Black hole-neutron star binaries in general relativity: Quasiequilibrium formulation

摘要: We present a new numerical method for the construction of quasiequilibrium models black hole-neutron star binaries. solve constraint equations general relativity, decomposed in conformal thin-sandwich formalism, together with Euler equation neutron matter. take system to be stationary corotating frame and thereby assume presence helical Killing vector. these coupled background metric Kerr-Schild hole, which accounts star's hole companion. In this paper we adopt polytropic state matter large hole-to-neutron mass ratios. These simplifications allow us focus on strong-field, companions. summarize results several code tests, compare Newtonian models, locate onset tidal disruption fully relativistic framework.