www.carpetcode.org.
89. N. Stergioulas and J.L. Friedman, Astrophys. J. 444, 306 (1995). ASJOAB 0004-637X 10.1086/175605
90. N. Stergioulas, Ph.D. thesis, University of Wisconsin-Milwaukee, Milwaukee, Wisconsin, 1996.
91. G.B. Cook, S.L. Shapiro, and S.A. Teukolsky, Astrophys. J. 422, 227 (1994). ASJOAB 0004-637X 10.1086/173721
92. H. Komatsu, Y. Eriguchi, and I. Hachisu, Mon. Not. R. Astron. Soc. 237, 355 (1989). MNRAA4 0035-8711
93. H. Komatsu, Y. Eriguchi, and I. Hachisu, Mon. Not. R. Astron. Soc. 239, 153 (1989). MNRAA4 0035-8711
94. B.F. Schutz and E. Verdaguer, Mon. Not. R. Astron. Soc. 202, 881 (1983). MNRAA4 0035-8711
95. L. Baiotti and L. Rezzolla, Phys. Rev. Lett. 97, 141101 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.97.141101
96. L. Lehner, O. Reula, and M. Tiglio, Classical Quantum Gravity CQGRDG 0264-9381 22, 5283 (2005). 10.1088/0264-9381/22/24/006
97. B. Zink, P. Diener, E. Pazos, and M. Tiglio, Phys. Rev. D 73, 084011 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.73.084011
98. Y.-i. Sekiguchi and M. Shibata, Phys. Rev. D 70, 084005 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.70.084005
99. B.R. Durney and I.W. Roxburgh, Proc. R. Soc. A 296, 189 (1967). PRLAAZ 0080-4630 10.1098/rspa.1967.0013
100. S. Chandrasekhar and N.R. Lebovitz, Astrophys. J. 152, 267 (1968). ASJOAB 0004-637X 10.1086/149544
101. J.B. Hartle, K.S. Thorne, and S.M. Chitre, Astrophys. J. 176, 177 (1972). ASJOAB 0004-637X 10.1086/151620