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

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dc.creatorFoucart, Francois
dc.creatorKidder, Lawrence E.
dc.creatorPfeiffer, Harald P.
dc.creatorTeukolsky, Saul A.
dc.date2008-04-23
dc.date2008-06-30
dc.date.accessioned2026-07-07T11:33:41Z
dc.date.available2026-07-07T11:33:41Z
dc.descriptionWe 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. The possibility of generating a wide variety of initial data is also demonstrated through two new configurations inspired by results from binary black holes. First, we show that choosing a modified Kerr-Schild conformal metric instead of a flat conformal metric allows for the construction of quasi-equilibrium binaries with a spinning black hole. Second, we construct binaries in low-eccentricity orbits, which are a better approximation to astrophysical binaries than quasi-equilibrium systems.
dc.description19 pages, 11 figures, Modified to match final PRD version
dc.identifierhttps://arxiv.org/abs/0804.3787
dc.identifierhttp://arxiv.org/abs/0804.3787
dc.identifierPhys.Rev.D77:124051,2008
dc.identifierdoi:10.1103/PhysRevD.77.124051
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/197978
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.titleInitial data for black hole-neutron star binaries: a flexible, high-accuracy spectral method
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