- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review D

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Saturation of the f-mode instability in neutron stars. II. Applications and results

Pantelis Pnigouras and Kostas D. Kokkotas

  • Theoretical Astrophysics, IAAT, Eberhard-Karls University of Tübingen, 72076 Tübingen, Germany

PDF

Phys. Rev. D 94, 024053 – Published 28 July, 2016

DOI: https://doi.org/10.1103/PhysRevD.94.024053

Abstract

We present the first results on the saturation of the f-mode instability in neutron stars due to nonlinear mode coupling. Emission of gravitational waves drives the f-mode (fundamental mode) unstable in fast-rotating, newborn neutron stars. The initial growth phase of the mode is followed by its saturation, because of energy leaking to other modes of the star. The saturation point determines the strain of the generated gravitational-wave signal, which can then be used to extract information about the neutron star’s equation of state. The parent (unstable) mode couples via parametric resonances with pairs of daughter modes, with the triplets’ evolution exhibiting a rich variety of behaviors. We study both supernova- and merger-derived neutron stars, simply modeled as polytropes in a Newtonian context, and show that the parent may couple to many different daughter pairs during the star’s evolution through the instability window, with the saturation amplitude changing by orders of magnitude.

View figure in article

Physics Subject Headings (PhySH)

See Also

Saturation of the f-mode instability in neutron stars: Theoretical framework

Pantelis Pnigouras and Kostas D. Kokkotas
Phys. Rev. D 92, 084018 (2015)

Article Text

References (72)

