General relativistic hydrodynamics with viscosity: Contraction, catastrophic collapse, and disk formation in hypermassive neutron stars

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 69, Issue 10, 2004, Pages

  Duez, Matthew D ^a   Liu, Yuk Tung ^a   Shapiro, Stuart L ^a   Stephens, Branson C ^a  

^a University of Illinois at Urbana Champaign   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3042784522     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.69.104030     Document Type: Article

References (90)

1. S. Chandrasekhar, Ellipsoidal Figures of Equilibrium (Yale University Press, New Haven, CT, 1969).
2. W.H. Press and S.A. Teukolsky, Astrophys. J. 181, 513 (1973)
3. D. Lai, F.A. Rasio, and S.L. Shapiro, Astrophys. J., Suppl. Ser. 88, 205 (1993)
4. D. Skinner and L. Lindblom, Astrophys. J. 461, 920 (1996).
5. S. Bonazzola, J. Frieben, and E. Gourgoulhon, Astrophys. J. 460, 379 (1996)
6. S.L. Shapiro and S. Zane, Astrophys. J., Suppl. Ser. 117, 531 (1998)
7. T.D. Girolamo and M. Vietri, Astrophys. J. 581, 519 (2002)
8. D. Gondek-Rosinska and E. Gourgoulhon, Phys. Rev. D 66, 044021 (2002).
9. L. Lindblom, B.J. Owen, and S.M. Morsink, Phys. Rev. Lett. 80, 4843 (1998).
10. P.B. Jones, Phys. Rev. Lett. 86, 1384 (2001)
11. P.B. JonesPhys. Rev. D 64, 084003 (2001)
12. Phys. Rev. DL. Lindblom and B.J. Owen, 65, 063006 (2002).
13. L. Lindblom and S. Detweiler, Astrophys. J. 211, 565 (1977)
14. Astrophys. J.L. Lindblom and W. Hiscock, 267, 384 (1983).
15. T.W. Baumgarte, S.L. Shapiro, and M. Shibata, Astrophys. J. Lett. 528, L29 (2000).
16. N.D. Lyford, T.W. Baumgarte, and S.L. Shapiro, Astrophys. J. 583, 410 (2003).
17. F.A. Rasio and S.L. Shapiro, Astrophys. J. 401, 226 (1992)
18. Astrophys. J.F.A. RasioS.L. Shapiro432, 242 (1994)
19. F.A. RasioS.L. ShapiroClass. Quantum Grav. 16, R1 (1999).
20. M. Shibata and K. Uryū, Phys. Rev. D 61, 064001 (2000).
21. M. Shibata, K. Taniguchi, and K. Uryū, Phys. Rev. D 68, 084020 (2003).
22. S.L. Shapiro, Astrophys. J. 544, 397 (2000).
23. J.N. Cook, S.L. Shapiro, and B.C. Stephens, Astrophys. J. 599, 1272 (2003).
24. Y.T. Liu and S.L. Shapiro, Phys. Rev. D 69, 044009 (2004).
25. H.C. Spruit, Astron. Astrophys. 349, 189 (1999).
26. S.A. Balbus and J.F. Hawley, Rev. Mod. Phys. 70, 1 (1998).
27. A similar approach was suggested in 18 to simulate r-mode evolution and was successfully applied in 19.
28. L. Rezzolla, M. Shibata, H. Asuda, T.W. Baumgarte, and S.L. Shapiro, Astrophys. J. 525, 935 (1999).
29. L. Lindblom, J.E. Tohline, and M. Vallisneri, Phys. Rev. Lett. 86, 1152 (2001)
30. P. Gressman, L.M. Lin, W.M. Suen, N. Stergioulas, and J.L. Friedman, Phys. Rev. D 66, 041303 (2002).
31. M. Shibata, T.W. Baumgarte, and S.L. Shapiro, Phys. Rev. D 61, 044012 (2000).
32. M. Shibata, Astrophys. J. 595, 992 (2003).
33. M. Ruffert and H.-Th. Janka, Astron. Astrophys. 344, 573 (1999)
34. S. Rosswog, E. Ramirez-Ruiz, and M.B. Davies, astro-ph/0306418.
35. T.W. Baumgarte and S.L. Shapiro, Phys. Rev. D 59, 024007 (1999)
36. Phys. Rev. DM. Shibata and T. Nakamura, 52, 5428 (1995).
37. M.D. Duez, P. Marronetti, S.L. Shapiro, and T.W. Baumgarte, Phys. Rev. D 67, 024004 (2003).
38. M.D. Duez, S.L. Shapiro, and H.-J. Yo, Phys. Rev. D 69, 104016 (2004).
39. C.W. Misner, K.S. Thorne, and J.A. Wheeler, Gravitation (Freeman, New York, 1973), p. 566.
40. M. Alcubierre, S. Brandt, B. Brügmann, D. Holz, E. Seidel, R. Takahashi, and J. Thornburg, Int. J. Mod. Phys. D 10, 273 (2001).
41. M. Shibata, Prog. Theor. Phys. 104, 325 (2000).
42. N. Stergioulas and J.L. Friedman, Astrophys. J. 492, 301 (1998)
43. Astrophys. J.S. Morsink, N. Stergioulas, and S. Blattning, 510, 854 (1999)
44. S. Yoshida, L. Rezzolla, S. Karino, and Y. Eriguchi, Astrophys. J. Lett. 568, L41 (2002).
