The generalized uncertainty principle effect in acoustic black holes

Abstract

We obtain an effective acoustic metric with quantum corrections that are provided by a minimum length implemented by the generalized Heisenberg uncertainty principle (GUP) in the Abelian Higgs model. The effective acoustic metric now depends on the contribution of scalar and vector potentials. We also explore the Hawking radiation and entropy by considering the effective canonical acoustic black hole and find that the modified Hawking temperature leads to logarithm corrections to the entropy. Finally, we investigate the dispersion relations of the model to establish the relationships among the deviations of the group velocity, frequency and temperature due to the GUP.

12 pages, no figures, version published in Annals of Physics

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Cited by in corpus (11)

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• Hawking radiation and stability of the canonical acoustic black holes
• Analogue metric in a black bounce background
• Scattering and absorption by extra-dimensional black holes with GUP
• Modified metrics of acoustic black holes: A review
• A note on analogue semi-classical gravity in (1+1) dimensions
• Finite Temperature Considerations in the Structure of Quadratic GUP-modified White Dwarfs
• Acoustic Analogue for Quantum Field Theory with a Source term
• UV Effects and Short-Lived Hawking Radiation: Alternative Resolution of Information Paradox