Thermodynamics of higher dimensional black holes with higher order thermal fluctuations

Abstract

In this paper, we consider higher order corrections of the entropy, which coming from thermal fluctuations, and find their effect on the thermodynamics of higher dimensional charged black holes. Leading order thermal fluctuation is logarithmic term in the entropy while higher order correction is proportional to the inverse of original entropy. We calculate some thermodynamics quantities and obtain the effect of logarithmic and higher order corrections of entropy on them. Validity of the first law of thermodynamics investigated and Van der Waals equation of state of dual picture studied. We find that five-dimensional black hole behaves as Van der Waals, but higher dimensional case have not such behavior. We find that thermal fluctuations are important in stability of black hole hence affect unstable/stable black hole phase transition.

arXiv comment27 pages, 19 figures

References in corpus (61)

• The Large N Limit of Superconformal Field Theories and Supergravity
• The Black Hole in Three Dimensional Space Time
• Thermodynamics of Spacetime: The Einstein Equation of State
• Entropy and Area
• Holographic Superconductors
• Black hole entropy in Loop Quantum Gravity
• Black Hole Entropy in M-Theory
• Black Holes in Higher Dimensions
• Black Hole Entropy from Loop Quantum Gravity
• General Logarithmic Corrections to Black Hole Entropy
• Hawking Radiation and Black Hole Thermodynamics
• Reissner-Nordstrom black hole lensing
• Instability of Ultra-Spinning Black Holes
• Black Hole Thermodynamics
• Black Holes in String Theory
• Phase transition and Thermodynamical geometry of Reissner-Nordström-AdS Black Holes in Extended Phase Space
• Entropy of Null Surfaces and Dynamics of Spacetime
• On the log correction to the black hole area law
• Thermal Fluctuations in a Charged AdS Black Hole
• Universal canonical black hole entropy
• P - V Criticality of Logarithmic Corrected Dyonic Charged AdS Black Hole
• Effects of Thermal Fluctuations on the Thermodynamics of Modified Hayward Black Hole
• Power-law corrections to entanglement entropy of horizons
• The generalized second law in universes with quantum corrected entropy relations
• Black Hole Thermodynamics in MOdified Gravity (MOG)
• Thermodynamics of a Sufficient Small Singly Spinning Kerr-AdS Black Hole
• On the Effective Metric of a Planck Star
• Stability of multidimensional black holes: complete numerical analysis
• Logarithmic corrections of charged hairy black hole in (2+1) dimension
• Stability of higher dimensional Reissner-Nordstrom-anti-de Sitter black holes
• P-V criticality of first-order entropy corrected AdS black holes in massive gravity
• Charged BTZ black holes in the context of massive gravity's rainbow
• Quantum gravity effects on Hořava-Lifshitz black hole
• Higher Order Corrections to Black Hole Entropy
• Drag Force of Moving Quark at The N=2 Supergravity
• Charged black hole with a scalar hair in (2+1) dimensions
• Instability of D-dimensional extremally charged Reissner-Nordstrom(-de Sitter) black holes: Extrapolation to arbitrary D
• Effect of Thermal Fluctuations on a Charged Dilatonic Black Saturn
• Thermal Fluctuations in a Hyperscaling Violation Background
• Corrections Terms for the Thermodynamics of a Black Saturn
• Rotating charged hairy black hole in (2+1) dimensions and particle acceleration
• Testing Quantum Gravity through Dumb Holes
• Thermodynamics of Schrödinger black holes with hyperscaling violation
• Novel rotating hairy black hole in (2+1)-dimensions
• Black Hole Thermodynamics and Statistical Mechanics
• Black-hole thermodynamics and renormalization
• Collapsing and static thin massive charged dust shells in a Reissner-Nordström black hole background in higher dimensions
• Instability of de Sitter Reissner-Nordstrom black hole in the 1/D expansion
• The lower bound violation of shear viscosity to entropy ratio due to logarithmic correction in STU model
• Area spectrum of the d-dimensional Reissner-Nordstrom black hole in the small charge limit
• Extended phase space thermodynamics and $P-V$ criticality of charged black holes in Brans-Dicke theory
• Thermodynamics of a Schwarzschild Black Hole in Phantom Cosmology with Entropy Corrections
• Thermodynamics of string black hole with hyperscaling violation
• The effect of higher derivative correction on $\eta /s$ and conductivities in STU model
• The Klein-Gordon Equation of a Rotating Charged Hairy Black Hole in (2+1) Dimensions
• Area(or Entropy) Product Formula for a Regular Black Hole
• Cosmic String in the BTZ Black Hole Background with Time-Dependant Tension
• Phase transition and thermodynamic stability in extended phase space and charged Hořava-Lifshitz black holes
• Hawking Radiation Power Equations for Black Holes
• Fermions Tunneling from Higher-Dimensional Reissner-Nordström Black Hole: Semiclassical and Beyond Semiclassical Approximation
• Entropy of Extremal Black Holes in Two Dimension

Cited by in corpus (23)

• Perturbed thermodynamics of charged black hole solution in Rastall theory
• Non-Pertubative Quantum Corrections to a Born-Infeld Black Hole and its Information Geometry
• 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
• 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
• Thermal fluctuations to thermodynamics of non-rotating BTZ black hole
• Thermal Fluctuations Evolution of the New Schwarzschild Black Hole
• Black Holes with MDRs and Bekenstein-Hawking and Perelman Entropies for Finsler-Lagrange-Hamilton Spaces
• Quantum corrections to a finite temperature BIon
• Non-perturbative correction to the Horava-Lifshitz black hole thermodynamics
• Thermodynamic curvature of AdS black holes with dark energy
• Thermal fluctuations of black holes with non-linear electrodynamics and charged Renyi entropy
• Quantum corrected thermodynamics and $P-V$ criticality of self-gravitating Skyrmion black holes
• Nonassociative black holes in R-flux deformed phase spaces and relativistic models of G. Perelman thermodynamics
• Energy stored on a cosmological horizon and its thermodynamic fluctuations in holographic equipartition law
• Thermodynamics of Black holes With Higher Order Corrected Entropy
• Building a linear equation of state for trapped gravitons from finite size effects and the Schwarzschild black hole case
• Resolving the information loss paradox from the five-dimensional minimal supergravity black hole
• The temperature and entropy corrections on the charged hairy black holes
• Tipler Naked Singularities in $N$ Dimensions
• Stable remnants and quantum gravity effects in non linear electric source Culetu black hole
• Corrections to the Black hole entropy from a Bose Einstein condensate: a semi-classical phenomenological approach