  1. S. Chandrasekhar, Phys. Rev. Lett. 24, 611 (1970).
  2. J. L. Friedman and B. F. Schutz, Astrophys. J. 221, 937 (1978); 222, 281 (1978).
  3. J. R. Ipser and L. Lindblom, Astrophys. J. 355, 226 (1990); 373, 213 (1991).
  4. B. P. Abbott et al., Phys. Rev. Lett. 116, 061102 (2016).
  5. N. Andersson and K. D. Kokkotas, Phys. Rev. Lett. 77, 4134 (1996).
  6. N. Andersson and K. D. Kokkotas, Mon. Not. R. Astron. Soc. 299, 1059 (1998).
  7. K. D. Kokkotas, T. A. Apostolatos, and N. Andersson, Mon. Not. R. Astron. Soc. 320, 307 (2001).
  8. O. Benhar, V. Ferrari, and L. Gualtieri, Phys. Rev. D 70, 124015 (2004).
  9. E. Gaertig and K. D. Kokkotas, Phys. Rev. D 83, 064031 (2011).
  10. D. D. Doneva, E. Gaertig, K. D. Kokkotas, and C. Krüger, Phys. Rev. D 88, 044052 (2013).
  11. D. D. Doneva and K. D. Kokkotas, Phys. Rev. D 92, 124004 (2015).
  12. J. Papaloizou and J. E. Pringle, Mon. Not. R. Astron. Soc. 182, 423 (1978).
  13. A. K. Schenk, P. Arras, É. É. Flanagan, S. A. Teukolsky, and I. Wasserman, Phys. Rev. D 65, 024001 (2001).
  14. S. M. Morsink, Astrophys. J. 571, 435 (2002).
  15. P. Arras, É. É. Flanagan, S. M. Morsink, A. K. Schenk, S. A. Teukolsky, and I. Wasserman, Astrophys. J. 591, 1129 (2003).
  16. J. Brink, S. A. Teukolsky, and I. Wasserman, Phys. Rev. D 70, 121501 (2004); 70, 124017 (2004); 71, 064029 (2005).
  17. M. G. Alford, S. Mahmoodifar, and K. Schwenzer, Phys. Rev. D 85, 044051 (2012).
  18. A. Passamonti and K. Glampedakis, Mon. Not. R. Astron. Soc. 422, 3327 (2012).
  19. B. Haskell, K. Glampedakis, and N. Andersson, Mon. Not. R. Astron. Soc. 441, 1662 (2014).
  20. A. Passamonti, E. Gaertig, K. D. Kokkotas, and D. Doneva, Phys. Rev. D 87, 084010 (2013).
  21. D. D. Doneva, K. D. Kokkotas, and P. Pnigouras, Phys. Rev. D 92, 104040 (2015).
  22. W. Kastaun, B. Willburger, and K. D. Kokkotas, Phys. Rev. D 82, 104036 (2010).
  23. W. Kastaun, Phys. Rev. D 84, 124036 (2011).
  24. P. Pnigouras and K. D. Kokkotas, Phys. Rev. D 92, 084018 (2015).
  25. W. Unno, Y. Osaki, H. Ando, H. Saio, and H. Shibahashi, Nonradial Oscillations of Stars, 2nd ed. (University of Tokyo Press, Tokyo, 1989).
  26. C. Aerts, J. Christensen-Dalsgaard, and D. W. Kurtz, Asteroseismology, Astronomy and Astrophysics Library (Springer, New York, 2010).
  27. W. Dziembowski, Acta Astronomica 32, 147 (1982).
  28. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical recipes in FORTRAN 77, 2nd ed. (Cambridge University Press, Cambridge, England, 1992), Vol. 1; W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. FlanneryNumerical recipes in FORTRAN 90, 2nd ed. (Cambridge University Press, Cambridge, England, 1996), Vol. 2.
  29. H. Saio, Astrophys. J. 244, 299 (1981).
  30. J. Ballot, F. Lignières, D. R. Reese, and M. Rieutord, Astron. Astrophys. 518, A30 (2010).
  31. B. Dintrans and M. Rieutord, Astron. Astrophys. 354, 86 (2000).
  32. F. Lignières, M. Rieutord, and D. Reese, Astron. Astrophys. 455, 607 (2006).
  33. D. Reese, F. Lignières, and M. Rieutord, Astron. Astrophys. 455, 621 (2006).
  34. L. Lindblom and J. R. Ipser, Phys. Rev. D 59, 044009 (1999).
  35. K. H. Lockitch and J. L. Friedman, Astrophys. J. 521, 764 (1999).
  36. S. Yoshida and U. Lee, Astrophys. J. Suppl. Ser. 129, 353 (2000).
  37. A. Passamonti, J. Phys. Conf. Ser. 189, 012030 (2009).
  38. A. Passamonti, B. Haskell, N. Andersson, D. I. Jones, and I. Hawke, Mon. Not. R. Astron. Soc. 394, 730 (2009).
  39. E. Gaertig and K. D. Kokkotas, Phys. Rev. D 80, 064026 (2009).
  40. D. Lai, Mon. Not. R. Astron. Soc. 307, 1001 (1999).
  41. A. Burrows and J. M. Lattimer, Astrophys. J. 307, 178 (1986).
  42. A. Burrows, Annu. Rev. Nucl. Part. Sci. 40, 181 (1990).
  43. M. Prakash, J. M. Lattimer, J. A. Pons, A. W. Steiner, and S. Reddy, in Physics of Neutron Star Interiors, Lecture Notes in Physics, Vol. 578, edited by D. Blaschke, N. K. Glendenning, and A. Sedrakian (Springer-Verlag, Berlin, 2001) p. 364.
  44. E. Gaertig, K. Glampedakis, K. D. Kokkotas, and B. Zink, Phys. Rev. Lett. 107, 101102 (2011).
  45. A. Heger, N. Langer, and S. E. Woosley, Astrophys. J. 528, 368 (2000).
  46. C. D. Ott, A. Burrows, T. A. Thompson, E. Livne, and R. Walder, Astrophys. J. Suppl. Ser. 164, 130 (2006).
  47. B. J. Owen, L. Lindblom, C. Cutler, B. F. Schutz, A. Vecchio, and N. Andersson, Phys. Rev. D 58, 084020 (1998).
  48. R. Bondarescu, S. A. Teukolsky, and I. Wasserman, Phys. Rev. D 76, 064019 (2007); 79, 104003 (2009).
  49. N. Andersson, D. I. Jones, and K. D. Kokkotas, Mon. Not. R. Astron. Soc. 337, 1224 (2002).
  50. G. B. Cook, S. L. Shapiro, and S. A. Teukolsky, Astrophys. J. 398, 203 (1992); 424, 823 (1994).
  51. K. Hotokezaka, K. Kiuchi, K. Kyutoku, T. Muranushi, Y.-i. Sekiguchi, M. Shibata, and K. Taniguchi, Phys. Rev. D 88, 044026 (2013).
  52. W. Kastaun and F. Galeazzi, Phys. Rev. D 91, 064027 (2015).
  53. Z. G. Dai and T. Lu, Astron. Astrophys. 333, L87 (1998).
  54. B. Zhang and P. Mészáros, Astrophys. J. 552, L35 (2001).
  55. A. Rowlinson, P. T. O’Brien, B. D. Metzger, N. R. Tanvir, and A. J. Levan, Mon. Not. R. Astron. Soc. 430, 1061 (2013).
  56. R. Ciolfi and D. M. Siegel, Astrophys. J. 798, L36 (2015).
  57. L. Rezzolla and P. Kumar, Astrophys. J. 802, 95 (2015).
  58. V. Ravi and P. D. Lasky, Mon. Not. R. Astron. Soc. 441, 2433 (2014).
  59. A. Stavropoulos (private communication).
  60. B. Zink, O. Korobkin, E. Schnetter, and N. Stergioulas, Phys. Rev. D 81, 084055 (2010).
  61. D. Lai, F. A. Rasio, and S. L. Shapiro, Astrophys. J. Suppl. Ser. 88, 205 (1993).
  62. J.-M. Wersinger, J. M. Finn, and E. Ott, Phys. Rev. Lett. 44, 453 (1980); Phys. Fluids 23, 1142 (1980).
  63. Y. S. Dimant, Phys. Rev. Lett. 84, 622 (2000).
  64. P. Moskalik, Acta Astronomica 35, 229 (1985).
  65. T. Aikawa, Mon. Not. R. Astron. Soc. 206, 833 (1984).
  66. W. Dziembowski and G. Kovács, Mon. Not. R. Astron. Soc. 206, 497 (1984).
  67. N. Andersson, Astrophys. J. 502, 708 (1998).
  68. J. L. Friedman and S. M. Morsink, Astrophys. J. 502, 714 (1998).
  69. L. Lindblom, B. J. Owen, and S. M. Morsink, Phys. Rev. Lett. 80, 4843 (1998).
  70. N. Andersson, K. Kokkotas, and B. F. Schutz, Astrophys. J. 510, 846 (1999).
  71. N. Andersson, K. D. Kokkotas, and N. Stergioulas, Astrophys. J. 516, 307 (1999).
  72. N. Andersson, D. I. Jones, K. D. Kokkotas, and N. Stergioulas, Astrophys. J. 534, L75 (2000).

Outline

Information

Phys. Rev. D 94, 024053– Published 28 July, 2016
  • Received 30 March 2016

© 2016 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation