Abstract
The formalism of Darmois-Israel is used to calculate the entropy of a thin spherical shell that contracts from infinity down to near its gravitational radius. It was found that the entropy contained in the thin shell is proportional to the horizon area depending on the number of species N, the distance own above the horizon α and two constants C1 and C2 which can be measured observationally. Certain thermodynamic parameters were calculated, when thin shell it is near the horizon of events for a static space-time, this parameters are agree with reported.