Entropy of black holes, charged probes and noncommutative generalization
arXiv:2407.13233 · doi:10.1140/epjp/s13360-025-06306-z
Abstract
The brick wall model is a semi-classical approach to understanding the microscopic origin of black hole entropy. We outline the formalism for the brick wall model in arbitrary number of dimensions and generalize it to include both charged spacetimes and charged probes in order to systematically show how to calculate the entropy for any black hole, in higher orders of the WKB approximation. We calculate the entropy for the Reissner-Nordström and charged BTZ black holes, and by looking at the chargeless limits we recover the entropy of the Schwarzschild and neutral BTZ black holes. We also study noncommutative corrections to the black hole entropy by using a Drinfeld twist to deform spacetime symmetries. Using the noncommutative action for a charged scalar field, we derive the noncommutative Klein-Gordon equation and the radial equation in arbitrary dimension on which we generalize the brick wall method. We study case by case the noncommutative Reissner-Nordström and noncommutative charged BTZ black holes, the entropy of which we calculate using the generalized brick wall method. Corrections due to higher order in the WKB approximation arise, and they are given by the logarithms of the black hole area. The corrections in the lowest order of WKB due to noncommutativity are also given by the logarithms of the black hole area.
arXiv comment19 pages, typos corrected, published version
References in corpus (54)
- String Theory and Noncommutative Geometry
- Microscopic Origin of the Bekenstein-Hawking Entropy
- Entropy and Area
- Quantum Field Theory on Noncommutative Spaces
- The quantum structure of spacetime at the Planck scale and quantum fields
- Black Hole Entropy from Near-Horizon Microstates
- Quantum Geometry and Black Hole Entropy
- On a Lorentz-Invariant Interpretation of Noncommutative Space-Time and Its Implications on Noncommutative QFT
- Entanglement entropy of black holes
- A Gravity Theory on Noncommutative Spaces
- Logarithmic Corrections to Black Hole Entropy from the Cardy Formula
- Entropy from Conformal Field Theory at Killing Horizons
- Noncommutative Geometry and Gravity
- The scattering matrix approach for the quantum black hole, an overview
- Construction of non-Abelian gauge theories on noncommutative spaces
- Noncommutative Black Hole Thermodynamics
- Logarithmic Corrections to Schwarzschild and Other Non-extremal Black Hole Entropy in Different Dimensions
- Black Hole Entropy without Brick Walls
- Quantum -Poincare in Any Dimensions
- Logarithmic Corrections to N=2 Black Hole Entropy: An Infrared Window into the Microstates
- Bounding Noncommutative QCD
- On one-loop renormalization of black-hole entropy
- Noncommutative Quantum Gravity
- Noncommutative Gravity
- Further Evidence for the Conformal Structure of a Schwarzschild Black Hole in an Algebraic Approach
- Deformed Oscillator Algebras and QFT in -Minkowski Spacetime
- Logarithmic Corrections to Black Hole Entropy and AdS/CFT Correspondence
- Space-Time Noncommutativity, Discreteness of Time and Unitarity
- Complexified Gravity in Noncommutative Spaces
- Noncommutative D=4 gravity coupled to fermions
- Quantum Gravitational Corrections to the Entropy of a Schwarzschild Black Hole
- Cosmological and Black Hole Spacetimes in Twisted Noncommutative Gravity
- Black Holes and Phase Space Noncommutativity
- Logarithmic correction to black hole entropy from the nonlocality of quantum gravity
- Twisted Classical Poincaré Algebras
- Aspects of noncommutative (1+1)-dimensional black holes
- Noncommutative BTZ Black Hole and Discrete Time
- Noncommutative gravity coupled to fermions: second order expansion via Seiberg-Witten map
- Noncommutative Scalar Quasinormal Modes of the Reissner Nordström Black Hole
- Noncommutative field theory from angular twist
- A twisted look on kappa-Minkowski: U(1) gauge theory
- Noncommutative Two Dimensional Gravities
- Noncommutative scalar field in the non-extremal Reissner-Nordström background: QNM spectrum
- Effects of Noncommutativity on the Black Hole Entropy
- Teleparallel Complex Gravity as Foundation for Noncommutative Gravity
- Noncommutative correction to the entropy of Schwarzschild black hole with GUP
- Sub-leading contributions to the black hole entropy in the brick wall approach
- Exact Black Hole Solutions in Noncommutative Gravity
- Quantum statistics and noncommutative black holes
- Logarithmic terms in entropy of Schwarzschild black holes in higher loops
- Noncommutativity and logarithmic correction to the black hole entropy
- Symmetry Reduction in Twisted Noncommutative Gravity with Applications to Cosmology and Black Holes
- Noncommutative correction to the entropy of charged BTZ black hole
- The Groenewold - Moyal Plane and its Quantum Physics