General Logarithmic Corrections to Black Hole Entropy

Abstract

We compute leading order corrections to the entropy of any thermodynamic system due to small statistical fluctuations around equilibrium. When applied to black holes, these corrections are shown to be of the form $-k\ln (Area)$. For BTZ black holes, $k=3/2$, as found earlier. We extend the result to anti-de Sitter Schwarzschild and Reissner-Nordstrom black holes in arbitrary dimensions. Finally we examine the role of conformal field theory in black hole entropy and its corrections.

12 Pages, Revtex. Minor changes, reference added. To appear in Class. and Quant. Grav

References in corpus (3)

• Logarithmic correction to the Bekenstein-Hawking entropy of the BTZ black hole
• Spectrum of Charged Black Holes - The Big Fix Mechanism Revisited
• Quantum Mechanics of Charged Black Holes

Cited by in corpus (266)

• Quantum Tunneling Beyond Semiclassical Approximation
• Logarithmic Corrections to Schwarzschild and Other Non-extremal Black Hole Entropy in Different Dimensions
• Quantum-corrected black hole thermodynamics to all orders in the Planck length
• Corrected Entropy-Area Relation and Modified Friedmann Equations
• Gravity and the Crossed Product
• Modified Friedmann Equations from Tsallis Entropy
• Fermion Tunneling Beyond Semiclassical Approximation
• Thermodynamical description of the interaction between holographic dark energy and dark matter
• Thermal Fluctuations in a Charged AdS Black Hole
• Large N algebras and generalized entropy
• Corrected entropy of BTZ black hole in tunneling approach
• Universal canonical black hole entropy
• On the Thermodynamic Geometry of BTZ Black Holes
• P - V Criticality of Logarithmic Corrected Dyonic Charged AdS Black Hole
• Effects of Thermal Fluctuations on the Thermodynamics of Modified Hayward Black Hole
• An invitation to loop quantum gravity
• Quantum gravity with a positive cosmological constant
• Voros product, Noncommutative Schwarzschild Black Hole and Corrected Area Law
• Corrections to the Cardy-Verlinde formula from the generalized uncertainty principle
• Exact Differential and Corrected Area Law for Stationary Black Holes in Tunneling Method
• Black Hole Thermodynamics in MOdified Gravity (MOG)
• Thermodynamics of a Sufficient Small Singly Spinning Kerr-AdS Black Hole
• Thermodynamical Interpretation of the Interacting Holographic Dark Energy Model in a non-flat Universe
• Thermal Fluctuations and Black Hole Entropy
• The generalized second law of thermodynamics in Horava-Lifshitz cosmology
• Logarithmic Corrections to Black Hole Entropy and AdS/CFT Correspondence
• Quintessence Reissner Nordström Anti de Sitter Black Holes and Joule Thomson effect
• Logarithmic corrections of charged hairy black hole in (2+1) dimension
• P-V criticality of first-order entropy corrected AdS black holes in massive gravity
• How far are we from the quantum theory of gravity?
• Quantum gravity effects on Hořava-Lifshitz black hole
• Entropy-Corrected Holographic Dark Energy
• Black Hole Entropy and the Modified Uncertainty Principle: A heuristic analysis
• Thermodynamics and its Prediction and CALPHAD Modeling: Review, State of the Art, and Perspectives
• Thermodynamics of higher dimensional black holes with higher order thermal fluctuations
• Thermodynamics in Rastall Gravity with Entropy Corrections
• Gravity with a generalized conformal scalar field: Theory and solutions
• 3D Flat Holography: Entropy and Logarithmic Corrections
• Geometric description of BTZ black holes thermodynamics
• Constraints on the Generalized Uncertainty Principle from Black Hole Thermodynamics
• Glassy Phase Transition and Stability in Black Holes
• Generalized second law of thermodynamics for FRW cosmology with logarithmic correction
• Entropy Corrections for Schwarzschild and Reissner-Nordström Black Holes
• How robust is the entanglement entropy-area relation?
