Logarithmic correction of the BTZ black hole and adaptive model of Graphene

Abstract

It is known that almost all approaches to quantum gravity produce a logarithmic correction term to the entropy of a black hole, but the exact coefficient of such a term varies between the different approach to quantum gravity. Such logarithmic terms can also occur due to thermal fluctuations in both analogous and real black holes so that we will analyze the effects of logarithmic corrections term with variable coefficient on properties of analogous black hole. As these properties can be experimentally tested, they can be used to obtain the correct coefficient for such terms for an analogous black hole. We will argue that as even the real black holes can be considered as thermodynamical objects in Jacobson formalism, so such analogous black holes can be used to obtain the correct coefficient for the real black holes, and this in turn can be used to select the correct approach to quantum gravity. In that case, we use an adaptive model of graphene, which is still far from real graphene, to investigate some thermodynamics quantities of BTZ black hole.

arXiv comment17 pages, 5 figures. Accepted for publication in IJMPD

References in corpus (39)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Graphene: Status and Prospects
• The Black Hole in Three Dimensional Space Time
• Thermodynamics of Spacetime: The Einstein Equation of State
• Thermal properties of graphene: Fundamentals and applications
• First Law of Thermodynamics and Friedmann Equations of Friedmann-Robertson-Walker Universe
• General Logarithmic Corrections to Black Hole Entropy
• Logarithmic Corrections to Schwarzschild and Other Non-extremal Black Hole Entropy in Different Dimensions
• Logarithmic correction to the Bekenstein-Hawking entropy of the BTZ black hole
• Thermal Fluctuations in a Charged AdS Black Hole
• P - V Criticality of Logarithmic Corrected Dyonic Charged AdS Black Hole
• Effects of Thermal Fluctuations on the Thermodynamics of Modified Hayward Black Hole
• Quantum field theory in curved graphene spacetimes, Lobachevsky geometry, Weyl symmetry, Hawking effect, and all that
• Entropy of Schwarzschild black hole and string-black hole correspondence
• Two-Dimensional Dilatonic Black Holes and Hawking Radiation
• The Hawking-Unruh phenomenon on graphene
• GUP-Corrected Thermodynamics for all Black Objects and the Existence of Remnants
• Thermodynamics of a Sufficient Small Singly Spinning Kerr-AdS Black Hole
• Statistical Entropy of a Stationary Dilaton Black Hole from Cardy Formula
• 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
• Graphene and the Zermelo Optical Metric of the BTZ Black Hole
• Quantum gravity effects on Hořava-Lifshitz black hole
• No Existence of Black Holes at LHC Due to Minimal Length in Quantum Gravity
• Weyl-Gauge Symmetry of Graphene
• Thermal Fluctuations in a Hyperscaling Violation Background
• Effect of Thermal Fluctuations on a Charged Dilatonic Black Saturn
• Corrections Terms for the Thermodynamics of a Black Saturn
• Curved Spacetimes and Curved Graphene: a status report of the Weyl-symmetry approach
• Testing Quantum Gravity through Dumb Holes
• Punctuated eternal inflation via AdS/CFT
• The lower bound violation of shear viscosity to entropy ratio due to logarithmic correction in STU model
• A cosmological model for corrugated graphene sheets
• Using Weyl symmetry to make Graphene a real lab for fundamental physics
• Current density and conductivity through modified gravity in the graphene with defects
• On Black Hole Entropy Corrections in the Grand Canonical Ensemble
• Note on Hawking-Unruh effects in graphene
• Higher order quantum corrections of rotating BTZ black hole

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• Leading-order corrections to the thermodynamics of Rindler modified Schwarzschild black hole
• Electronic states in a quantum Beltrami surface
• Energy spectrum of massive Dirac particles in gapped graphene with Morse potential
• The temperature and entropy corrections on the charged hairy black holes
• Stable remnants and quantum gravity effects in non linear electric source Culetu black hole
• Electronic states in a bilayer graphene quantum ripple