CFT and Logarithmic Corrections to the Black Hole Entropy Product Formula

Abstract

We examine the logarithmic corrections to the black hole (BH) entropy product formula of outer horizon and inner horizon by taking into account the \emph{effects of statistical quantum fluctuations around the thermal equilibrium} and \emph{via conformal field theory} (CFT). We argue that logarithmic corrections to the BH entropy product formula when calculated using CFT and taking into the effects of quantum fluctuations around the thermal equilibrium, the formula should \emph{not be universal} and it should also \emph{not be quantized}. These results have been explicitly checked by giving several examples.

Version accepted in AHEP

References in corpus (6)

• Quantum Gravity at a Lifshitz Point
• Spectral Dimension of the Universe in Quantum Gravity at a Lifshitz Point
• Inner Cauchy horizon of axisymmetric and stationary black holes with surrounding matter in Einstein-Maxwell theory
• Thermodynamic Product Formula for Hořava Lifshitz Black Hole
• Area(or Entropy) Product Formula for a Regular Black Hole
• Logarithmic Corrections in Black Hole Entropy Product Formula

Cited by in corpus (4)

• Consequences of Thermal Fluctuations of Well-Known Black Holes in Modified Gravity
• Evaluation of physical properties of Kiselev like AdS spacetime in the context of $f(R,T)$ gravity under the impact of quantum gravity
• First-order correction of tunneling and entropy in the Horndeski gravity-like hairy black hole
• Tunneling and entropy analysis of parameterized black hole with rotating case