• Quantum Fluctuations of a BTZ Black Hole in Massive Gravity
• Quantum corrections to thermodynamics of quasitopological black holes
• Black hole thermodynamics: No inconsistency via the inclusion of the missing P-V terms
• Higher order corrected thermodynamics and statistics of Kerr-Newman-Godel black hole
• Effects of Thermal Fluctuations on Non-minimal Regular Magnetic Black Hole
• Mass and charge fluctuations and black hole entropy
• The Generalized Uncertainty Principle and Corrections to the Cardy-Verlinde Formula in $SAd{S}_5$ Black Holes
• Thermal Fluctuations in a Hyperscaling Violation Background
• Effect of Thermal Fluctuations on a Charged Dilatonic Black Saturn
• Thermal fluctuations of charged black holes in gravity's rainbow
• Semiclassical corrections to black hole entropy and the generalized uncertainty principle
• Corrections Terms for the Thermodynamics of a Black Saturn
• Leading-order corrections to charged rotating AdS black holes thermodynamics
• Algebraic approach to quantum black holes: logarithmic corrections to black hole entropy
• The generalized second law of gravitational thermodynamics on the apparent and event horizons in FRW cosmology
• On Black Holes and Cosmological Constant in Noncommutative Gauge Theory of Gravity
• Entanglement Renyi Entropies in Conformal Field Theories and Holography
• Perturbed thermodynamics of charged black hole solution in Rastall theory
• Logarithmic correction to the Cardy-Verlinde formula in Achucarro-Oritz Black Hole
• Generalized Dirac structure beyond the linear regime in graphene
• Black Hole Entropy with minimal length in Tunneling formalism
• The AdS/CFT Correspondence and Logarithmic Corrections to Braneworld Cosmology and the Cardy-Verlinde Formula
• The generalized second law in irreversible thermodynamics for the interacting dark energy in a non-flat FRW universe enclosed by the apparent horizon
• Canonical entropy of three-dimensional BTZ black hole
• Cosmic accelerated expansion and the entropy corrected holographic dark energy
• Minimal Length, Friedmann Equations and Maximum Density
• Logarithmic Corrections to $N\ge 2$ Black Hole Entropy
• Discrete Spectra of Charged Black Holes
• Thermodynamic phase transition in the rainbow Schwarzschild black hole
• High-Order Corrections to the Entropy and Area of Quantum Black Holes
• Effective Polymer Dynamics of D-Dimensional Black Hole Interiors
• Logarithmic corrected Van der Waals black holes in higher dimensional AdS space
• Thermodynamic stability of modified Schwarzschild-AdS black hole in rainbow gravity
• Thermodynamics of d-dimensional charged rotating black brane and AdS/CFT correspondence
• Testing Quantum Gravity through Dumb Holes
• Growth of Perturbations in Tsallis and Barrow Cosmology
• Logarithmic corrections to three-dimensional black holes and de Sitter spaces
• GUP-Corrected Black Hole Thermodynamics and the Maximum Force Conjecture
• Horizon Areas and Logarithmic Correction to the Charged Accelerating Black Hole Entropy
• Generalized uncertainty principle with maximal observable momentum and no minimal length indeterminacy
• Thermodynamics of Higher Order Entropy Corrected Schwarzschild-Beltrami-de Sitter Black Hole
• Crossed product algebras and generalized entropy for subregions
• Generalized second law of thermodynamics in scalar-tensor gravity
• Semiclassical quantisation of space-times with apparent horizons
• Non-Pertubative Quantum Corrections to a Born-Infeld Black Hole and its Information Geometry
• Observational constraints of the modified cosmology through Barrow entropy
• PV criticality of the second order quantum corrected Horava-Lifshitz black hole
• PV criticality of Achucarro-Ortiz black hole in the presence of higher order quantum and GUP corrections
• Emergence of Cosmic Space and Minimal Length in Quantum Gravity
• Free particle wavefunction in light of the minimum-length deformed quantum mechanics and some of its phenomenological implications
