Derivation of the Entropy-Area relation for the Extremal Black Hole in Four Dimensions

摘要

The relation between entropy and the area of the event horizon of a quantumblackhole in four dimensions is derived. The Reissner-Nordstrom metric for anon-rotating, charged black hole is shown to be modified by the addition of anew $\frac{1}{r^3}$ term arising from the strong interaction. The resultingentropy-area relation agrees with the Bekenstein-Hawking relation.