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

2007/01/12 by Deo, B. B., Jena, P. K.
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.hep-th/0701118

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 (1)/(r³) term arising from the strong interaction. The resulting entropy-area relation agrees with the Bekenstein-Hawking relation.

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