Secular Instability of g-Modes in Rotating Neutron Stars

Abstract

Gravitational radiation tends to drive gravity modes in rotating neutron stars unstable. For an inviscid star, the instability sets in when the rotation frequency is about 0.7 times the corresponding mode frequency of the nonrotating star. Neutron stars with spin frequencies $\go 100$ Hz are susceptible to this instability, with growth time of order years. However, it is likely that viscous dissipation suppresses the instability except for a narrow range of temperatures around $10^9$ K. We also show that the viscosity driven instability of g-modes is absent.

8 pages, 5 figures; MNRAS, in press. 2 figures added; More details are given for the mode properties

References in corpus (6)

• Gravitational Radiation and Rotation of Accreting Neutron Stars
• Gravitational Radiation Instability in Hot Young Neutron Stars
• Gravitational radiation limit on the spin of young neutron stars
• On the relevance of the r-mode instability for accreting neutron stars and white dwarfs
• Runaway Heating By R-modes of Neutron Stars in Low Mass X-ray Binaries
• Hydrogen Electron Capture in Accreting Neutron Stars and the Resulting g-Mode Oscillation Spectrum

Cited by in corpus (30)

• Quasi-Normal Modes of Stars and Black Holes
• The r-mode instability in rotating neutron stars
• Nonlinear mode coupling in rotating stars and the r-mode instability in neutron stars
• Spinning down newborn neutron stars: nonlinear development of the r-mode instability
• Relativistic g-modes in rapidly rotating neutron stars
• Oscillations of rapidly rotating stratified neutron stars
• Spin effects on neutron star fundamental-mode dynamical tides: phenomenology and comparison to numerical simulations
• Using gravitational-wave data to constrain dynamical tides in neutron star binaries
• g-mode Oscillations in Hybrid Stars: A Tale of Two Sounds
• Possible Causes of False General Relativity Violations in Gravitational Wave Observations
• Gravitational waves from transient neutron star f-mode oscillations
• $g$-modes of neutron stars with hadron-to-quark crossover transitions
• Quasi-normal g-modes of neutron stars with quarks
• Effects of Dark Matter on $f$-mode oscillations of Neutron Stars
• Rotational effects on the oscillation frequencies of newly born proto-neutron stars
• Constraining nuclear parameters using Gravitational waves from f-mode Oscillations in Neutron Stars
• Oscillations of superfluid hyperon stars: decoupling scheme and g-modes
• g-mode Oscillations in Neutron Stars with Hyperons
• Eigenmode frequency distribution of rapidly rotating neutron stars
• Gravitational Wave Astronomy
• Saturation of the f-mode instability in neutron stars: II. Applications and results
• Temperature Effects on Core g-modes of Neutron Stars
• Gravitational Waves from Rotating Proto-Neutron Stars
• Limits on Magnetic Field Amplification from the r-Mode Instability
• $g$-mode oscillations of dark matter admixed neutron stars
• $g$-mode of neutron stars in pseudo-Newtonian gravity
• Lifting the Veil on Quark Matter in Compact Stars with Core g-mode Oscillations
• Magnetic amplification in premerger neutron stars through resonance-induced magnetorotational instabilities
• Inertial modes in stratified rotating neutron stars : An evolutionary description
• Prospects for detecting and localizing short-duration transient gravitational waves from glitching neutron stars without electromagnetic counterparts