Parametrized Tidal Dissipation Numbers of Non-rotating Black Holes
arXiv:2505.19725 · doi:10.1103/yclz-lbbs
Abstract
A set of tidal dissipation numbers (TDNs) quantifies the absorption of the tidal force exerted by a companion during an inspiralling phase of a binary compact object. This tidal dissipation generally affects the gravitational waveform, and measuring the TDNs of a black hole (BH) allows us to test the nature of gravity in the strong-field regime. In this paper, we develop a parametrized formalism for calculating the TDNs of static and spherically symmetric BH backgrounds using the Mano-Suzuki-Takasugi method, which connects the underlying perturbative equations with observable quantities in gravitational-wave observations in a theory-agnostic manner. Our formalism applies to any system where the master equation has the form of the Regge-Wheeler/Zerilli equation with a small correction to the effective potential. As an application of our formalism, we consider three examples: the effective field theory of BH perturbations with timelike scalar profile, the Einstein-Maxwell system, and a higher-curvature extension of general relativity. We also discuss the absence of logarithmic running for the TDNs.
arXiv comment40 pages, Matches PRD version
References in corpus (93)
- GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
- GW170817: Measurements of Neutron Star Radii and Equation of State
- Tidal Love numbers of neutron stars
- Properties of the binary neutron star merger GW170817
- Constraining neutron star tidal Love numbers with gravitational wave detectors
- Testing the nature of dark compact objects: a status report
- Relativistic tidal properties of neutron stars
- Relativistic theory of tidal Love numbers
- Causality Constraints on Corrections to the Graviton Three-Point Coupling
- Measurability of the tidal polarizability of neutron stars in late-inspiral gravitational-wave signals
- The Effective Field Theorist's Approach to Gravitational Dynamics
- Analytic black hole perturbation approach to gravitational radiation
- Systematic parameter errors in inspiraling neutron star binaries
- Testing strong-field gravity with tidal Love numbers
- Analytic Solutions of the Teukolsky Equation and their Low Frequency Expansions
- Gravitational radiation from a particle in circular orbit around a black hole. V. Black-hole absorption and tail corrections
- Gravitational radiative corrections from effective field theory
- Black hole stereotyping: Induced gravito-static polarization
- Black holes in an Effective Field Theory extension of GR
- Tidal Deformation and Dissipation of Rotating Black Holes
- Parametrized black hole quasinormal ringdown. I. Decoupled equations for nonrotating black holes
- Absorption of mass and angular momentum by a black hole: Time-domain formalisms for gravitational perturbations, and the small-hole/slow-motion approximation
- Probing Planckian corrections at the horizon scale with LISA binaries
- An effective formalism for testing extensions to General Relativity with gravitational waves
- Spinning Black Holes Fall in Love
- Tidal Love Numbers of Kerr Black Holes
- On the Vanishing of Love Numbers for Kerr Black Holes
- Analytic Solutions of the Regge-Wheeler Equation and the Post-Minkowskian Expansion
- Static response and Love numbers of Schwarzschild black holes
- Parametrized black hole quasinormal ringdown. II. Coupled equations and quadratic corrections for nonrotating black holes
- Quantum Gravity Constraints from Unitarity and Analyticity
- Energy and angular momentum flow into a black hole in a binary
- Analytic Solutions of the Teukolsky Equation and their Properties
- Tidal deformability and I-Love-Q relations for gravastars with polytropic thin shells
- Tidal heating as a discriminator for horizons in extreme mass ratio inspirals
- Black Holes in the Ghost Condensate
- Ladder Symmetries of Black Holes: Implications for Love Numbers and No-Hair Theorems
- Quasinormal ringing of Kerr black holes. II. Excitation by particles falling radially with arbitrary energy
- Post-Newtonian Expansion of Gravitational Waves from a Particle in Circular Orbits around a Rotating Black Hole :Effects of Black Hole Absorption
- Gravitational ringing of rotating black holes in higher-derivative gravity
- Perturbations of spinning black holes beyond General Relativity: Modified Teukolsky equation
- On the gravitational polarizability of black holes
- The Speed of Gravity
- Vanishing of black hole tidal Love numbers from scattering amplitudes
- Love symmetry
- Perturbations of Stealth Black Holes in DHOST Theories
- Black Hole Gravitational Waves in the Effective Field Theory of Gravity
