Conformally Flat Smoothed Particle Hydrodynamics: Application to Neutron Star Mergers

Abstract

We present a new 3D SPH code which solves the general relativistic field + hydrodynamics equations in the conformally flat approximation. Several test cases are considered to test different aspects of the code. We finally apply then the code to the coalescence of a neutron star binary system. The neutron stars are modeled by a polytropic equation of state (EoS) with adiabatic indices $\Gamma =2.0$, $\Gamma =2.6$ and $\Gamma =3.0$. We calculate the gravitational wave signals, luminosities and frequency spectra by employing the quadrupole approximation for emission and back reaction in the slow motion limit. In addition, we consider the amount of ejected mass.

23 pages, 12 figures. Accepted for publication in Phys. Rev. D. v3: Final Version

References in corpus (4)

• Computation of gravitational waves from inspiraling binary neutron stars in quasiequilibrium circular orbits : Formulation and calibration
• Comparing the inspiral of irrotational and corotational binary neutron stars
• Nucleosynthesis Calculations for the Ejecta of Neutron Star Coalescences
• Post-Newtonian Expansion of Gravitational Radiation

Cited by in corpus (83)

• Origin of the Heaviest Elements: the Rapid Neutron-Capture Process
• Comprehensive nucleosynthesis analysis for ejecta of compact binary mergers
• Binary neutron-star mergers: a review of Einstein's richest laboratory
• Identifying a first-order phase transition in neutron star mergers through gravitational waves
• Accurate evolutions of inspiralling neutron-star binaries: prompt and delayed collapse to black hole
• Neutron star mergers versus core-collapse supernovae as dominant r-process sites in the early Galaxy
• Neutron Star Mergers and Nucleosynthesis of Heavy Elements
• Neutrino signatures and the neutrino-driven wind in Binary Neutron Star Mergers
• Prompt merger collapse and the maximum mass of neutron stars
• High Resolution Calculations of Merging Neutron Stars II: Neutrino Emission
• Binary Neutron Star Mergers
• Relativistic neutron star merger simulations with non-zero temperature equations of state I. Variation of binary parameters and equation of state
• Equation-of-state dependence of the gravitational-wave signal from the ring-down phase of neutron-star mergers
• Testing Approximations of Thermal Effects in Neutron Star Merger Simulations
• Numerical Relativity and Compact Binaries
• Rotating Stars in Relativity
• Gravitational waves and nonaxisymmetric oscillation modes in mergers of compact object binaries
• Low mass binary neutron star mergers : gravitational waves and neutrino emission
• Properties of hypermassive neutron stars formed in mergers of spinning binaries
• Merger of binary neutron stars of unequal mass in full general relativity
• Exploring properties of high-density matter through remnants of neutron-star mergers
• Astrophysical Smooth Particle Hydrodynamics
• On the nuclear robustness of the r process in neutron-star mergers
• Observing Gravitational Waves From The Post-Merger Phase Of Binary Neutron Star Coalescence
• Massive double compact object mergers: gravitational wave sources and r-process-element production sites
• Revealing the high-density equation of state through binary neutron star mergers
• The electromagnetic counterparts of compact binary mergers
• Improved constrained scheme for the Einstein equations: An approach to the uniqueness issue
• Extraction of Gravitational Waves in Numerical Relativity
• How Gravitational-wave Observations Can Shape the Gamma-ray Burst Paradigm
• Equation of state constraints from the threshold binary mass for prompt collapse of neutron star mergers
• Gravitational waves from relativistic neutron star mergers with nonzero-temperature equations of state
• Neutron-star merger ejecta as obstacles to neutrino-powered jets of gamma-ray bursts
• Non-linear axisymmetric pulsations of rotating relativistic stars in the conformal flatness approximation
• Effect of Differential Rotation on the Maximum Mass of Neutron Stars: Realistic Nuclear Equations of State
• Constraining the onset density of the hadron-quark phase transition with gravitational-wave observations
