Binary neutron stars: Equilibrium models beyond spatial conformal flatness

Abstract

Equilibria of binary neutron stars in close circular orbits are computed numerically in a waveless formulation: The full Einstein-relativistic-Euler system is solved on an initial hypersurface to obtain an asymptotically flat form of the 4-metric and an extrinsic curvature whose time derivative vanishes in a comoving frame. Two independent numerical codes are developed, and solution sequences that model inspiraling binary neutron stars during the final several orbits are successfully computed. The binding energy of the system near its final orbit deviates from earlier results of third post-Newtonian and of spatially conformally flat calculations. The new solutions may serve as initial data for merger simulations and as members of quasiequilibrium sequences to generate gravitational wave templates, and may improve estimates of the gravitational-wave cutoff frequency set by the last inspiral orbit.

4 pages, 6 figures, revised version, PRL in press

References in corpus (6)

• Merger of binary neutron stars with realistic equations of state in full general relativity
• Excision boundary conditions for black hole initial data
• A constrained scheme for Einstein equations based on Dirac gauge and spherical coordinates
• Deriving formulations for numerical computation of binary neutron stars in quasicircular orbits
• Impact of the nuclear equation of state on the last orbits of binary neutron stars
• Last orbits of binary strange quark stars

Cited by in corpus (36)

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• Improved resummation of post-Newtonian multipolar waveforms from circularized compact binaries
• Binary Neutron Star Mergers
• Spectral Methods for Numerical Relativity
• Effective action approach to higher-order relativistic tidal interactions in binary systems and their effective one body description
• Gravitational waves from spinning black hole-neutron star binaries: dependence on black hole spins and on neutron star equations of state
• Merger of black hole-neutron star binaries in full general relativity
• Mergers of binary neutron stars with realistic spin
• Accurate and realistic initial data for black hole-neutron star binaries
• Constructing quasi-equilibrium initial data for binary neutron stars with arbitrary spins
• Coalescence of black hole--neutron star binaries
• Mathematical Issues in a Fully-Constrained Formulation of Einstein Equations
• Initial data for binary neutron stars with arbitrary spins
• Conformal Thin-Sandwich Solver for Generic Initial Data
• Non-conformally flat initial data for binary compact objects
• A new code for equilibriums and quasiequilibrium initial data of compact objects
• Initial data for binary neutron stars with adjustable eccentricity
• Construction of initial data for 3+1 numerical relativity
• Multi-Domain Spectral Method for Initial Data of Arbitrary Binaries in General Relativity
• The initial value problem as it relates to numerical relativity
• Equilibrium solutions of relativistic rotating stars with mixed poloidal and toroidal magnetic fields
• New code for equilibriums and quasiequilibrium initial data of compact objects. IV. Rotating relativistic stars with mixed poloidal and toroidal magnetic fields
• Initial data for neutron star binaries with arbitrary spins
• Binary Neutron Stars in Quasi-equilibrium
• Quasi-equilibrium models for triaxially deformed rotating compact stars
• Thermodynamics of magnetized binary compact objects
• Excised black hole spacetimes: quasi-local horizon formalism applied to the Kerr example
• Excision boundary conditions for the conformal metric
• Complete initial value spacetimes containing black holes in general relativity: Application to black hole-disk systems
• Fourth-post-Newtonian-exact approximation to General Relativity
• Methods for relativistic self-gravitating fluids: From binary neutron stars to black hole-disks and magnetized rotating neutron stars
• Review of Conformally Flat Approximation for Binary Neutron Star Initial Conditions
• Quasi-equilibrium models of magnetized compact objects
• The Parallel Compact Object CALculator: An Efficient General Relativistic Initial Data Solver for Compact Objects
• New numerical framework for the generalized Baumgarte-Shapiro-Shibata-Nakamura formulation: The vacuum case for spherical symmetry