Logarithmic Corrections to the Black Hole Entropy Product of ${\mathcal{H}}^{\pm }$ via Cardy Formula

Abstract

We compute the logarithmic corrections to black hole (BH) entropy product of ${\mathcal{H}}^{\pm }$ \footnote{ ${\mathcal{H}}^{+}$ and ${\mathcal{H}}^{-}$ denote outer (event) horizon and inner (Cauchy) horizons} by using \emph{Cardy prescription}. We particularly apply this formula for \emph{BTZ BH}. We speculate that the logarithmic corrections to entropy product of ${\mathcal{H}}^{\pm }$ when computed \emph{via Cardy formula} the product should be neither \emph{mass-independent (universal)} nor be \emph{quantized}.

arXiv commentEPL Style, 4 pages

References in corpus (31)

• The Black Hole in Three Dimensional Space Time
• Microscopic Origin of the Bekenstein-Hawking Entropy
• Black Hole Entropy from Near-Horizon Microstates
• Quantum Geometry and Black Hole Entropy
• Logarithmic correction to the Bekenstein-Hawking entropy
• Logarithmic Corrections to Black Hole Entropy from the Cardy Formula
• General Logarithmic Corrections to Black Hole Entropy
• Black Hole Entropy from Conformal Field Theory in Any Dimension
• Entropy from Conformal Field Theory at Killing Horizons
• Conformal Field Theory, (2+1)-Dimensional Gravity, and the BTZ Black Hole
• Conformal description of horizon's states
• What We Don't Know about BTZ Black Hole Entropy
• Global Charges in Chern-Simons theory and the 2+1 black hole
• Universal Area Product Formulae for Rotating and Charged Black Holes in Four and Higher Dimensions
• Logarithmic correction to the Bekenstein-Hawking entropy of the BTZ black hole
• A String Model of Black Hole Microstates
• Quantum Black Hole Entropy
• Universal properties and the first law of black hole inner mechanics
• Inner Cauchy horizon of axisymmetric and stationary black holes with surrounding matter in Einstein-Maxwell theory
• Inner Mechanics of 3d Black Holes
• Area products for stationary black hole horizons
• A new holographic entropy bound from quantum geometry
• Black Hole Entropy from Horizon Conformal Field Theory
• Black Hole Interior Mass Formula
• Are quantization rules for horizon areas universal?
• Thermodynamic Product Formula for Hořava Lifshitz Black Hole
• Black Hole Entropy from Spin One Punctures
• Area(or Entropy) Product Formula for a Regular Black Hole
• Entropy Product Formula for spinning BTZ Black Hole
• Geometric relations for rotating and charged AdS black holes
• Logarithmic Corrections in Black Hole Entropy Product Formula

Cited by in corpus (1)

• CFT duals on extremal rotating NUT black hole