Extremal Limits and Black Hole Entropy
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https://doi.org/10.1088/1126-6708/2009/11/109Metadata
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Carroll, Sean, Matthew C. Johnson, and Lisa Randall. 2009. Extremal limits and black hole entropy. Journal of High Energy Physics 2009(11): 109.Abstract
Taking the extremal limit of a non-extremal Reissner-Nordstrom black hole (by externally varying the mass or charge), the region between the inner and outer event horizons experiences an interesting fate--while this region is absent in the extremal case, it does not disappear in the extremal limit but rather approaches a patch of \(AdS_2 \times S^2\). In other words, the approach to extremality is not continuous, as the non-extremal Reissner-Nordstrom solution splits into two spacetimes at extremality: an extremal black hole and a disconnected \(AdS\) space. We suggest that the unusual nature of this limit may help in understanding the entropy of extremal black holes.Other Sources
http://arxiv.org/abs/0901.0931Terms of Use
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