2008

Initial data for black hole-neutron star binaries: a flexible, high-accuracy spectral method

Foucart, Francois, Kidder, Lawrence E., Pfeiffer, Harald P. et al.

Understand

We present a new numerical scheme to solve the initial value problem for black hole-neutron star binaries.

This method takes advantage of the flexibility and fast convergence of a multidomain spectral representation of the initial data to construct high-accuracy solutions at a relatively low computational cost.
We provide convergence tests of the method for both isolated neutron stars and irrotational binaries.
In the second case, we show that we can resolve the small inconsistencies that are part of the quasi-equilibrium formulation, and that these inconsistencies are significantly smaller than observed in previous works.

Built on

P. C. Peters, Phys. Rev. 136
1964
Earlier work this paper cites.
J. W. York, in Sources of Gravitational Radiation , edited by L. L. Smarr (Cambridge University Press, Cambridge, England, 1979), p. 83
1979
Earlier work this paper cites.
S. A. Teukolsky, Astrophys. J. 504
1998
Earlier work this paper cites.
M. Shibata, Phys. Rev. D 58
1998
Earlier work this paper cites.
T. W. Baumgarte, G. B. Cook, M. A. Scheel, S. L. Shapiro, and S. A. Teukolsky, Phys. Rev. D 57
1998
Earlier work this paper cites.
J. W. York Jr., Phys. Rev. Lett. 82
1999
Earlier work this paper cites.
M. Shibata and K. Uryu, Phys. Rev. D 61
2000
Earlier work this paper cites.
E. Gourgoulhon, P. Grandclement, K. Taniguchi, J.-A. Marck, and S. Bonazzola, Phys. Rev. D 63
2001
Earlier work this paper cites.
H. P. Pfeiffer, G. B. Cook, and S. A. Teukolsky, Phys. Rev. D 66
2002
Earlier work this paper cites.
L. Blanchet, Phys. Rev. D 65
2002
Earlier work this paper cites.
M. D. Duez, P. Marronetti, S. L. Shapiro, and T. W. Baumgarte, Phys. Rev. D 67
2003
Earlier work this paper cites.
H. P. Pfeiffer, L. E. Kidder, M. A. Scheel, and S. A. Teukolsky, Comput. Phys. Commun. 152
2003
Earlier work this paper cites.
H. P. Pfeiffer, Ph.D. thesis, Cornell University (2003), arXiv:gr-qc/0510016v1
2003
Earlier work this paper cites.
H. P. Pfeiffer and J. W. York, Phys. Rev. D 67
2003
Earlier work this paper cites.

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