The Cardy–verlinde Formula and Asymptotically Flat Charged Black Holes

Abstract

We show that the modified Cardy-Verlinde formula without the Casimir effect term is satisfied by asymptotically flat charged black holes in arbitrary dimensions. Thermodynamic quantities of the charged black holes are shown to satisfy the energytemperature relation of a two-dimensional CFT, which supports the claim in our previous work (Phys. Rev. D61, 044013, hep-th/9910244) that thermodynamics of charged black holes in higher dimensions can be effectively described by two-dimensional theories. We also check the Cardy formula for the two-dimensional black hole compactified from a dilatonic charged black hole in higher dimensions.

The Cardy–Verlinde formula and topological AdS–Schwarzschild black holes

“…This result is later shown to hold for the holographic duals to various bulk backgrounds [4,5,6,7,8,9,10,11]. The quantum effects to the Cardy-Verlinde formula were studied in Refs.…”

Semiclassical Corrections to the Cardy–verlinde Formula of Kerr Black Holes

“…This result holds also for various charged black hole solution with asymptotically flat spacetime [31]. We are interested primarily in the corrections to the entropy (5) that arise in the context of KKW analysis [2]- [6] .…”

Holography of AdS Hairy Black Holes and Cardy-Verlinde Formula

“…However, it was checked for many examples of black holes, e.g. in AdS [29][30][31], dS [32,33], and flat spacetime [34,35]. Particularly, Cai has checked a variant of this formula for a family of hairy charged black holes in AdS [29].…”