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Acoustic Black Holes and Universal Aspects of Area Products

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arxiv 1309.1486 v3 pith:6KIV2SUC submitted 2013-09-05 hep-th gr-qc

classification hep-thgr-qc
keywords acousticblackmetricsareaaspectsentropyholesproducts
verification ladder T0 review T1 audit T2 compute T3 formal
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In this paper we derive acoustic metrics in the (3+1)-dimensional Abelian Higgs model with higher derivative terms. We have found acoustic metrics that are conformally related to the Reissner-Nordstr\"om and Kerr-Newman metrics. The universal aspects of area products which depend only on quantized quantities such as conserved electric charge and angular momentum are also addressed. We relate these areas with entanglement entropy of acoustic black holes in BEC systems. We also have shown there is an equivalence between microscopic descriptions of axisymmetric acoustic black hole entropy in a BEC system in four and two dimensions. Particularly, the system seems to develop an analogue of the Kerr/CFT correspondence.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Absorption and quasinormal modes by rotating acoustic black holes in Lorentz-violating background

    gr-qc 2026-04 unverdicted novelty 5.0 of 10

    Lorentz violation increases the absorption cross section of rotating acoustic black holes at all frequencies and causes faster damping of their quasinormal modes.

  2. Dynamical analog spacetimes from nonlinear perturbations in a topological material

    gr-qc 2025-07 reject novelty 3.0 of 10

    A nonlinear acoustic metric and microkelvin Hawking temperature are claimed for Berry-curvature-modified graphene electron flow, but the derivation is incomplete and the temperature has inconsistent units.

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