• Logarithmic correction to the Cardy-Verlinde formula in Topological Reissner-Nordström de Sitter Space
• Quantum Tunneling, Blackbody Spectrum and Non-Logarithmic Entropy Correction for Lovelock Black Holes
• The lower bound violation of shear viscosity to entropy ratio due to logarithmic correction in STU model
• Generalized Black Hole Entropy is von Neumann Entropy
• On the Quantum Density of States and Partitioning an Integer
• Exponential corrected thermodynamics of black holes
• Perturbed thermodynamics and thermodynamic geometry of a static black hole in $f(R)$ gravity
• Holographic Dark Energy from Fluid/Gravity Duality Constraint by Cosmological Observations
• Tsallis cosmology and its applications in dark matter physics with focus on IceCube high-energy neutrino data
• Bouncing Cosmologies and Self-Gravitational Corrections
• Observational constraints on Tsallis modified gravity
• Consequences of Thermal Fluctuations of Well-Known Black Holes in Modified Gravity
• Quantum Mechanical Corrections to the Schwarzschild Black Hole Metric
• Generalized second law of thermodynamics in modified FRW cosmology with corrected entropy-area relation
• Tsallis holographic dark energy for inflation
• Thermal fluctuations, quasi-normal modes and phase transition of the charged AdS black hole with perfect fluid dark matter
• Constraints on Tsallis Cosmology from Big Bang Nucleosynthesis and the Relic Abundance of Cold Dark Matter Particles
• Equilibrium Temperature for Black Holes with Nonextensive Entropy
• Thermal fluctuations to thermodynamics of non-rotating BTZ black hole
• Logarithmic correction of the BTZ black hole and adaptive model of Graphene
• Thermodynamics and logarithmic corrections of symmergent black holes
• Entropy Bounds in $R\times S^3$ Geometries
• Thermodynamics of Gauss-Bonnet black holes revisited
• Generalized uncertainty principle and correction value to the black hole entropy
• Effects of Non-linear Electrodynamics on Thermodynamics of Charged Black Hole
• Thermodynamic Variables of First-Order Entropy Corrected Lovelock-AdS Black Holes : P-V Criticality Analysis
• Quantum Fluctuations from Thermal Fluctuations in Jacobson Formalism
• Sub-leading contributions to the black hole entropy in the brick wall approach
• Thermal fluctuations of (non)linearly charged BTZ black hole in massive gravity
• The P-V Phase Transition of the FRW Universe
• Thermodynamics and phases in quantum gravity
• The generalized second law for the interacting generalized Chaplygin gas model
• Deformed Density Matrix and Quantum Entropy of the Black Hole
• Generic predictions of quantum theories of gravity
• Logarithmic corrections to the FRW brane cosmology from 5d Schwarzschild-deSitter black hole
• Thermodynamic Information Geometry and Complexity Growth of Warped AdS Black Hole and the WAdS${}_3$/CFT${}_2$ Correspondence
• Thermodynamical description of the interacting new agegraphic dark energy
• Quantum Work and Information Geometry of a Quantum Myers-Perry Black Hole
• Tsallis Holographic Dark Energy Reconsidered
• Quantum corrections to a finite temperature BIon
• Emergence of spacetime dynamics in entropy corrected and braneworld models
• More Exact Thermodynamics of Nonlinear Charged AdS Black Holes in 4D Critical Gravity
• Thermodynamic Studies of Different Black Holes with Modifications of Entropy
• Black holes as gases of punctures with a chemical potential: Bose-Einstein condensation and logarithmic corrections to the entropy
• Quantum Corrections to the Thermodynamics of Black Branes
• Thermodynamical description of the ghost dark energy model
• Generalized Hawking-Page Phase Transition
• Coherent States for Black Holes
• Logarithmic Corrections, Entanglement Entropy, and UV Cutoffs in de Sitter Spacetime
• Testing Holographic Principle from Logarithmic and Higher Order Corrections to Black Hole Entropy
• Entropy of (2+1)-dimensional de Sitter black hole to all orders in the Planck length
• Conceptual unification of elementary particles, black holes, quantum de Sitter and Anti de Sitter string states
