Rotating Love: The dynamical tides of spinning Newtonian stars
arXiv:2205.07577 · doi:10.1093/mnras/stad3593
Abstract
We carefully develop the framework required to model the dynamical tidal response of a spinning neutron star in an inspiralling binary system, in the context of Newtonian gravity, making sure to include all relevant details and connections to the existing literature. The tidal perturbation is decomposed in terms of the normal oscillation modes, used to derive an expression for the effective Love number which is valid for any rotation rate. In contrast to previous work on the problem, our analysis highlights subtle issues relating to the orthogonality condition required for the mode-sum representation of the dynamical tide and shows how the prograde and retrograde modes combine to provide the overall tidal response. Utilising a slow-rotation expansion, we show that the dynamical tide (the effective Love number) is corrected at first order in rotation, whereas in the case of the static tide (the static Love number) the rotational corrections do not enter until second order.
19 pages, 1 figure
References in corpus (48)
- GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
- GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run
- PSR J0030+0451 Mass and Radius from NICER Data and Implications for the Properties of Neutron Star Matter
- GWTC-3: Compact Binary Coalescences Observed by LIGO and Virgo During the Second Part of the Third Observing Run
- A NICER View of PSR J0030+0451: Millisecond Pulsar Parameter Estimation
- Tidal Love numbers of neutron stars
- Constraining neutron star tidal Love numbers with gravitational wave detectors
- A NICER View of the Massive Pulsar PSR J0740+6620 Informed by Radio Timing and XMM-Newton Spectroscopy
- Refined Mass and Geometric Measurements of the High-Mass PSR J0740+6620
- Relativistic theory of tidal Love numbers
- Observation of gravitational waves from two neutron star-black hole coalescences
- GW170817: Joint Constraint on the Neutron Star Equation of State from Multimessenger Observations
- Neutron-star radius constraints from GW170817 and future detections
- Implications of PREX-II on the equation of state of neutron-rich matter
- Tidal dissipation in stars and giant planets
- Dynamical Tides in General Relativity: Effective Action and Effective-One-Body Hamiltonian
- No-hair theorem for Black Holes in Astrophysical Environments
- Tidal Deformation and Dissipation of Rotating Black Holes
- Resonant tidal excitation of superfluid neutron stars in coalescing binaries
- Gravitational wave asteroseismology with fast rotating neutron stars
- Tidal deformation of a slowly rotating black hole
- Oscillations of rapidly rotating stratified neutron stars
- Resonant Tidal Excitation of Oscillation Modes in Merging Binary Neutron Stars: Inertial-Gravity Modes
- Oscillations of rapidly rotating relativistic stars
- Resonant Tidal Excitations of Inertial Modes in Coalescing Neutron Star Binaries
- Spin effects on neutron star fundamental-mode dynamical tides: phenomenology and comparison to numerical simulations
- Gravitomagnetic response of an irrotational body to an applied tidal field
- Impact of Dynamical Tides on the Reconstruction of the Neutron Star Equation of State
- You Can't Always Get What You Want: The Impact of Prior Assumptions on Interpreting GW190412
- Ranking Love numbers for the neutron star equation of state: The need for third-generation detectors
- Compact body in a tidal environment: New types of relativistic Love numbers, and a post-Newtonian operational definition for tidally induced multipole moments
- Probing the equation of state of neutron star matter with gravitational waves from binary inspirals in light of GW170817: a brief review
- Probing the nuclear equation of state from the existence of a neutron star: the GW190814 puzzle
- Dynamical tides in coalescing superfluid neutron star binaries with hyperon cores and their detectability with third generation gravitational-wave detectors
- Gravitomagnetic Love tensor of a slowly rotating body: post-Newtonian theory
- Dynamical tides in neutron stars: The impact of the crust
- The Radius of PSR J0740+6620 from NICER and XMM-Newton Data
- Dynamical tidal Love numbers of rapidly rotating planets and stars
- Quasi-normal modes of superfluid neutron stars
- Fast Rotating Neutron Stars: Oscillations and Instabilities
- Dynamical tides in Jupiter as revealed by Juno
- Gravitomagnetic tidal currents in rotating neutron stars
- The I-Love-Q Relations for Superfluid Neutron Stars
- -mode Imprints in Gravitational Waves from Coalescing Binaries involving Aligned Spinning Neutron Stars
- Dynamical tides in superfluid neutron stars
- Neutron Stars and Gravitational Waves: the Key Role of Nuclear Equation of State
- Hidden symmetry between rotational tidal Love numbers of spinning neutron stars
- The lost meaning of Jupiter's high-degree Love numbers
Cited by in corpus (12)
- General relativistic dynamical tides in binary inspirals, without modes
- Dynamical tides during the inspiral of rapidly spinning neutron stars: Solutions beyond mode resonance
- Neutron star g-modes in the relativistic Cowling approximation
- Premerger phenomena in neutron-star binary coalescences
- The impact of nuclear reactions on the neutron-star g-mode spectrum
- Cost of inferred nuclear parameters towards the f-mode dynamical tide in binary neutron stars
- Tidal Love numbers of gravitational atoms
- Modeling matter(s) in SEOBNRv5THM: Generating fast and accurate effective-one-body waveforms for spin-aligned binary neutron stars
- The tidal response of a relativistic star
- Dynamical neutron-star tides: The signature of a mode resonance
- Gravitational waves from r-mode oscillations of stochastically accreting neutron stars
- A post-Newtonian approach to neutron star oscillations