Research Paper#Theoretical Physics, Black Holes, Analogue Gravity🔬 ResearchAnalyzed: Jan 3, 2026 19:01
Love Numbers of Acoustic Black Holes
Analysis
This paper investigates the tidal response of acoustic black holes (ABHs) by calculating their Love numbers for scalar and Dirac perturbations. The study focuses on static ABHs in both (3+1) and (2+1) dimensions, revealing distinct behaviors for bosonic and fermionic fields. The results are significant for understanding tidal responses in analogue gravity systems and highlight differences between integer and half-integer spin fields.
Key Takeaways
- •Calculates Love numbers for scalar and Dirac perturbations of acoustic black holes.
- •Investigates static ABHs in (3+1) and (2+1) dimensions.
- •Reveals distinct behaviors for bosonic and fermionic fields.
- •Provides insights into tidal response in analogue gravity systems.
- •Highlights qualitative differences between integer- and half-integer-spin fields.
Reference
“The paper finds that in (3+1) dimensions the scalar Love number is generically nonzero, while the Fermionic Love numbers follow a universal power-law. In (2+1) dimensions, the scalar field exhibits a logarithmic structure, and the Fermionic Love number retains a simple power-law form.”