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

B. B. Deo·P. K. Jena
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Abstract

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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B. B. Deo, P. K. Jena. 2009-07-03. Derivation of the Entropy-Area relation for the Extremal Black Hole in Four Dimensions. https://arxiv.org/abs/hep-th/0701118

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