Accurate simulations of the dynamical bar-mode instability in full General Relativity

Abstract

We present accurate simulations of the dynamical bar-mode instability in full General Relativity focussing on two aspects which have not been investigated in detail in the past. Namely, on the persistence of the bar deformation once the instability has reached its saturation and on the precise determination of the threshold for the onset of the instability in terms of the parameter $\beta =T/|W|$. We find that generic nonlinear mode-coupling effects appear during the development of the instability and these can severely limit the persistence of the bar deformation and eventually suppress the instability. In addition, we observe the dynamics of the instability to be strongly influenced by the value $\beta$ and on its separation from the critical value ${\beta }_c$ marking the onset of the instability. We discuss the impact these results have on the detection of gravitational waves from this process and provide evidence that the classical perturbative analysis of the bar-mode instability for Newtonian and incompressible Maclaurin spheroids remains qualitatively valid and accurate also in full General Relativity.

RevTeX4, 23 pages, 19 figures. Version in print

References in corpus (33)

• Comparing Models of Rapidly Rotating Relativistic Stars Constructed by Two Numerical Methods
• Black Holes
• New Formalism for Numerical Relativity
• Three-dimensional relativistic simulations of rotating neutron-star collapse to a Kerr black hole
• Multi-Dimensional Simulations of the Accretion-Induced Collapse of White Dwarfs to Neutron Stars
• Three-dimensional general relativistic hydrodynamics II: long-term dynamics of single relativistic stars
• The bar-mode instability in differentially rotating neutron stars: Simulations in full general relativity
• Dynamical instability of differentially rotating stars
• Black Hole Excision for Dynamic Black Holes
• Nonlinear Pulsations in Differentially Rotating Neutron Stars: Mass-Shedding-Induced Damping and Splitting of the Fundamental Mode
• Three-dimensional simulations of stellar core collapse in full general relativity: Nonaxisymmetric dynamical instabilities
• One-armed Spiral Instability in a Low T/|W| Postbounce Supernova Core
• Non-linear axisymmetric pulsations of rotating relativistic stars in the conformal flatness approximation
• Dynamical bar-mode instability of differentially rotating stars: Effects of equations of state and velocity profiles
• Gravitational wave extraction and outer boundary conditions by perturbative matching
• One-Armed Spiral Instability in Differentially Rotating Stars
• Unexpected Dynamical Instabilities In Differentially Rotating Neutron Stars
• The appearance of coordinate shocks in hyperbolic formalisms of General Realtivity
• Gravitational Radiation from Nonaxisymmetric Instability in a Rotating Star
• Gravitational Waves from Long-Duration Simulations of the Dynamical Bar Instability
• Gravitational waves from axisymmetrically oscillating neutron stars in general relativistic simulations
• Dynamical Bar Instability in Rotating Stars: Effect of General Relativity
• Cauchy-perturbative matching and outer boundary conditions: computational studies
• Cauchy-perturbative matching and outer boundary conditions I: Methods and tests
• Simulations of Nonaxisymmetric Instability in a Rotating Star: A Comparison Between Eulerian and Smooth Particle Hydrodynamics
• Evolution of Differentially Rotating Supermassive Stars to the Onset of Bar Instability
• Selective readout and back-action reduction for wideband acoustic gravitational wave detectors
• Dynamical instability of new-born neutron stars as sources of gravitational radiation
• Gravitational Radiation from Rotational Instabilities in Compact Stellar Cores with Stiff Equations of State
• Gravitational Waves from the Dynamical Bar Instability in a Rapidly Rotating Star
• Gravitational waves from oscillating accretion tori: Comparison between different approaches
• Linear Stability Analysis of Differentially Rotating Polytropes -- New results for the m = 2 f-mode dynamical instability --
• Dynamical bar instability in a relativistic rotational core collapse

Cited by in corpus (73)