• Torus Formation in Neutron Star Mergers and Well-Localized Short Gamma-Ray Bursts
• Observing the post-merger signal of GW170817-like events with improved gravitational-wave detectors
• Prospects For High Frequency Burst Searches Following Binary Neutron Star Coalescence With Advanced Gravitational Wave Detectors
• Numerical relativity confronts compact neutron star binaries: a review and status report
• The Dynamical Evolution of Black Hole-Neutron Star Binaries in General Relativity: Simulations of Tidal Disruption
• Improved Leakage-Equilibration-Absorption Scheme (ILEAS) for Neutrino Physics in Compact Object Mergers
• Gravitational wave spectroscopy of binary neutron star merger remnants with mode stacking
• Measuring Neutron Star Radii with Gravitational Wave Detectors
• Numerical Relativity of Compact Binaries in the 21st Century
• Systematics of prompt black-hole formation in neutron star mergers
• Nuclear astrophysics: the unfinished quest for the origin of the elements
• Empirical relations for gravitational-wave asteroseismology of binary neutron star mergers
• The Influence of Quark Matter at High Densities on Binary Neutron Star Mergers
• Simulating Neutron Star Mergers as r-process Sources in Ultra Faint Dwarf Galaxies
• Spectral classification of gravitational-wave emission and equation of state constraints in binary neutron star mergers
• Numerical-relativity simulations of long-lived remnants of binary neutron star mergers
• Self-consistent 3D radiative transfer for kilonovae: directional spectra from merger simulations
• Frequency deviations in universal relations of isolated neutron stars and postmerger remnants
• Convective Excitation of Inertial Modes in Binary Neutron Star Mergers
• Compact Dark Objects in Neutron Star Mergers
• Analytic models of the spectral properties of gravitational waves from neutron star merger remnants
• 3D radiative transfer kilonova modelling for binary neutron star merger simulations
• Mergers of Irrotational Neutron Star Binaries in Conformally Flat Gravity
• Multimessenger Binary Mergers Containing Neutron Stars: Gravitational Waves, Jets, and $\mathbf{\gamma }$-Ray Bursts
• General relativistic smoothed particle hydrodynamics
• Impact of pions on binary neutron star mergers
• Exploring thermal effects of the hadron-quark matter transition in neutron star mergers
• Inference of the neutron star equation of state from cosmological distances
• Thermal behavior as indicator for hyperons in binary neutron star merger remnants
• SPHINCS_BSSN: A general relativistic Smooth Particle Hydrodynamics code for dynamical spacetimes
• Gmunu: Toward multigrid based Einstein field equations solver for general-relativistic hydrodynamics simulations
• Gravitational waves in dynamical spacetimes with matter content in the Fully Constrained Formulation
• Observing cosmological binary mergers with next generation neutrino and gravitational wave detectors
• Needle in a Bayes Stack: a Hierarchical Bayesian Method for Constraining the Neutron Star Equation of State with an Ensemble of Binary Neutron Star Post-merger Remnants
• On the Impact of Neutron Star Binaries Natal-Kick Distribution on the Galactic r-process Enrichment
• Simulating neutron star mergers with the Lagrangian Numerical Relativity code SPHINCS_BSSN
• Nonlinear dynamics of oscillating neutron stars in scalar-tensor gravity
• General Relativistic Hydrodynamics on a Moving-mesh I: Static Spacetimes
• Effects of Onset of Phase Transition on Binary Neutron Star Mergers
• Non-axisymmetric oscillations of rapidly rotating relativistic stars by conformal flatness approximation
• Prospects for the inference of inertial modes from hypermassive neutron stars with future gravitational-wave detectors
• Universality in the run-up of shock waves to the surface of a star
• High angular momentum hot differentially rotating equilibrium star evolutions in conformally flat spacetime
• The impact of hyperons on neutron star mergers: gravitational waves, mass ejection and black hole formation
• Quark Matter in Neutron Star Mergers
• A general relativistic extension to mesh-free methods for hydrodynamics
• Gravitational-wave model for neutron star merger remnants with supervised learning