Statistical ensembles and logarithmic corrections to black hole entropy
arXiv:2307.00832 · doi:10.1088/1361-6382/acdbfe
Abstract
In this paper, we consider general statistical ensembles and compute logarithmic corrections to the microcanonical entropy resulting due to thermodynamic fluctuations which are controlled by the boundary conditions, i.e. due to choice of ensemble. The framework is applied to the case of non-extremal black holes to give certain logarithmic corrections to the Bekenstein-Hawking entropy. We argue that within the framework of black hole chemistry, where the cosmological constant is identified with bulk pressure, the isoenthalpic-isobaric entropy rather than microcanonical entropy carries a more natural and consistent thermodynamic interpretation as black hole entropy. Logarithmic corrections to both microcanonical and isoenthalpic-isobaric entropies of black holes are computed, and we show that the latter set of corrections in black hole chemistry are of the same form as corrections to the microcanonical entropy in theories where the cosmological constant is not interpreted as a thermodynamic pressure. Finally, we compute logarithmic corrections to entropy in the framework of holographic black hole chemistry. We emphasize upon the choice of statistical ensemble, both in the bulk and on the boundary, in order to have a consistent comparison between them. The corrections studied in this paper are distinct from those obtained from Euclidean quantum gravity.
References in corpus (63)
- The Black Hole in Three Dimensional Space Time
- Microscopic Origin of the Bekenstein-Hawking Entropy
- P-V criticality of charged AdS black holes
- Charged AdS Black Holes and Catastrophic Holography
- Enthalpy and the Mechanics of AdS Black Holes
- Black Hole Entropy from Near-Horizon Microstates
- Heat kernel expansion: user's manual
- Thermodynamics of Kerr-Newman-AdS Black Holes and Conformal Field Theories
- Holography, Thermodynamics and Fluctuations of Charged AdS Black Holes
- Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization
- D-brane Approach to Black Hole Quantum Mechanics
- Black hole entropy in Loop Quantum Gravity
- Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
- Pressure and volume in the first law of black hole thermodynamics
- Logarithmic correction to the Bekenstein-Hawking entropy
- The cosmological constant and the black hole equation of state
- D--branes and Spinning Black Holes
- Entropy and Temperature of Black 3-Branes
- AdS/CFT duality and the black hole information paradox
- Logarithmic Corrections to Black Hole Entropy from the Cardy Formula
- General Logarithmic Corrections to Black Hole Entropy
- Black Hole Entropy Function, Attractors and Precision Counting of Microstates
- Hawking Radiation and Black Hole Thermodynamics
- Black hole entropy from Quantum Geometry
- Quantum Tunneling Beyond Semiclassical Approximation
- Counting States of Near-Extremal Black Holes
- Entropy of Near-Extremal Black p-branes
- Statistical Entropy of Four-Dimensional Extremal Black Holes
- The Conical Singularity And Quantum Corrections To Entropy Of Black Hole
- Statistical interpretation of Bekenstein entropy for systems with a stretched horizon
- Logarithmic Corrections to Schwarzschild and Other Non-extremal Black Hole Entropy in Different Dimensions
- Compressibility of rotating black holes
- Black Holes in Gravity with Conformal Anomaly and Logarithmic Term in Black Hole Entropy
- Black hole entropy and SU(2) Chern-Simons theory
- On the log correction to the black hole area law
- Logarithmic correction to the Bekenstein-Hawking entropy of the BTZ black hole
- On one-loop renormalization of black-hole entropy
- Logarithmic Corrections to Extremal Black Hole Entropy from Quantum Entropy Function
- Holographic Thermodynamics Requires a Chemical Potential for Color
- Quantum Black Hole Entropy
- Logarithmic Corrections to Rotating Extremal Black Hole Entropy in Four and Five Dimensions
- Thermodynamics of AdS Black Holes: Central Charge Criticality
- An improved estimate of black hole entropy in the quantum geometry approach
- Holographic Black Hole Chemistry
- Microstates of a Neutral Black Hole in M Theory
- Conical geometry and quantum entropy of a charged Kerr black hole
- Further Evidence for the Conformal Structure of a Schwarzschild Black Hole in an Algebraic Approach
- Logarithmic Corrections to Black Hole Entropy and AdS/CFT Correspondence
- Bose condensation and branes
- A comment on black hole entropy or does Nature abhor a logarithm?
- Quantum Fluctuations of a BTZ Black Hole in Massive Gravity
- Mass and charge fluctuations and black hole entropy
- Counting black hole microscopic states in loop quantum gravity
- Black Hole Microstate Counting and its Macroscopic Counterpart
- Pressure and compressibility of conformal field theories from the AdS/CFT correspondence
- Instability of Super-Entropic Black Holes in Extended Thermodynamics
- Black hole thermodynamics is extensive with variable Newton constant
- Specific Heats and Schottky Peaks for Black Holes in Extended Thermodynamics
- On Black Hole Entropy Corrections in the Grand Canonical Ensemble
- Logarithmic corrections to the entropy function of black holes in the open ensemble
- Generalized Mirror Symmetry and Quantum Black Hole Entropy
- Novel logarithmic corrections to black hole entropy
- Logarithmic corrections to black hole entropy and holography
Cited by in corpus (4)
- Lorentz Symmetry Violation in Charged Black Hole Thermodynamics and Gravitational Lensing: Effects of the Kalb-Ramond Field
- Landauer's principle and black hole area quantization
- Relativistic Correction to Black Hole Entropy
- Topological dyonic black holes of massive gravity with generalized quasitopological electromagnetism