Static Love numbers for bosonic and fermionic fields around acoustic black holes follow universal power laws for fermions and exhibit logarithmic structures for bosons in lower dimensions.
Fermionic Love number of Reissner-Nordstr\"om black holes
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abstract
The tidal deformation of compact objects, characterised by their Love numbers, provides insights into the internal structure of neutron stars and black holes. While static bosonic tidal Love numbers vanish for black holes in general relativity, it has been recently revealed that static fermionic tidal perturbations can induce non-zero Love numbers for Kerr black holes. In this paper, we investigate the response of the Reissner-Nordstr\"om black hole to the fermionic Weyl field. As a result, we find that the corresponding fermionic tidal Love numbers are also non-vanishing for the Reissner-Nordstr\"om black holes except for the extremal ones, which highlights the universal distinct behavior of the static fermionic tidal Love numbers compared to the bosonic counterparts.
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Tidal Love numbers of regular black holes are generically nonzero, model-dependent, and can acquire logarithmic scale dependence at higher perturbative orders.
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Bosonic and Fermionic love number of static acoustic black hole
Static Love numbers for bosonic and fermionic fields around acoustic black holes follow universal power laws for fermions and exhibit logarithmic structures for bosons in lower dimensions.
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Tidal Love numbers for regular black holes
Tidal Love numbers of regular black holes are generically nonzero, model-dependent, and can acquire logarithmic scale dependence at higher perturbative orders.