Extremal limits and black hole entropy
Jan, 200911 pages
Published in:
- JHEP 11 (2009) 109
e-Print:
- 0901.0931 [hep-th]
Report number:
- CALT-68-2717
View in:
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Abstract: (arXiv)
Taking the extremal limit of a non-extremal Reissner-Nordstr\'om 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 . In other words, the approach to extremality is not continuous, as the non-extremal Reissner-Nordstr\'om solution splits into two spacetimes at extremality: an extremal black hole and a disconnected space. We suggest that the unusual nature of this limit may help in understanding the entropy of extremal black holes.- black hole: entropy
- black hole: Reissner-Nordstroem
- space-time: anti-de Sitter
- Einstein-Maxwell equation: solution
- compactification
References(41)
Figures(3)