Work

Bosonic and fermionic Love numbers of a static acoustic black hole

Year: 2026

Type: article

Abstract: We compute static ( ω → 0 ) tidal Love numbers for scalar ( s = 0 ) and Dirac ( s = 1 / 2 ) perturbations of static acoustic black holes (ABHs) in ( 3 + 1 ) and ( 2 + 1 ) 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 ( 3 + 1 ) dimensions the scalar Love number is generically nonzero for ABHs, while the Fermionic Love numbers follow a universal power-law form F ℓ m ± 1 / 2 = ± 4 − ( ℓ + 1 / 2 ) . In ( 2 + 1 ) dimensions, the scalar field exhibits a strange logarithmic structure, causing the Bosonic Love number to vanish for even m but remain nontrivial for odd m . In contrast, the Fermionic Love number in this case retains a simple power-law form F m = 4 − m 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.

Source: APS Open Science

DOI: 10.1103/35lw-pvfz

Authors: Yongbin Du, Xiangdong Zhang

Institutions: Sun Yat-sen University, South China University of Technology

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funder: National Natural Science Foundation of China

Award: G4798399350