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}.

EPL Style, 4 pages

References in corpus (3)

• Universal Area Product Formulae for Rotating and Charged Black Holes in Four and Higher Dimensions
• Inner Cauchy horizon of axisymmetric and stationary black holes with surrounding matter in Einstein-Maxwell theory
• Thermodynamic Product Formula for Hořava Lifshitz Black Hole