Quantum-corrected finite entropy of noncommutative acoustic black holes

被引：29
作者：
Anacleto, M. A. [1 ]
Brito, F. A. [1 ,2 ]
Luna, G. C. [1 ]
Passos, E. [1 ]
Spinelly, J. [3 ]
机构：
[1] Univ Fed Campina Grande, Dept Fis, Caixa Postal 10071, BR-58109970 Campina Grande, Paraiba, Brazil
[2] Univ Fed Paraiba, Dept Fis, BR-58051970 Joao Pessoa, Paraiba, Brazil
[3] Univ Estadual Paraiba, CCT, Dept Fis, Campina Grande, PB, Brazil
来源：
ANNALS OF PHYSICS | 2015年 / 362卷
关键词：
Non-commutative field theory; Black holes entropy corrections; Generalized uncertainty principle; GENERALIZED UNCERTAINTY PRINCIPLE; HAWKING RADIATION; PHYSICAL INSTANCES; COMPLEX PATHS; ANALOG; ORDERS; SPACE; LIGHT;
D O I：
10.1016/j.aop.2015.08.009
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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 + 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. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：436 / 448
页数：13
相关论文
共 108 条
[1]   Discreteness of space from the generalized uncertainty principle [J].
Ali, Ahmed Farag ;
Das, Saurya ;
Vagenas, Elias C. .
PHYSICS LETTERS B, 2009, 678 (05) :497-499
[2]   The entropy of the noncommutative acoustic black hole based on generalized uncertainty principle [J].
Anacleto, M. A. ;
Brito, F. A. ;
Passos, E. ;
Santos, W. P. .
PHYSICS LETTERS B, 2014, 737 :6-11
[3]   Noncommutative analogue Aharonov-Bohm effect and superresonance [J].
Anacleto, M. A. ;
Brito, F. A. ;
Passos, E. .
PHYSICAL REVIEW D, 2013, 87 (12)
[4]   Acoustic black holes from Abelian Higgs model with Lorentz symmetry breaking [J].
Anacleto, M. A. ;
Brito, F. A. ;
Passos, E. .
PHYSICS LETTERS B, 2010, 694 (02) :149-157
[5]  
Anacleto M. A., ARXIV14084481
[6]   Quantum tunneling and back reaction [J].
Banerjee, Rabin ;
Majhi, Bibhas Ranjan .
PHYSICS LETTERS B, 2008, 662 (01) :62-65
[7]   Topics in Noncommutative Geometry Inspired Physics [J].
Banerjee, Rabin ;
Chakraborty, Biswajit ;
Ghosh, Subir ;
Mukherjee, Pradip ;
Samanta, Saurav .
FOUNDATIONS OF PHYSICS, 2009, 39 (12) :1297-1345
[8]  
Barceló C, 2005, LIVING REV RELATIV, V8, DOI [10.12942/lrr-2011-3, 10.12942/lrr-2005-12]
[9]   'Superresonance' from a rotating acoustic black hole [J].
Basak, S ;
Majumdar, P .
CLASSICAL AND QUANTUM GRAVITY, 2003, 20 (18) :3907-3913
[10]   Reflection coefficient for superresonant scattering [J].
Basak, S ;
Majumdar, P .
CLASSICAL AND QUANTUM GRAVITY, 2003, 20 (13) :2929-2936
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