• Five-Dimensional Yang-Mills Black Holes in Massive Gravity's Rainbow
• Quantum Thermodynamics of an M2-M5 Brane System
• Entropy of Quantum Black Holes
• Universal canonical entropy for gravitating systems
• The Self-Gravitational Corrections as the Source for Stiff Matter on the Brane in $SAd{S}_5$ Bulk
• Non-perturbative correction on the black hole geometry
• Thermodynamics of Einstein-Euler-Heisenberg Black Holes with Thermal Fluctuations and Nonlinear Electromagnetic Fields
• Anti-de Sitter black holes, perfect fluids, and holography
• Hawking radiation of Kerr-Newman-de Sitter black hole
• Entropy of charged dilaton-axion black hole
• A Cardy formula for holographic hyperscaling-violating theories
• Entropic corrections to Newton's law
• Interacting entropy-corrected holographic dark energy with apparent horizon as an infrared cutoff
• On Black Hole Entropy Corrections in the Grand Canonical Ensemble
• Quantum Thermodynamics of a Quantum Sized AdS Black Hole
• Logarithmic corrections to the entropy function of black holes in the open ensemble
• The generalized second law for the interacting new agegraphic dark energy in a non-flat FRW universe enclosed by the apparent horizon
• Landauer's principle and black hole area quantization
• Thermal fluctuations of black holes with non-linear electrodynamics and charged Renyi entropy
• Logarithmic corrections to the Bekenstein_Hawking entropy for five-dimensional black holes and de Sitter spaces
• Geometrothermodynamic Analysis and $P$-$V$ criticality of Higher Dimensional Charged Gauss-Bonnet Black Holes With First Order Entropy Correction
• Bouncing cosmological solutions due to the self-gravitational corrections and their stability
• Higher order quantum corrections of rotating BTZ black hole
• GUP-Corrected van der Waals Black Holes
• Spectrum and Statistical Entropy of AdS Black Holes
• Black Hole Thermodynamics: Entropy, Information and Beyond
• Black String in Massive Gravity
• An Application of Lorentz Invariance Violation in Black Hole Thermodynamics
• Corrected thermodynamics of $(2+1)D$ black hole conformally coupled to a massless scalar
• Simple regular black hole with logarithmic entropy correction
• Entropy bounds for massive scalar field in positive curvature space
• Classical and Quantum Gravitational Collapse in d-dim AdS Spacetime II. Quantum States and Hawking Radiation
• Relationship between five-dimensional black holes and de Sitter spaces
• Space Noncommutativity Corrections to the Cardy-Verlinde Formula
• Bouncing universe of entropy-corrected Friedmann equations
• Novel logarithmic corrections to black hole entropy
• The Effects of Minimal Length in Entropic Force Approach
• Energy stored on a cosmological horizon and its thermodynamic fluctuations in holographic equipartition law
• Irreversible thermodynamics of dark energy on entropy-corrected apparent horizon
• Stability of remnants of Bardeen regular black holes in presence of thermal fluctuations
• Quantum-Corrected Entropy for 1+1-Dimensional Gravity Revisited
• Entropy, temperature and internal energy of trapped gravitons and corrections to the Black Hole entropy
• Leading-order corrections to the thermodynamics of Rindler modified Schwarzschild black hole
• CFT and Logarithmic Corrections to the Black Hole Entropy Product Formula
• Calculating the Hawking Temperatures of Conventional Black Holes in the f(R) Gravity Models with the RVB Method
• On the Microcanonical Entropy of a Black Hole
• Thermodynamics of Black holes With Higher Order Corrected Entropy
• Effective geometries and generalized uncertainty principle corrections to the Bekenstein-Hawking entropy
• Thermodynamic descriptions of Polytropic gas and its viscous type as the dark energy candidates
• Corrected thermodynamics of nonlinear magnetic-charged black hole surrounded by perfect fluid dark matter
• Do subleading corrections to Bekenstein-Hawking entropy hold the key to quantum gravity?
