Logarithmic correction to the Cardy–Verlinde formula in topological Reissner–Nordström de Sitter space

Abstract

In this Letter we compute the leading order correction due to small statistical fluctuations around equilibrium, to the CardyVerlinde entropy formula (which is supposed to be an entropy formula of conformal field theory in any dimension) of a topological Reissner-Nordström black hole in de Sitter space.

Logarithmic correction to the Cardy-Verlinde formula in Achúcarro-Oritz black hole

“…As a result the Cardy-Verlinde formula receive logarithmic corrections in our interest Achucarro-Oritz black hole background in two dimension, in the way similar to the Cardy-Verlinde formula for the SAdS and SdS black holes in 5-dimension [77,79] also for TRNdS black holes in any dimension [80]. It is easily seen that the logarithmic prefactor is negative and therefore the thermal corrections are also negative.…”

Quantum Corrections for a Black Hole in an Asymptotically Safe Gravity with Higher Derivatives

“…Clearly the first two terms in the above expansion is the usual Hawking entropy-area relation (15). The third term is the leading term which is logarithmic as has been found earlier for other geometries using different methods [4][5][6][7][8][9][10][11][12][13][14][15].…”

Correction value to charged Bekenstein-Hawking black hole entropy

“…After considering the correction to the black hole thermodynamic quantities due to thermal fluctuation, the expression of the entropy is [41][42][43][44] 2 1 ln ln( )…”