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Environmental effects in GW physics: tidal deformability of black holes immersed in matter
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The tidal deformability of compact objects by a companion has a detectable imprint in the gravitational waves emitted by a binary system. This effect is governed by the so-called tidal Love numbers. For a particular theory of gravity, these depend solely on the object internal structure and they vanish for black holes in general relativity. A measurement compatible with nonzero tidal Love numbers could thus provide evidence of new physics in the strong-field regime. However, in realistic astrophysical scenarios, compact objects are surrounded by a nonvacuum environment. In this work, we study the tidal deformability of configurations of black holes immersed in matter, focusing on two analytical models representing an anisotropic fluid and a thin-shell of matter around a black hole. We then apply our results to the astrophysically relevant case of a black hole surrounded by an accretion disk, in the parameter region of interest of the upcoming LISA mission. Our results indicate that there are challenges to overcome concerning tests of strong-field gravity using tidal Love numbers.
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Cited by 4 Pith papers
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The Ringdown and the Tide: Fingerprints of Dark Matter Halo Profiles
For black holes in generalized (alpha,beta,gamma) dark matter halos, the axial ringdown shift is set by a single redshift integral, while the tidal Love number depends on an outer radial moment, making the two observa...
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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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Shadow and Quasi-Normal Modes of Schwarzschild-Hernquist Black Hole
For black holes embedded in Hernquist dark matter halos, the shadow radius and quasinormal mode frequencies are redshifted by a factor 1 - C + C^2/6 in the halo compactness C, with EHT observations implying C <= 0.092.
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