• Corrections to the Cardy-Verlinde formula from the modified dispersion relation in extra dimensions
• Thermodynamic analysis of universes with the initial and final de-Sitter eras
• Holography, Gauge-Gravity Connection and Black Hole Entropy
• Black holes in the conical ensemble
• Violation of the Holographic Principle in the Loop Quantum Gravity
• On the microstructure of higher-dimensional Reissner-Nordström black holes in quantum regime
• Enthalpy, Geometric Volume and Logarithmic correction to Entropy for Van-der-Waals Black Hole
• Asymptotic Density of Open p-brane States with Zero-modes included
• Logarithmic Corrections in Black Hole Entropy Product Formula
• Thermodynamical description of modified generalized Chaplygin gas model of dark energy
• Relativistic Correction to Black Hole Entropy
• Topological dyonic black holes of massive gravity with generalized quasitopological electromagnetism
• Quantum corrections to the thermodynamics and phase transition of a black hole surrounded by a cavity in the extended phase space
• Logarithmic corrections to black hole and black ring entropy in tunneling approach
• Thermodynamics of black holes and the symmetric generalized uncertainty principle
• Thermodynamic Stability of the Stationary Lifshitz Black Hole of New Massive Gravity
• Small Black String Thermodynamics
• A Logarithmic Correction in the Entropy Functional Formalism
• Information Theoretical Approach to Detecting Quantum Gravitational Corrections
• Logarithmic entropy of black hole in gravity with conformal anomaly from quantum tunneling approach
• Topological and optical signatures of modified black-hole entropies
• Towards self dual Loop Quantum Gravity
• The Unified First law in "Cosmic Triad" Vector Field Scenario
• General Logarithmic Corrections to Bekenstein-Hawking Entropy
• Higher order WKB corrections to black hole entropy in brick wall formalism
• Gravitational wave probes of Barrow cosmology with LISA standard sirens
• Level density of a Fermi gas and integer partitions: a Gumbel-like finite-size correction
• Statistical ensembles and logarithmic corrections to black hole entropy
• Thermodynamics of charged AdS black holes in rainbow gravity
• Questions of Stability near Black Hole Critical Points
• Resolving the information loss paradox from the five-dimensional minimal supergravity black hole
• GUP Effective Metric Without GUP: Implications for the Sign of GUP Parameter and Quantum Bounce
• Exponential correction to Friedmann equations
• Thermodynamics Inducing Massive Particles' Tunneling and Cosmic Censorship
• The temperature and entropy corrections on the charged hairy black holes
• Back reaction, covariant anomaly and effective action
• Discussion of a possible corrected black hole entropy
• Quantized space-time and its influences on some physical problems
• Thermodynamic Prescription of Cosmological Constant in Randall Sundrum-II Brane
• f(R) in Holographic and Agegraphic Dark Energy Models and the Generalized Uncertainty Principle
• The wave function of a gravitating shell
• Removing the divergence of Chandrasekhar limit caused by generalized uncertainty principle
• De Sitter entropy: on-shell versus off-shell
• Thermal Fluctuations Effects on Reissner-Nordström-AdS Black Hole
• Perturbative approach to the entanglement entropy and the area law in Fock and polymer quantization
• Gauss-Bonnet entropy and thermal dynamics of RN-AdS black holes
• Holographic vacuum energy regularization and corrected entropy of de Sitter space
• Towards experimentally studying some puzzles of Hawking radiation
• Logarithmic Corrections to the Black Hole Entropy Product of ${\mathcal{H}}^{\pm }$ via Cardy Formula
• More Exact Thermodynamic Analysis of Topological Black Holes in $R^2$ Gravity
• Thermodynamic partition function from quantum theory for black hole horizons in loop quantum gravity
• Entropy Bound for the TM Electromagnetic Field in the Half Einstein Universe
• Gravity from thermodynamics in vacuum: Lorentz invariance and the role of Bel-Robinson tensor
• Cardy-Verlinde formula for an axially symmetric dilaton-axion black hole
• Refined Thermodynamic Analysis of Perfect Fluid Dark Matter Black Holes in a Phantom Background
• Cooling-Heating Properties of the FRW Universe in Gravity with a Generalized Conformal Scalar Field
• Thermodynamic analysis of a compact object in Rastall-Rainbow gravity
• Logarithmic corrections to entropy for black holes with hyperbolic horizon
• Hawking radiation of rotating BTZ Black hole based on modified dispersion relation and Rarita-Schwinger equation
• Thermodynamics and phase transitions of black holes in contact with a gravitating heat bath
• Phantom BTZ Black Holes: Thermal Properties Under Perturbative Corrections
• Thermodynamic geometric analysis of RN black holes under f(R) gravity
• Corrections to the Black hole entropy from a Bose Einstein condensate: a semi-classical phenomenological approach
• Thermodynamic Phase Transitions and Quantum Entropy Corrections in the Simpson-Visser Regular Black Hole
• Thermodynamics of Black Holes: Semi-Classical Approaches and Beyond
• Quantum gravitational corrections to Reissner-Nordström black hole thermodynamics and their implications for the weak gravity conjecture
• Holographic bound in covariant loop quantum gravity
• Horizon Dynamics of a BTZ Black Hole
• A winding number analysis of Schwarzschild black hole stability in light of Planck-scale modified kinematics