Axisymmetric core collapse simulations using characteristic numerical relativity

Abstract

We present results from axisymmetric stellar core collapse simulations in general relativity. Our hydrodynamics code has proved robust and accurate enough to allow for a detailed analysis of the global dynamics of the collapse. Contrary to traditional approaches based on the 3+1 formulation of the gravitational field equations, our framework uses a foliation based on a family of outgoing light cones, emanating from a regular center, and terminating at future null infinity. Such a coordinate system is well adapted to the study of interesting dynamical spacetimes in relativistic astrophysics such as stellar core collapse and neutron star formation. Perhaps most importantly this procedure allows for the unambiguous extraction of gravitational waves at future null infinity without any approximation, along with the commonly used quadrupole formalism for the gravitational wave extraction. Our results concerning the gravitational wave signals show noticeable disagreement when those are extracted by computing the Bondi news at future null infinity on the one hand and by using the quadrupole formula on the other hand. We have strong indication that for our setup the quadrupole formula on the null cone does not lead to physical gravitational wave signals. The Bondi gravitational wave signals extracted at infinity show typical oscillation frequencies of about 0.5 kHz.

17 pages, 18 figures, submitted to Phys. Rev. D

References in corpus (18)

• Relativistic simulations of rotational core collapse. II. Collapse dynamics and gravitational radiation
• Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries
• Three-dimensional general relativistic hydrodynamics II: long-term dynamics of single relativistic stars
• Relativistic simulations of rotational core collapse. I. Methods, initial models, and code tests
• High-powered Gravitational News
• Axisymmetric general relativistic hydrodynamics: Long-term evolution of neutron stars and stellar collapse to neutron stars and black holes
• Stable characteristic evolution of generic 3-dimensional single-black-hole spacetimes
• Numerical hydrodynamics in special relativity
• Gravitational waves from relativistic rotational core collapse
• Relativistic hydrodynamics on spacelike and null surfaces: Formalism and computations of spherically symmetric spacetimes
• Numerical hydrodynamics in general relativity
• Null cone evolution of axisymmetric vacuum spacetimes
• Simulating the dynamics of relativistic stars via a light-cone approach
• Simulations of non-axisymmetric rotational core collapse
• Scalar field induced oscillations of neutron stars and gravitational collapse
• Matter flows around black holes and gravitational radiation
• Gravitational waveforms with controlled accuracy
• Characteristic Evolution and Matching

Cited by in corpus (34)

• Rotating Stars in Relativity
• Rotating Stars in Relativity
• A simple parameterization of the consequences of deleptonization for simulations of stellar core collapse
• Extraction of Gravitational Waves in Numerical Relativity
• Three-dimensional simulations of stellar core collapse in full general relativity: Nonaxisymmetric dynamical instabilities
• "Mariage des Maillages": A new numerical approach for 3D relativistic core collapse simulations
• Gravitational waves from axisymmetric rotating stellar core collapse to a neutron star in full general relativity
• Gravitational Wave Extraction in Simulations of Rotating Stellar Core Collapse
• Characteristic Evolution and Matching
• A Characteristic Extraction Tool for Gravitational Waveforms
• Collapse of Rotating Supramassive Neutron Stars to Black Holes: Fully General Relativistic Simulations
• Gravitational waves from axisymmetrically oscillating neutron stars in general relativistic simulations
• Gravitational Waves from Phase-Transition Induced Collapse of Neutron Stars
• Characteristic Evolution and Matching
• CFC+: Improved dynamics and gravitational waveforms from relativistic core collapse simulations
• Axisymmetric collapse simulations of rotating massive stellar cores in full general relativity: Numerical study for prompt black hole formation
• Linearized solutions of the Einstein equations within a Bondi-Sachs framework, and implications for boundary conditions in numerical simulations
• Numerical relativity with characteristic evolution, using six angular patches
• Spherical excision for moving black holes and summation by parts for axisymmetric systems
• Numerical validation of the Kerr metric in Bondi-Sachs form
• On characteristic initial data for a star orbiting a black hole
• Fully relativistic three-dimensional Cauchy-characteristic matching for physical degrees of freedom
• First-order quasilinear canonical representation of the characteristic formulation of the Einstein equations
• Central equation of state in spherical characteristic evolutions
• Gauge structure of the Einstein field equations in Bondi-like coordinates
• Dynamical bar instability in a relativistic rotational core collapse
• Characteristic Formulation for Metric $f(R)$ Gravity
• Simulations of gravitational collapse in null coordinates: II. Critical collapse of an axisymmetric scalar field
• Numerical convergence of model Cauchy-characteristic extraction and matching
• Bondian frames to couple matter with radiation
• Simulations of gravitational collapse in null coordinates: III. Hyperbolicity
• Editorial Note to: On the Newtonian Limit of Einstein's Theory of Gravitation (by Jürgen Ehlers)
• Master equation solutions in the linear regime of characteristic formulation of general relativity
• Gravitational radiation by point particle eccentric binary systems in the linearised characteristic formulation of general relativity