Gravitational radiation from coalescing binary neutron stars

Xing Zhuge; Joan M. Centrella; Stephen L. W. McMillan

doi:10.1103/PhysRevD.50.6247

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Gravitational radiation from coalescing binary neutron stars

Xing Zhuge, Joan M. Centrella, and Stephen L. W. McMillan

Department of Physics and Atmospheric Science, Drexel University, Philadelphia, Pennsylvania 19104

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Phys. Rev. D 50, 6247 – Published 15 November, 1994

DOI: https://doi.org/10.1103/PhysRevD.50.6247

Abstract

We calculate the gravitational radiation produced by the merger and coalescence of inspiraling binary neutron stars using three-dimensional numerical simulations. The stars are modeled as polytropes and start out in the point-mass limit at wide separation. The hydrodynamic integration is performed using smooth particle hydrodynamics (SPH) with Newtonian gravity, and the gravitational radiation is calculated using the quadrupole approximation. We have run several simulations, varying both the neutron star radius and the equation of state. The resulting gravitational wave energy spectra dE/df are rich in information about the hydrodynamics of merger and coalescence. In particular, our results demonstrate that detailed information on both GM/ ${Rc}^{2}$ and the equation of state can in principle be extracted from the spectrum.

References (33)

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[c1] A. Abramovici et al., Science 256, 325 (1992).

[c2] K. Thorne, in Recent Advances in General Relativity, edited by A. Janis and J. Porter (Birkhäuser, Boston, 1992).

[c3] R. Narayan, T. Piran and A. Shemi, Astrophys. J. 379, L17 (1991); E. S. Phinney, ibid. 380, L17 (1991); L. S. Finn and D. Chernoff, Phys. Rev. D 47, 2198 (1993).

[c4] This subject has been developed by many authors; for a recent review see C. Will, in Proceedings of the Eighth Nishinomiya Yukawa Symposium on Relativistic Cosmology, edited by M. Sasaki (Universal Academy Press, Tokyo, in press).

[c5] C. Cutler et al., Phys. Rev. Lett. 70, 2984 (1993).

[c6] C. Cutler and E. Flanagan, Phys. Rev. D 49, 2658 (1994).

[c7] B. Meers, Phys. Rev. D 38, 2317 (1988); K. Strain and B. Meers, Phys. Rev. Lett. 66, 1391 (1991); A. Krolak, J. Lobo and B. Meers, Phys. Rev. D 43, 2470 (1991); ibid. 47, 2184 (1993).

[c8] W. Johnson and S. Merkowitz, Phys. Rev. Lett. 70, 2367 (1993); W. Hamilton (private communication); H. Paik (private communication).

[c9] D. Kennefick, D. Laurence, and K. Thorne (unpublished).

[c10] L. Lindblom, Astrophys. J. 398, 569 (1992).

[c11] M. Shibata, T. Nakamura and K. Oohara, Prog. Theor. Phys. 88, 1079 (1992).

[c12] See also K. Oohara and T. Nakamura, Prog. Theor. Phys. 82, 535 (1989); ibid. 83, 906 (1990); T. Nakamura and K. Oohara, ibid. 82, 1066 (1989); ibid. 86, 73 (1991).

[c13] F. Rasio and S. Shapiro, Astrophys. J. 401, 226 (1992).

[c14] F. Rasio and S. Shapiro, Astrophys. J. 432, 242 (1994).

[c15] M. Davies, W. Benz, T. Piran and F. Thielemann, Astrophys. J. 431, 742 (1994).

[c16] J. Zahn, Astron. Astrophys. 57, 383 (1977).

[c17] C. Kochanek, Astrophys. J. 398, 234 (1992); L. Bildsten and C. Cutler, ibid. 400, 175 (1992).

[c18] D. Lai, F. Rasio and S. Shapiro, Astrophys. J. 420, 811 (1994).

[c19] D. Lai, F. Rasio and S. Shapiro, Astrophys. J. 403, L63 (1993); Astrophys. J. Suppl. 88, 205 (1993).

[c20] L. Kidder, C. Will and A. Wiseman, Phys. Rev. D 47, 3281 (1993).

[c21] L. Lucy, Astron. J. 82, 1013 (1977); R. Gingold and J. Monaghan, Mon. Not. R. Astron. Soc. 181, 375 (1977); see J. Monaghan, Annu. Rev. Astron. Astrophys. 30, 543 (1992) for a review.

[c22] L. Hernquist and N. Katz, Astrophys. J. Suppl. 70, 419 (1989).

[c23] J. Barnes and P. Hut, Nature (London) 324, 446 (1986); L. Hernquist, Astrophys. J. Suppl. 64, 715 (1987).

[c24] J. Centrella and S. McMillan, Astrophys. J. 416, 719 (1993).

[c25] J. Houser, J. Centrella and S. Smith, Phys. Rev. Lett. 72, 1314 (1994); J. Houser, S. Smith, and J. Centrella (unpublished).

[c26] C. Misner, K. Thorne, and J. Wheeler, Gravitation (Freeman, New York, 1973).

[c27] C. Kochanek, S. Shapiro, S. Teukolsky and D. Chernoff, Astrophys. J. 358, 81 (1990).

[c28] K. Thorne, in 300 Years of Gravitation, edited by S. Hawking and W. Israel (Cambridge University Press, New York, 1987).

[c29] L. S. Finn and C. Evans, Astrophys. J. 351, 588 (1990).

[c30] S. Shapiro and S. Teukolsky, Black Holes, White Dwarfs, and Neutron Stars (Wiley, New York, 1983).

[c31] D. Gilden and S. Shapiro, Astrophys. J. 287, 728 (1984).

[c32] K. Thorne (private communication).

[c33] J. Cox, Theory of Stellar Pulsation (Princeton University Press, Princeton, 1980).

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