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

Tunneling and entropy analysis of parameterized black hole with rotating case

“…The entropy corrections via null geodesic technique has been studied by Banerjee and Majhi [34]- [36]. We investigate the entropy corrections for parameterized BH with rotation parameter by utilizing the formula of Bekenstein-Hawking entropy for 1 st order corrections [37]. By using the expressions of T ′ H and standard entropy S T , we calculate the logarithmic entropy corrections for parameterized BH with rotation parameter through the given formula…”

Tunneling and entropy analysis of parameterized black hole with rotating case

“…The entropy corrections via null geodesic technique has been studied by Banerjee and Majhi [34][35][36]. We investigate the entropy corrections for parameterized BH with rotation parameter by utilizing the formula of Bekenstein-Hawking entropy for 1st order corrections [37]. By using the expressions of T H ¢ and standard entropy T  , we calculate the logarithmic entropy corrections for parameterized BH with rotation parameter through the given formula…”

Consequences of thermal fluctuations of well-known black holes in modified gravity

“…Now, we investigate the global stability of the charged AdS BH with a global monopole by using the Gibbs free energy or free energy in the grand canonical ensemble. The Gibbs free energy can be derived by using equation (19). The expression for the Gibbs free energy of the…”

“…Entropy corrections for Schwarzschild BHs has been found by putting it in the center of a spherical cavity of finite radius to achieve equilibrium with surroundings [17]. In a massive theory of gravity, the effects of the quantum fluctuations has been analyzed for a charged BTZ BH in asymptotically AdS and dS spacetimes [18,19]. The effects of thermal fluctuations on charged ADS BHs and modified Hayward BHs have been investigated in the recent work [20,21].…”