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.
Acoustic black holes: massless scalar field analytic solutions and analogue Hawking radiation
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abstract
We obtain the analytic solutions of the radial part of the massless Klein-Gordon equation in the spacetime of both three dimensional rotating and four dimensional canonical acoustic black holes, which are given in terms of the confluent Heun functions. From these solutions, we obtain the scalar waves near the acoustic horizon. We discuss the analogue Hawking radiation of massless scalar particles and the features of the spectrum associated with the radiation emitted by these acoustic black holes.
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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.