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Quantum-corrected finite entropy of noncommutative acoustic black holes
Authors:MA Anacleto  FA Brito  GC Luna  E Passos  J Spinelly
Institution:1. Departamento de Física, Universidade Federal de Campina Grande, Caixa Postal 10071, 58109-970 Campina Grande, Paraíba, Brazil;2. Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-970 João Pessoa, Paraíba, Brazil;3. Departamento de Física-CCT, Universidade Estadual da Paraíba, Juvêncio Arruda S/N, Campina Grande, PB, Brazil
Abstract:In this paper we consider the generalized uncertainty principle in the tunneling formalism via Hamilton–Jacobi method to determine the quantum-corrected Hawking temperature and entropy for 2+12+1-dimensional noncommutative acoustic black holes. In our results we obtain an area entropy, a correction logarithmic in leading order, a correction term in subleading order proportional to the radiation temperature associated with the noncommutative acoustic black holes and an extra term that depends on a conserved charge. Thus, as in the gravitational case, there is no need to introduce the ultraviolet cut-off and divergences are eliminated.
Keywords:Non-commutative field theory  Black holes entropy corrections  Generalized uncertainty principle
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