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

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

2007-01-12

arxiv.org/abs/hep-th/0701118v4

Physics

High Energy Physics

High Energy Physics - Theory

13 pages

Scientific paper

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

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