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The semiclassical corrections to the Cardy-Verlinde entropy of afive-dimensional Schwarzschild de-Sitter black hole (SdS_5) are explicitlyevaluated. These corrections are considered within the context of KKW analysisand arise as a result of the self-gravitation effect. In addition, afour-dimensional spacelike brane is considered as the boundary of the SdS_5bulk background. It is already known that the induced geometry of the brane isexactly given by that of a radiation-dominated FRW universe. By exploiting theCFT/FRW-cosmology relation, we derive the self-gravitational corrections to thefirst Friedmann-like equation which is the equation of the brane motion. Theadditional term that arises due to the semiclassical analysis can be viewed asstiff matter where the self-gravitational corrections act as the source for it.This result is contrary to standard analysis that regards the charge of SdS_5bulk black hole as the source for stiff matter. Furthermore, we rewrite theFriedmann-like equation in a such way that it represents the conservationequation of energy of a point particle moving in a one-dimensional effectivepotential. The self-gravitational corrections to the effective potential and,consequently, to the point particle's motion are obtained. A short analysis onthe asymptotic behavior of the 4-dimensional brane is presented.Comment: 16 pages, LaTeX; (v2) references added and correcte

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

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