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Parametrized Love numbers of non-rotating black holes
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A set of tidal Love numbers quantifies tidal deformation of compact objects and is a detectable imprint in gravitational waves from inspiralling binary systems. The measurement of black hole Love numbers allows to test strong-field gravity. In this paper, we present a parametrized formalism to compute the Love numbers of static and spherically symmetric black hole backgrounds, connecting the underlying equations of a given theory with detectable quantities in gravitational-wave observations in a theory-agnostic way. With this formalism, we compute the Love numbers in several systems. We further classify black hole Love numbers according to whether they vanish, are nonzero, or are ``running'' (scale-dependent), in theories or backgrounds that deviate perturbatively from the GR values. The construction relies on static linear perturbations and scattering theory. Our analytic and numerical results are in excellent agreement. As a side result, we show how to use Chandrasekhar's relations to relate basis of even parity to odd parity.
Forward citations
Cited by 5 Pith papers
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Matching Tidal Deformability (Wilson) Coefficients to Black Hole Love Numbers in Higher-Curvature Gravity
Wilson coefficients in higher-curvature EFTs equal point-particle counterterms plus finite-size Love-number pieces; standard GR matching fails and is corrected for cubic gravity.
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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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On the logarithmic Love number of black holes beyond general relativity
Logarithmic black hole Love numbers are fixed directly by the Taylor coefficients of the perturbation equation, and perturbative deviations from Schwarzschild/Reissner-Nordström force non-zero running.
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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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