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

Abstract

In this paper we calculate leading order correction due to small statistical fluctuations around equilibrium, to the Bekenstein-Hawking entropy formula for the Achucarro-Oritz black hole, which is the most general two-dimensional black hole derived from the three-dimensional rotating Banados-Teitelboim-Zanelli black hole. Then we obtain the same correction to the Cardy-Verlinde entropy formula (which is supposed to be an entropy formula of conformal field theory in any dimension). *

Corrected entropy of BTZ black hole in tunneling approach

“…as may be checked on exploiting the equations (18), (20). Now, in order to calculate the entropy (S), (17) has to be solved. Here we follow the general procedure for solving any exact first order differential equation,…”

SELF-GRAVITATIONAL CORRECTIONS TO THE CARDY–VERLINDE FORMULA AND THE FRW BRANE COSMOLOGY IN SdS5 BULK

“…Black hole thermodynamic quantities depend on the Hawking temperature via the usual thermodynamic relations. The Hawking temperature undergoes corrections from many sources: the quantum corrections [13]- [19], the self-gravitational corrections [20,21], and the corrections due to the generalized uncertainty principle [22,23]. Concerning the quantum process called Hawking effect [24] much work has been done using a fixed background during the emission process.…”

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( )…”