- Spin effects on neutron star fundamental-mode dynamical tides: phenomenology and comparison to numerical simulations
- Linear stability analysis of hairy black holes in quadratic degenerate higher-order scalar-tensor theories: Odd-parity perturbations
- Weakly-coupled stealth solution in scordatura degenerate theory
- Extreme mass-ratio inspirals around a spinning horizonless compact object
- On the Ambiguity in Relativistic Tidal Deformability
- Tidal deformability of dressed black holes and tests of ultralight bosons in extended mass ranges
- Probing the nature of central objects in extreme-mass-ratio inspirals with gravitational waves
- Hamiltonian vs stability and application to Horndeski theory
- General Relativity solutions in modified gravity
- General Relativity solutions with stealth scalar hair in quadratic higher-order scalar-tensor theories
- Near-Zone Symmetries of Kerr Black Holes
- Environmental effects in GW physics: tidal deformability of black holes immersed in matter
- Modelling frequency-dependent tidal deformability for environmental black-hole mergers
- Tidal Love Numbers of Black Holes and Neutron Stars in the Presence of Higher Dimensions: Implications of GW170817
- Gravitational waves and higher dimensions: Love numbers and Kaluza-Klein excitations
- Modeling horizon absorption in spinning binary black holes using effective worldline theory
- Existence and Instability of Novel Hairy Black Holes in Shift-symmetric Horndeski Theories
- Quasinormal modes and grey-body factors of regular black holes with a scalar hair from the Effective Field Theory
- Tidal response from scattering and the role of analytic continuation
- Black hole perturbations in DHOST theories: Master variables, gradient instability, and strong coupling
- Implications of the Weak Gravity Conjecture for Tidal Love Numbers of Black Holes
- Can we probe Planckian corrections at the horizon scale with gravitational waves?
- Recognizing black holes in gravitational-wave observations: Challenges in telling apart impostors in mass-gap binaries
- Vanishing Love of Black Holes in General Relativity: From Spacetime Conformal Symmetry of a Two-dimensional Reduced Geometry
- Eccentric-orbit EMRI gravitational wave energy fluxes to 7PN order
- Ladder Symmetries of Black Holes and de Sitter Space: Love Numbers and Quasinormal Modes
- Effective Field Theory of Black Hole Perturbations with Timelike Scalar Profile: Formulation
- From micro to macro and back: probing near-horizon quantum structures with gravitational waves
- Probing internal dissipative processes of neutron stars with gravitational waves during the inspiral of neutron star binaries
- Quasinormal Modes from EFT of Black Hole Perturbations with Timelike Scalar Profile
- Generalized Regge-Wheeler Equation from Effective Field Theory of Black Hole Perturbations with a Timelike Scalar Profile
- High-order Tail in Schwarzschild Space-time
- Perturbations and quasi-normal modes of black holes with time-dependent scalar hair in shift-symmetric scalar-tensor theories
- Tidal heating of Quantum Black Holes and their imprints on gravitational waves
- Analytic post-Newtonian expansion of the energy and angular momentum radiated to infinity by eccentric-orbit non-spinning extreme-mass-ratio inspirals to 19PN
- Distinguishing black holes from horizonless objects through the excitation of resonances during inspiral
- Note on the parametrized black hole quasinormal ringdown formalism
- Investigating tidal heating in neutron stars via gravitational Raman scattering
- Towards establishing the presence or absence of horizons in coalescing binaries of compact objects by using their gravitational wave signals
- Dressing the Post-Newtonian two-body problem and Classical Effective Field Theory
- Spin and quadrupole contributions to the motion of astrophysical binaries
- Tidal Love Numbers from EFT of Black Hole Perturbations with Timelike Scalar Profile
- Running Love Numbers and the Effective Field Theory of Gravity
- Tidal heating as a direct probe of strangeness inside neutron stars
- Tidal Deformability of Neutron Stars in Scalar-Tensor Theories of Gravity
- Black hole ringdown from physically sensible initial value problem in higher-order scalar-tensor theories
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- Dynamical Tidal Response of Non-rotating Black Holes: Connecting the MST Formalism and Worldline EFT
- Ladder Symmetry: The Necessary and Sufficient Condition for Vanishing Love Numbers
- Love beyond Einstein: Metric reconstruction and Love number in quadratic gravity using WEFT
- On the logarithmic Love number of black holes beyond general relativity