Investigating tidal heating in neutron stars via gravitational Raman scattering

Abstract

We present a scattering amplitude formalism to study the tidal heating effects of nonspinning neutron stars incorporating both worldline effective field theory and relativistic stellar perturbation theory. In neutron stars, tidal heating arises from fluid viscosity due to various scattering processes in the interior. It also serves as a channel for the exchange of energy and angular momentum between the neutron star and its environment. In the interior of the neutron star, we first derive two master perturbation equations that capture fluid perturbations accurate to linear order in frequency. Remarkably, these equations receive no contribution from bulk viscosity due to a peculiar adiabatic incompressibility which arises in stellar fluid for non-barotropic perturbations. In the exterior, the metric perturbations reduce to the Regge-Wheeler (RW) equation which we solve using the analytical Mano-Suzuki-Takasugi (MST) method. We compute the amplitude for gravitational waves scattering off a neutron star, also known as gravitational Raman scattering. From the amplitude, we obtain expressions for the electric quadrupolar static Love number and the leading dissipation number to all orders in compactness. We then compute the leading dissipation number for various realistic equation-of-state(s) and estimate the change in the number of gravitational wave cycles due to tidal heating during inspiral in the LIGO-Virgo-KAGRA (LVK) band.

28 pages, 2 tables, 1 appendix, journal version

References in corpus (40)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• The Confrontation between General Relativity and Experiment
• GWTC-3: Compact Binary Coalescences Observed by LIGO and Virgo During the Second Part of the Third Observing Run
• Tidal Love numbers of neutron stars
• Constraining neutron star tidal Love numbers with gravitational wave detectors
• Constraints on a phenomenologically parameterized neutron-star equation of state
• Relativistic theory of tidal Love numbers
• Comparison of post-Newtonian templates for compact binary inspiral signals in gravitational-wave detectors
• Tidal dissipation in stars and giant planets
• Building relativistic mean field models for finite nuclei and neutron stars
• On the importance of viscous dissipation and heat conduction in binary neutron-star mergers
• On the Vanishing of Love Numbers for Kerr Black Holes
• Shear viscosity in neutron star cores
• Vanishing of black hole tidal Love numbers from scattering amplitudes
• Gravitational-Wave Phasing of Quasi-Circular Compact Binary Systems to the Fourth-and-a-Half post-Newtonian Order
• Gravitational Wave Flux and Quadrupole Modes from Quasi-Circular Non-Spinning Compact Binaries to the Fourth Post-Newtonian Order
• Spin effects on neutron star fundamental-mode dynamical tides: phenomenology and comparison to numerical simulations
• Finite-temperature extension for cold neutron star equations of state
• Emergence of microphysical bulk viscosity in binary neutron star post-merger dynamics
• Waveform accuracy and systematic uncertainties in current gravitational wave observations
• Modeling horizon absorption in spinning binary black holes using effective worldline theory
• Microscopic Realization of the Kerr/CFT Correspondence
• Imposing multi-physics constraints at different densities on the Neutron Star Equation of State
• Multi-physics constraints at different densities to probe nuclear symmetry energy in hyperonic neutron stars
• Tidal response from scattering and the role of analytic continuation
• Effect of hyperon-hyperon interaction on bulk viscosity and r-mode instability in neutron stars
• Improved next-to-leading order tidal heating and torquing of a Kerr black hole
• EoS for hot neutron stars
• Assessing the model waveform accuracy of gravitational waves
• Scattering of gravitational waves off spinning compact objects with an effective worldline theory
• Gravitomagnetic Love tensor of a slowly rotating body: post-Newtonian theory
• Formulating bulk viscosity for neutron star simulations
• Relativistic effective action of dynamical gravitomagnetic tides for slowly rotating neutron stars
• Probing internal dissipative processes of neutron stars with gravitational waves during the inspiral of neutron star binaries
• General relativistic dynamical tides in binary inspirals, without modes
• g-mode Oscillations in Neutron Stars with Hyperons
• Tidal heating as a direct probe of strangeness inside neutron stars
• Dynamical tides during the inspiral of rapidly spinning neutron stars: Solutions beyond mode resonance
• Damping of density oscillations from bulk viscosity in quark matter
• The impact of nuclear reactions on the neutron-star g-mode spectrum

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• Schott term in the binding energy for compact binaries on circular orbits at fourth post-Newtonian order
• Nonradial oscillations of stratified neutron stars with solid crusts: Mode characterization and tidal resonances in coalescing binaries
• Parametrized Tidal Dissipation Numbers of Non-rotating Black Holes
• Dynamical Tidal Response of Non-rotating Black Holes: Connecting the MST Formalism and Worldline EFT
• The tidal response of a relativistic star
• Tidal dissipation in binary neutron star inspirals from hyperon bulk viscosity: Phase modeling and parameter estimation bias
• Kerr-Newman quasinormal modes and Seiberg-Witten theory
• Dynamical Love Numbers for Black Holes and Beyond from Shell Effective Field Theory
• Relativistic excitation of compact stars
• Binary black holes in the heat of merger
• Radial Oscillations of Viscous Stars