The One-Armed Spiral Instability in Neutron Star Mergers and its Detectability in Gravitational Waves

Abstract

We study the development and saturation of the $m=1$ one-armed spiral instability in remnants of binary neutron star mergers by means of high-resolution long-term numerical relativity simulations. Our results suggest that this instability is a generic outcome of neutron stars mergers in astrophysically relevant configurations; including both "stiff" and "soft" nuclear equations of state. We find that, once seeded at merger, the $m=1$ mode saturates within $\sim 10\mathrm{ms}$ and persists over secular timescales. Gravitational waves emitted by the $m=1$ instability have a peak frequency around $1-2\mathrm{kHz}$ and, if detected, could be used to constrain the equation of state of neutron stars. We construct hybrid waveforms spanning the entire Advanced LIGO band by combining our high-resolution numerical data with state-of-the-art effective-one-body waveforms including tidal effects. We use the complete hybrid waveforms to study the detectability of the one-armed spiral instability for both Advanced LIGO and the Einstein Telescope. We conclude that the one-armed spiral instability is not an efficient gravitational wave emitter. Its observation by current generation detectors is unlikely and will require third-generation interferometers.

7 pages, 3 figures. Comments are welcome

References in corpus (23)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• Advanced Virgo: a 2nd generation interferometric gravitational wave detector
• Shapiro delay measurement of a two solar mass neutron star
• A Massive Pulsar in a Compact Relativistic Binary
• Constraints on a phenomenologically parameterized neutron-star equation of state
• Accurate evolutions of inspiralling neutron-star binaries: prompt and delayed collapse to black hole
• Merger of binary neutron stars to a black hole: Disk mass, short gamma-ray bursts, and quasinormal mode ringing
• Spectral properties of the post-merger gravitational-wave signal from binary neutron stars
• Testing Approximations of Thermal Effects in Neutron Star Merger Simulations
• Modeling the dynamics of tidally-interacting binary neutron stars up to merger
• Reconstructing the neutron-star equation of state with gravitational-wave detectors from a realistic population of inspiralling binary neutron stars
• Magnetized Neutron Star Mergers and Gravitational Wave Signals
• THC: a new high-order finite-difference high-resolution shock-capturing code for special-relativistic hydrodynamics
• Properties of hypermassive neutron stars formed in mergers of spinning binaries
• 3D Collapse of Rotating Stellar Iron Cores in General Relativity including Deleptonization and a Nuclear Equation of State
• Tidal effects in binary neutron star coalescence
• Revealing the high-density equation of state through binary neutron star mergers
• Three-dimensional simulations of rapidly rotating core-collapse supernovae: finding a neutrino-powered explosion aided by non-axisymmetric flows
• Measurability of the tidal deformability by gravitational waves from coalescing binary neutron stars
• Unexpected Dynamical Instabilities In Differentially Rotating Neutron Stars
• Exploring tidal effects of coalescing binary neutron stars in numerical relativity II: Longterm simulations
• Magnetic effects on the low-T/|W| instability in differentially rotating neutron stars
• Low-$T/|W|$ instabilities in differentially rotating proto-neutron stars with magnetic fields

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• Sub-radian-accuracy gravitational waves from coalescing binary neutron stars II: Systematic study on the equation of state, binary mass, and mass ratio
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• Impact of bulk viscosity on the post-merger gravitational-wave signal from merging neutron stars
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• Exploring the Potential for Detecting Rotational Instabilities in Binary Neutron Star Merger Remnants with Gravitational Wave Detectors
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