The semiclassical corrections to the Cardy-Verlinde entropy of a five-dimensional Schwarzschild de-Sitter black hole ( SdS _ { 5 } ) are explicitly evaluated .
These corrections are considered within the context of KKW analysis and arise as a result of the self-gravitation effect .
In addition , a four-dimensional spacelike brane is considered as the boundary of the SdS _ { 5 } bulk background .
It is already known that the induced geometry of the brane is exactly given by that of a radiation-dominated FRW universe .
By exploiting the CFT/FRW-cosmology relation , we derive the self-gravitational corrections to the first Friedmann-like equation which is the equation of the brane motion .
The additional term that arises due to the semiclassical analysis can be viewed as stiff 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 _ { 5 } bulk black hole as the source for stiff matter .
Furthermore , we rewrite the Friedmann-like equation in a such way that it represents the conservation equation of energy of a point particle moving in a one-dimensional effective potential .
The self-gravitational corrections to the effective potential and , consequently , to the point particle ’ s motion are obtained .
A short analysis on the asymptotic behavior of the 4 -dimensional brane is presented .