Higher Order Corrections to Black Hole Entropy

Abstract

A scheme for calculating corrections to all orders to the entropy of any thermodynamic system due to statistical fluctuations around equilibrium has been developed. It is then applied to the BTZ black hole, AdS-Schwarzschild black Hole and Schwarzschild black Hole in a cavity. The scheme that we present is a model-independent scheme and hence universally applicable to all classical black holes with positive specific heat. It has been seen earlier that the microcanonical entropy of a system can be more accurately reproduced by considering a logarithmic correction to the canonical entropy function. The higher order corrections will be a step further in calculating the microcanonical entropy of a black hole.

9 pages, Revised version to appear in Classical and Quantum Gravity

Cited by in corpus (39)

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• Corrected entropy of BTZ black hole in tunneling approach
• On the Thermodynamic Geometry of BTZ Black Holes
• Voros product, Noncommutative Schwarzschild Black Hole and Corrected Area Law
• Exact Differential and Corrected Area Law for Stationary Black Holes in Tunneling Method
• P-V criticality of first-order entropy corrected AdS black holes in massive gravity
• Quantum gravity effects on Hořava-Lifshitz black hole
• Thermodynamics of higher dimensional black holes with higher order thermal fluctuations
• Geometric description of BTZ black holes thermodynamics
• Glassy Phase Transition and Stability in Black Holes
• Higher order corrected thermodynamics and statistics of Kerr-Newman-Godel black hole
• Thermal Fluctuations in a Hyperscaling Violation Background
• Logarithmic corrected Van der Waals black holes in higher dimensional AdS space
• Thermodynamics of Higher Order Entropy Corrected Schwarzschild-Beltrami-de Sitter Black Hole
• 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
• Quantum Tunneling, Blackbody Spectrum and Non-Logarithmic Entropy Correction for Lovelock Black Holes
• Exponential corrected thermodynamics of black holes
• Thermal fluctuations, quasi-normal modes and phase transition of the charged AdS black hole with perfect fluid dark matter
• Thermodynamic Variables of First-Order Entropy Corrected Lovelock-AdS Black Holes : P-V Criticality Analysis
• Thermal fluctuations of (non)linearly charged BTZ black hole in massive gravity
• Quantum Fluctuations from Thermal Fluctuations in Jacobson Formalism
• Quantum corrections to a finite temperature BIon
• Non-perturbative correction to the Horava-Lifshitz black hole thermodynamics
• Geometrothermodynamic Analysis and $P$-$V$ criticality of Higher Dimensional Charged Gauss-Bonnet Black Holes With First Order Entropy Correction
• Quantum corrected thermodynamics and $P-V$ criticality of self-gravitating Skyrmion black holes
• Higher order quantum corrections of rotating BTZ black hole
• An Application of Lorentz Invariance Violation in Black Hole Thermodynamics
• Energy stored on a cosmological horizon and its thermodynamic fluctuations in holographic equipartition law
• Bouncing universe of entropy-corrected Friedmann equations
• Thermodynamics of Black holes With Higher Order Corrected Entropy
• Thermodynamics of deformed AdS-Schwarzschild black holes in the presence of Thermal fluctuations
• Thermodynamic Stability of the Stationary Lifshitz Black Hole of New Massive Gravity
• Logarithmic corrections to black hole and black ring entropy in tunneling approach
• Stable remnants and quantum gravity effects in non linear electric source Culetu black hole
• The effect of the WGC condition on the maximal energy extracted from black holes
• The temperature and entropy corrections on the charged hairy black holes
• Back reaction, covariant anomaly and effective action
• GUP corrections to black hole thermodynamics in the extended phase space approach