Exponential corrected thermodynamics of black holes
arXiv:2010.03946 · doi:10.1088/1742-5468/ac0f6a
Abstract
Recently, it is reported that thermal fluctuations, which are interpreted as quantum effects, modify the black holes entropy by an exponential term. We now find the effect of such modification on the black hole mass and other thermodynamics quantities. We find that the Schwarzschild black hole mass decreased by thermal fluctuations. Hence, we study exponential corrected thermodynamics and statistics of black holes by computing the partition function. We obtain the special condition on the event horizon radius to satisfy Smarr-Gibbs-Duhem relation in the presence of quantum correction. As we know, the Schwarzschild black hole is unstable, while the effect of exponential correction is the stability of Schwarzschild black hole as well as the Schwarzschild-AdS black hole at a small area. On the other hand, a Schwarzschild black hole is completely unstable. The effect of the quantum correction on the Reissner-Nordström black hole is instability at quantum scales. Finally, we consider the most general case of charged AdS black hole and study the corrected thermodynamics.
arXiv comment29 pages, 15 figures
References in corpus (61)
- Microscopic Origin of the Bekenstein-Hawking Entropy
- Black hole entropy in Loop Quantum Gravity
- Logarithmic correction to the Bekenstein-Hawking entropy
- General Logarithmic Corrections to Black Hole Entropy
- Hawking Radiation and Black Hole Thermodynamics
- Counting Dyons in N=4 String Theory
- Universality of Quantum Entropy for Extreme Black Holes
- Logarithmic Corrections to N=4 and N=8 Black Hole Entropy: A One Loop Test of Quantum Gravity
- Thermal Fluctuations in a Charged AdS Black Hole
- Corrected entropy of BTZ black hole in tunneling approach
- P - V Criticality of Logarithmic Corrected Dyonic Charged AdS Black Hole
- Effects of Thermal Fluctuations on the Thermodynamics of Modified Hayward Black Hole
- Nonperturbative black hole entropy and Kloosterman sums
- An Exact Black Hole Entropy Bound
- Thermodynamics of a Sufficient Small Singly Spinning Kerr-AdS Black Hole
- Logarithmic Corrections to Black Hole Entropy and AdS/CFT Correspondence
- Logarithmic corrections of charged hairy black hole in (2+1) dimension
- Charged BTZ black holes in the context of massive gravity's rainbow
- P-V criticality of first-order entropy corrected AdS black holes in massive gravity
- Quantum gravity effects on Hořava-Lifshitz black hole
- Exponential corrections to black hole entropy
- Higher Order Corrections to Black Hole Entropy
- Thermodynamics of higher dimensional black holes with higher order thermal fluctuations
- Holographic Principle and String Cosmology
- Black Hole evaporation: A Perspective from Loop Quantum Gravity
- Holographic Principle in the Closed Universe : a Resolution with Negative Pressure Matter
- Glassy Phase Transition and Stability in Black Holes
- Quantum Fluctuations of a BTZ Black Hole in Massive Gravity
- Quantum corrections to thermodynamics of quasitopological black holes
- Higher order corrected thermodynamics and statistics of Kerr-Newman-Godel black hole
- 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
- Corrections Terms for the Thermodynamics of a Black Saturn
- Generalized Uncertainty Principle in three-dimensional gravity and the BTZ black hole
- STU/QCD Correspondence
- Perturbed thermodynamics of charged black hole solution in Rastall theory
- Asymptotic Expansion of the N=4 Dyon Degeneracy
- BTZ black holes in massive gravity
- Logarithmic Corrections to Entropy of Magnetically Charged AdS4 Black Holes
- Testing Quantum Black Holes with Gravitational Waves
- Logarithmic corrected Van der Waals black holes in higher dimensional AdS space
- Testing Quantum Gravity through Dumb Holes
- Generalizations of the Smarr formula for black holes with nonlinear electromagnetic fields
- Thermodynamics of Higher Order Entropy Corrected Schwarzschild-Beltrami-de Sitter Black Hole
- Non-Pertubative Quantum Corrections to a Born-Infeld Black Hole and its Information Geometry
- An Introduction to Black Hole Evaporation
- PV criticality of the second order quantum corrected Horava-Lifshitz black hole
- The lower bound violation of shear viscosity to entropy ratio due to logarithmic correction in STU model
- A Smarr formula for charged black holes in nonlinear electrodynamics
- Thermodynamics of five-dimensional Schwarzschild black holes in the canonical ensemble
- Logarithmic correction of the BTZ black hole and adaptive model of Graphene
- Thermodynamics of Large AdS Black Holes
- Thermodynamics of -dimensional Schwarzschild black holes in the canonical ensemble
- Logarithmic Corrections to Black Hole Entropy: the Non-BPS Branch
- Quantum Fluctuations from Thermal Fluctuations in Jacobson Formalism
- Quantum corrections to a finite temperature BIon
- Thermodynamics and galactic clustering with a modified gravitational potential
- Black holes and holography
- Higher order quantum corrections of rotating BTZ black hole
- Entropy of Extremal Black Holes in Two Dimensions
Cited by in corpus (10)
- Thermodynamics and Shadows of quantum-corrected Reissner-Nordström black hole surrounded by quintessence
- Lorentz Symmetry Violation in Charged Black Hole Thermodynamics and Gravitational Lensing: Effects of the Kalb-Ramond Field
- Exploring Non-perturbative Corrections in Thermodynamics of Static Dirty Black Holes
- Non-perturbative correction to the Horava-Lifshitz black hole thermodynamics
- Quantum Thermodynamics of an M2-M5 Brane System
- On the microstructure of higher-dimensional Reissner-Nordström black holes in quantum regime
- Information Theoretical Approach to Detecting Quantum Gravitational Corrections
- Bulk-Boundary Thermodynamics of Charged Black Holes in Higher Derivative Theory
- Exponential correction to Friedmann equations
- Exploring non-perturbative effects on quasi-topological black hole thermodynamics