The entropy of the noncommutative acoustic black hole based on generalized uncertainty principle
arXiv:1405.2046 · doi:10.1016/j.physletb.2014.08.018
Abstract
In this paper we investigate statistical entropy of a 3-dimensional rotating acoustic black hole based on generalized uncertainty principle. In our results we obtain an area entropy and a correction term associated with the noncommutative acoustic black hole when introduced in the generalized uncertainty principle takes a specific value. However, in this method, it is not needed to introduce the ultraviolet cut-off and divergences are eliminated. Moreover, the small mass approximation is not necessary in the original brick-wall model.
arXiv comment9 pages, no figures; version to appear in PLB. arXiv admin note: substantial text overlap with arXiv:1210.7739
References in corpus (66)
- String Theory and Noncommutative Geometry
- Noncommutative Field Theory
- Quantum Field Theory on Noncommutative Spaces
- Analogue Gravity
- The Unruh effect and its applications
- On Geometric Entropy
- Acoustic black holes: horizons, ergospheres, and Hawking radiation
- Fiber-optical analogue of the event horizon
- Dumb Holes and the Effects of High Frequencies on Black Hole Evaporation
- Sonic analog of gravitational black holes in Bose-Einstein condensates
- Noncommutative Black Holes, The Final Appeal To Quantum Gravity: A Review
- Relativistic Effects of Light in Moving Media with Extremely Low Group Velocity
- Observation of negative-frequency waves in a water tank: A classical analogue to the Hawking effect?
- Dynamical Origin of the Entropy of a Black Hole
- Gravity wave analogs of black holes
- Quantum-corrected black hole thermodynamics to all orders in the Planck length
- Quasinormal modes and classical wave propagation in analogue black holes
- Hawking radiation in an electro-magnetic wave-guide?
- Spontaneous breaking of Lorentz invariance, black holes and perpetuum mobile of the 2nd kind
- Hawking radiation in sonic black holes
- Noncommutative Field Theories and Gravity
- Conical Flow induced by Quenched QCD Jets
- Quantum catastrophe of slow light
- On Slow Light as a Black Hole Analogue
- `Superresonance' from a rotating acoustic black hole
- Anyon wave equations and the noncommutative plane
- Topics in Noncommutative Geometry Inspired Physics
- Relativistic Acoustic Geometry
- Quasinormal modes and stability of the rotating acoustic black hole: numerical analysis
- Wave Equation for Sound in Fluids with Vorticity
- Entropy of the Schwarzschild black hole to all orders in the Planck length
- Generalised superradiant scattering
- Quasinormal modes, Superradiance and Area Spectrum for 2+1 Acoustic Black Holes
- Reflection coefficient for superresonant scattering
- Entropy of the Randall-Sundrum brane world with the generalized uncertainty principle
- Physical regularization for the spin-1/2 Aharonov-Bohm problem in conical space
- Entropy of Reissner-Nordstrom Black Holes with Minimal Length Revisited
- Acoustic Black Holes from Abelian Higgs Model with Lorentz Symmetry Breaking
- Acoustic black holes for relativistic fluids
- Entropy of a charged black hole in two dimensions without cutoff
- Entanglement Entropy and Mutual Information Production Rates in Acoustic Black Holes
- Superresonance effect from a rotating acoustic black hole and Lorentz symmetry breaking
- Supersonic Velocities in Noncommutative Acoustic Black Holes
- Fractional helicity, Lorentz symmetry breaking, compactification and anyons
- Analogue Aharonov-Bohm effect in a Lorentz-violating background
- Probing Noncommutativity with Inflationary Gravitational Waves
- Acoustic black holes from supercurrent tunneling
- Decay Rate and Low-Energy Near-Horizon Dynamics of Acoustic Black Holes
- Lorentz violation and black-hole thermodynamics: Compton scattering process
- Noncommutative analogue Aharonov-Bohm effect and superresonance
- The entropy of an acoustic black hole in Bose-Einstein condensates
- Non-Riemannian geometry of vortex acoustics
- Acoustic analogs of two-dimensional black holes
- Dispersion Relations in Noncommutative Theories
- Acoustic analogues of black hole singularities
- Transonic Black Hole Accretion as Analogue System
- Particle interference as a test of Lorentz-violating electrodynamics
- Noncommutativity in Maxwell-Chern-Simons-Matter Theory Simulates Pauli Magnetic Coupling
- The entropy of an acoustic black hole in Bose-Einstein condensates: transverse modes as a cure for divergences
- Supersymmetries of the spin-1/2 particle in the field of magnetic vortex, and anyons
- Hidden superconformal symmetry of spinless Aharonov-Bohm system
- Analog of Superradiance effect in BEC
- Acoustic Black Holes and Universal Aspects of Area Products
- Holonomy, Aharonov-Bohm effect and phonon scattering in superfluids
- Sound Wave in Vortex with Sink
- Kerr-Schild Riemannian acoustic black holes in dynamo plasma laboratory
Cited by in corpus (19)
- Quantum-corrected self-dual black hole entropy in tunneling formalism with GUP
- Quasibound states of Schwarzschild acoustic black holes
- Noncommutative Schwarzschild black hole surrounded by quintessence: Thermodynamics, Shadows and Quasinormal modes
- Noncommutative correction to the entropy of Schwarzschild black hole with GUP
- Noncommutative correction to the entropy of BTZ black hole with GUP
- Quantum-corrected two-dimensional Horava-Lifshitz black hole entropy
- The generalized uncertainty principle effect in acoustic black holes
- Quantum-corrected rotating acoustic black holes in Lorentz-violating background
- Thermodynamics of Reissner-Nordström Black Holes in Higher Dimensions: Rainbow Gravity Background With General Uncertainty Principle
- Thermodynamics of acoustic black holes in two dimensions
- Thermodynamic studies of Different Type of Black Holes: General Uncertainty Principle Approach
- Hawking radiation and stability of the canonical acoustic black holes
- Stochastic motion in an expanding noncommutative fluid
- GUP corrected entropy of the Schwarzschild black hole in holographic massive gravity
- Modified metrics of acoustic black holes: A review
- Quantum Gravity Constraints on Fine Structure Constant from GUP in Braneworlds
- meson photoproduction in ultrarelativistic heavy ion collisions
- Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric
- Joule-Thomson expansion for noncommutative uncharged black holes