- Open Access
Bosonic and fermionic Love numbers of a static acoustic black hole
APS Open Sci. 1, 000012 – Published 1 May, 2026
DOI: https://doi.org/10.1103/35lw-pvfz
Abstract
We compute static () tidal Love numbers for scalar () and Dirac () perturbations of static acoustic black holes (ABHs) in and dimensions, respectively. By imposing horizon regularity condition and matching to the large-radius expansion, we extract the ratio between decaying and growing modes. It turns out that in dimensions the scalar Love number is generically nonzero for ABHs, while the Fermionic Love numbers follow a universal power-law form . In dimensions, the scalar field exhibits a strange logarithmic structure, causing the Bosonic Love number to vanish for even but remain nontrivial for odd . In contrast, the Fermionic Love number in this case retains a simple power-law form and is generically nonzero. These results provide insights into tidal response in analog-gravity systems and highlight qualitative differences between integer- and half-integer-spin fields.
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