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On relativistic dynamical tides: subtleties and calibration
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The response of astrophysical compact objects to external tidal fields carries valuable information on the nature of these objects, on the equation of state of matter, and on the underlying gravitational theory. In this work, we highlight subtleties in describing relativistic dynamical tidal responses that arise from ambiguities in the decomposition of a perturbed metric into external tidal and induced response pieces. Observables are unambiguous. However in practice, differences arising from implicit assumptions in the definition of tidal deformabilities may lead to a bias in constraining nuclear physics or gravitational theories, if not properly tied to observational data. We propose calibration of a tidal response function for any compact objects in vacuum General Relativity. Within this framework, the dynamical tidal Love numbers of a Schwarzschild black hole in both even and odd sectors vanish at any multipole order. The calibration allows one to define dynamical tidal deformabilities of relativistic stars, such as neutron stars, as the difference from the BH values (zero) under the unified definition in a simple manner. As a straightforward extension of our framework, we compute the next-to-leading dissipative tidal response of Schwarzschild black holes for the first time.
Forward citations
Cited by 6 Pith papers
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Tidally induced multipole moments of a charged material body
The tidal Love numbers of a charged polytropic star in a force-balanced binary are negative, not positive, and vanish linearly with compactness.
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Dynamical Tidal Response of Schwarzschild Black Holes
The dynamical Love numbers of a Schwarzschild black hole are nonzero at quadratic order in frequency, run logarithmically with a coefficient set by dissipation, and are now matched including their finite, scheme-depen...
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Theoretical modeling of approximate universality of tidally deformed neutron stars
The paper analytically derives the universal Love relations for neutron stars and explains their equation-of-state insensitivity through a cancellation mechanism tied to low compressibility.
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Tidal Love numbers and quasi-normal modes of the ECO in a Dark Matter halo
An ECO embedded in a dark matter halo acquires dark-matter-dependent tidal Love numbers and, for a non-relativistic halo profile, gravitational-wave echoes clearly different from the vacuum case.
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Tidal Love numbers and quasi-normal modes of the Schwarzschild-Hernquist black hole
For a Schwarzschild black hole in a relativistic Hernquist dark matter halo, quasinormal-mode frequency shifts scale as (MDM/rs)^(3/2) rather than linearly, while tidal Love numbers are small and sensitive to the choi...
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Tidal deformation of an accreting compact object
For perfectly reflecting Schwarzschild-like ECOs, the log-compactness scaling of static scalar and spin-1 Love numbers survives a thin accretion disk, which mainly amplifies the response magnitude.
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