Fast Rotating Neutron Stars: Oscillations and Instabilities

Abstract

In this review article, we present the main results from our most recent research concerning the oscillations of fast rotating neutron stars. We derive a set of time evolution equations for the investigation of non-axisymmetric oscillations of rapidly rotating compact objects in full general relativity, taking into account the contribution of a dynamic spacetime. Using our code, which features high accuracy at comparably low computational expense, we are able to extract the frequencies of non-axisymmetric modes of compact objects with rotation rates up to the Kepler limit. We propose various universal relations combining bulk properties of isolated neutron stars as well as of binary systems before and after merger; these relations are independent of the true equation of state and may serve as a valuable tool for gravitational wave asteroseismology. We also present an introductory example using a Bayesian analysis.

28 pages, 8 figures. arXiv admin note: text overlap with arXiv:2008.04127

References in corpus (23)

• Constraining neutron star tidal Love numbers with gravitational wave detectors
• Constraints on a phenomenologically parameterized neutron-star equation of state
• GW170817: Joint Constraint on the Neutron Star Equation of State from Multimessenger Observations
• Neutron-star radius constraints from GW170817 and future detections
• 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
• Revealing the high-density equation of state through binary neutron star mergers
• Gravitational wave asteroseismology with fast rotating neutron stars
• Oscillations of rapidly rotating relativistic stars
• Gravitational waves from f-modes excited by the inspiral of highly eccentric neutron star binaries
• GW170817 implications on the frequency and damping time of f-mode oscillations of neutron stars
• Gravitational-Wave Extraction from Neutron Star Oscillations: comparing linear and nonlinear techniques
• On the frequency band of the f-mode CFS instability
• General-relativistic treatment of tidal $g$-mode resonances in coalescing binaries of neutron stars. I. Theoretical framework and crust breaking
• Crustal Oscillations of Slowly Rotating Relativistic Stars
• Dynamics of Fast Rotating Neutron Stars: An Approach in the Hilbert Gauge
• General-relativistic treatment of tidal $g$-mode resonances in coalescing binaries of neutron stars. II. As triggers for precursor flares of short gamma-ray bursts
• Non-axisymmetric oscillations of differentially rotating relativistic stars
• Inertial modes of rigidly rotating neutron stars in Cowling approximation
• On the Inverse Spectrum Problem of Neutron Stars
• Universal Relations for Binary Neutron Star Mergers with Long-lived Remnants
• Bayesian Inverse Problem of Rotating Neutron Stars