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In this paper we derive acoustic metrics in the (3+1)-dimensional AbelianHiggs model with higher derivative terms. We have found acoustic metrics thatare conformally related to the Reissner-Nordstr\"om and Kerr-Newman metrics.The universal aspects of area products which depend only on quantizedquantities such as conserved electric charge and angular momentum are alsoaddressed. We relate these areas with entanglement entropy of acoustic blackholes in BEC systems. We also have shown there is an equivalence betweenmicroscopic descriptions of axisymmetric acoustic black hole entropy in a BECsystem in four and two dimensions. Particularly, the system seems to develop ananalogue of the Kerr/CFT correspondence.

Acoustic Black Holes and Universal Aspects of Area Products