New perspectives on neutron star and black hole spectroscopy and dynamic tides

Abstract

We elaborate on a powerful tidal interaction formalism where the multipole dynamics is kept generic and encoded in a linear response function. This response function is the gravitational counterpart of the atomic spectrum and can become of similar importance with the rise of gravitational wave astronomy. We find that the internal dynamics of nonrotating neutron stars admit a harmonic oscillator formulation yielding a simple interpretation of tides. A preliminary investigation of the black holes case is given. Our results fill the gap between Love numbers and dynamic tides.

RevTeX, 18 pages, 1 figure, v2: added references, v3: corrected integration constants in Eq. (12), neutron star case essentially unaffected

References in corpus (14)

• Tidal Love numbers of neutron stars
• Relativistic theory of tidal Love numbers
• I-Love-Q Relations in Neutron Stars and their Applications to Astrophysics, Gravitational Waves and Fundamental Physics
• I-Love-Q
• Post-1-Newtonian tidal effects in the gravitational waveform from binary inspirals
• Black-Hole Bombs and Photon-Mass Bounds
• Perturbations of slowly rotating black holes: massive vector fields in the Kerr metric
• Cross section, final spin and zoom-whirl behavior in high-energy black hole collisions
• Analytic modelling of tidal effects in the relativistic inspiral of binary neutron stars
• Resonant Tidal Excitations of Inertial Modes in Coalescing Neutron Star Binaries
• Towers of Gravitational Theories
• Exploring binary-neutron-star-merger scenario of short-gamma-ray bursts by gravitational-wave observation
• Black hole mass dynamics and renormalization group evolution
• The Delocalized Effective Degrees of Freedom of a Black Hole at Low Frequencies

Cited by in corpus (18)

• The Effective Field Theorist's Approach to Gravitational Dynamics
• Dynamical Tides in General Relativity: Effective Action and Effective-One-Body Hamiltonian
• Effective Field Theories of Post-Newtonian Gravity: A comprehensive review
• The Tune of Love and the Nature(ness) of Spacetime
• Static response and Love numbers of Schwarzschild black holes
• Tidal deformation of a slowly rotating material body. External metric
• Tidal deformation of a slowly rotating black hole
• 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
• Compact body in a tidal environment: New types of relativistic Love numbers, and a post-Newtonian operational definition for tidally induced multipole moments
• Tidal response from scattering and the role of analytic continuation
• Effective action and linear response of compact objects in Newtonian gravity
• Dynamical response to a stationary tidal field
• Spin and quadrupole contributions to the motion of astrophysical binaries
• Modeling and detecting resonant tides of exotic compact objects
• Schwarzschild quasi-normal modes of non-minimally coupled vector fields
• I-Love irrotationally
• Tidal deformations of compact objects and gravitational wave emission