• The Einstein Toolkit: A Community Computational Infrastructure for Relativistic Astrophysics
• Binary neutron-star mergers: a review of Einstein's richest laboratory
• Accurate evolutions of inspiralling neutron-star binaries: prompt and delayed collapse to black hole
• Relativistic Fluid Dynamics: Physics for Many Different Scales
• Binary Neutron Star Mergers
• The astrophysical gravitational wave stochastic background
• The gravitational wave burst signal from core collapse of rotating stars
• Gravitational waves from neutron star mergers and their relation to the nuclear equation of state
• Rotating Stars in Relativity
• Gravitational waves from neutron stars: Promises and challenges
• Accurate evolutions of inspiralling and magnetized neutron-stars: equal-mass binaries
• GRB afterglow plateaus and Gravitational Waves: multi-messenger signature of a millisecond magnetar?
• Rotational properties of hypermassive neutron stars from binary mergers
• Numerical relativity simulations of binary neutron stars
• Observing Gravitational Waves from Core-Collapse Supernovae in the Advanced Detector Era
• Extraction of Gravitational Waves in Numerical Relativity
• How Gravitational-wave Observations Can Shape the Gamma-ray Burst Paradigm
• Geometrical Expression for the Angular Resolution of a Network of Gravitational-Wave Detectors
• Collapse of differentially rotating neutron stars and cosmic censorship
• Long gravitational-wave transients and associated detection strategies for a network of terrestrial interferometers
• Relativistic fluid dynamics: physics for many different scales
• Rotating Collapse of Stellar Iron Cores in General Relativity
• Gravitational Waves from Nonlinear Couplings of Radial and Polar Nonradial Modes in Relativistic Stars
• Numerical Relativity of Compact Binaries in the 21st Century
• On the Shear Instability in Relativistic Neutron Stars
• Axisymmetric General Relativistic Simulations of the Accretion-Induced Collapse of White Dwarfs
• On the dynamical bar-mode instability in spinning bosonic stars
• Dynamical non-axisymmetric instabilities in rotating relativistic stars
• The Transient Gravitational-Wave Sky
• Gravitational-Wave Extraction from Neutron Star Oscillations: comparing linear and nonlinear techniques
• Modeling differential rotations of compact stars in equilibriums
• Numerical-relativity simulations of long-lived remnants of binary neutron star mergers
• Evolutions of Magnetized and Rotating Neutron Stars
• Multi-patch methods in general relativistic astrophysics - I. Hydrodynamical flows on fixed backgrounds
• Self-interactions can stabilize excited boson stars
• Dynamical bar-mode instability in rotating and magnetized relativistic stars
• Multimessenger Search for Sources of Gravitational Waves and High-Energy Neutrinos: Results for Initial LIGO-Virgo and IceCube
• Magnetic effects on the low-T/|W| instability in differentially rotating neutron stars
• Gravitational wave background from sub-luminous GRBs: prospects for second and third generation detectors
• The evolution of the f-mode instability in neutron stars and gravitational wave detectability
• Non-axisymmetric instability and fragmentation of general relativistic quasi-toroidal stars
• Numerical relativity simulations of thick accretion disks around tilted Kerr black holes
• Impact of bulk viscosity on the post-merger gravitational-wave signal from merging neutron stars
• On the dynamical stability of quasi-toroidal differentially rotating neutron stars
• Dynamical Bar-Mode Instability in Differentially Rotating Magnetized Neutron Stars
• Instabilities in neutron-star postmerger remnants
• The intimate relation between the low T/W instability and the co-rotation point
• The Gravitational Wave Signature of Core-Collapse Supernovae
• Uniformly rotating, axisymmetric and triaxial quark stars in general relativity
• Rapidly rotating neutron stars: Universal relations and EOS inference
• Numerical modelling of bulk viscosity in neutron stars
• Merger-inspired rotation laws and the low-T/W instability in neutron stars
• Stiffness effects on the dynamics of the bar-mode instability of Neutron Stars in full General Relativity
• Modeling Mergers of Known Galactic Systems of Binary Neutron Stars
• Rapidly rotating neutron star progenitors
• Evolution of bare quark stars in full general relativity: Single star case
• Neutron Star instabilities in full General Relativity using a $\Gamma =2.75$ ideal fluid
• Faraday resonance in dynamical bar instability of differentially rotating stars
• On a role of corotation radius in the low $T/W$ dynamical instability of differentially rotating stars
• Non-axisymmetric oscillations of rapidly rotating relativistic stars by conformal flatness approximation
• Accretion-Induced Collapse of Dark Matter Admixed White Dwarfs -- II: Rotation and Gravitational-wave Signals
• Gravitational wave content and stability of uniformly, rotating, triaxial neutron stars in general relativity
• General-relativistic resistive-magnetohydrodynamics simulations of self-consistent magnetized rotating neutron stars
• Neutron-quark stars: Discerning viable alternatives for the higher-density part of the equation of state of compact stars
• Bar-mode instability suppression in magnetized relativistic stars
• Pseudo-Newtonian Models for the Equilibrium Structures of Rotating Relativistic Stars
• Long-Term Postmerger Simulations of Binary Neutron Star Coalescence: Formation of Toroidal Remnants and Gravitational Wave Afterglow
• Long-term impact of the magnetic-field strength on the evolution and electromagnetic emission by neutron-star merger remnants
• Amplification of azimuthal modes with odd wave numbers during dynamical bar-mode growth in rotating stars
• Topology of the Superconducting Heart of Neutron Stars: Effects of Microphysics and Gravitational-Wave Signatures
• Impact of ultralight bosonic dark matter on the dynamical bar-mode instability of rotating neutron stars
• Spinning solutions in general relativity with infinite central density
• A gravitational-wave perspective on neutron-star seismology