45. J.L. Friedman and B.F. Schutz, Astrophys. J. Lett. 199, L157 (1975)
46. Astrophys. J. Lett.J.L. FriedmanB.F. Schutz221, L99 (1978).
47. E. Flowers and N. Itoh, Astrophys. J. 230, 847 (1979).
48. C. Cutler and L. Lindblom, Astrophys. J. 314, 234 (1987).
49. J.M.C. Chen, J.W. Clark, R.D. Davé, and V.V. Khodel, Nucl. Phys. A555, 59 (1993).
50. M. Hoffberg, A.E. Glassgold, R.W. Richardson, and M. Ruderman, Phys. Rev. Lett. 24, 175 (1970).
51. E. Flowers and N. Itoh, Astrophys. J. 206, 218 (1976).
52. G. Mendell, Mon. Not. R. Astron. Soc. 296, 903 (1998).
53. M.A. Alpar, S.A. Langer, and J.A. Sauls, Astrophys. J. 282, 533 (1984).
54. S.L. Shapiro and S.A. Teukolsky, Black Holes, White Dwarfs, and Neutron Stars (Wiley, New York, 1983).
55. C.J. Pethick, Rev. Mod. Phys. 64, 1133 (1992).
56. R.H. Durisen, Astrophys. J. 183, 205 (1973)
57. Astrophys. J.R.H. Durisen183, 215 (1973)
58. Astrophys. J.R.H. Durisen195, 483 (1975).
59. L.D. Landau and E.M. Lifshitz, Fluid Mechanics (Butterworth-Heinemann, London, 1987).
60. T.W. Baumgarte and S.L. Shapiro, Astrophys. J. 504, 431 (1998).
61. M. Shibata, Phys. Rev. D 67, 024033 (2003).
62. H.O. Kreiss and J. Oliger, Methods for the Approximate Solution of Time Dependent Problems, GARP Publication Series No. 10 (World Meteorological Organization, Geneva, 1973)
63. A.M. Abrahams, G.B. Cook, S.L. Shapiro, and S.A. Teukolsky, Phys. Rev. D 49, 5153 (1994)
64. M.W. Choptuik, E.W. Hirschmann, S.L. Liebling, and F. Pretorius, Class. Quantum Grav. 20, 1857 (2003).
65. N.Ó. Murchadha and J.W. York, Jr., Phys. Rev. D 10, 2345 (1974)
66. Phys. Rev. DJ.M. Bowen and J.W. York, Jr., 21, 2047 (1980).
67. R.M. Wald, General Relativity (University of Chicago Press, Chicago, 1984), p. 297.
68. G.B. Cook, S.L. Shapiro, and S.A. Teukolsky, Astrophys. J. 398, 203 (1992).
69. H.J. Yo, T.W. Baumgarte, and S.L. Shapiro, Phys. Rev. D 64, 124011 (2001).
70. In paper I, star A was labeled “C” and star B was labeled “D.”
71. Y. Eriguchi and E. Müller, Astron. Astrophys. 146, 260 (1985).
72. J.L. Friedman, J.R. Ipser, and R.D. Sorkin, Astrophys. J. 325, 722 (1988).
73. M. Shibata, T.W. Baumgarte, and S.L. Shapiro, Astrophys. J. 542, 453 (2002).
74. M. Shibata, Phys. Rev. D 60, 104052 (1999).
75. M. Saijo, T.W. Baumgarte, and S.L. Shapiro, Astrophys. J. 595, 352 (2003).
76. L. Villain, J.A. Pons, P. Cerda-Duran, and E. Gourgoulhon, astro-ph/0310875.
77. What appears to be a drift in (Formula presented) due to numerical error becomes visible toward the end of the simulation. This makes the extrapolated value of (Formula presented) less reliable than the values of (Formula presented) and (Formula presented)
78. S.L. Shapiro and M. Shibata, Astrophys. J. 577, 904 (2002).
79. Disks can form from the collapse of uniformly rotating polytropes near the mass-shedding limit, provided (Formula presented) [see M. Shibata and S.L. Shapiro, Astrophys. J. 577, 904 (2002)].
80. R. Narayan, T. Piran, and P. Kumar, Astrophys. J. 557, 949 (2001).
81. T. Zwerger and E. Müller, Astron. Astrophys. 320, 209 (1997).
82. M. Rampp, E. Müller, and M. Ruffert, Astron. Astrophys. 332, 969 (1998).
83. Y.T. Liu and L. Lindblom, Mon. Not. R. Astron. Soc. 342, 1063 (2001).
84. Y.T. Liu, Phys. Rev. D 65, 124003 (2002).
85. A. MacFadyen and S.E. Woosley, Astrophys. J. 524, 262 (1999).
86. G.S. Bisnovatyi-Kogan, Ya.B. Zel’dovich, and I.D. Novikov, Sov. Astron. 11, 419 (1967)
87. T.W. Baumgarte and S.L. Shapiro, Astrophys. J. 526, 941 (1999)
88. Astrophys. J.K.C.B. New and S.L. Shapiro, 548, 439 (2001).
89. D. Mihalas and B. Weibel-Mihalas, Foundations of Radiation Hydrodynamics (Dover, Mineola, NY, 1999)
90. S.L. Shapiro, Astrophys. J. 472, 308 (1996).