Entropy for dilatonic black hole
A. Ghosh, P. Mitra (Saha Institute of Nuclear Physics)
TL;DR
This paper extends the entropy area formula to dilatonic black holes, calculates scalar field entropy semiclassically, and explores the unique case where extremal black holes have zero area but nonzero entropy.
Contribution
It introduces an extension of the entropy formula to dilatonic black holes and analyzes the semiclassical scalar field entropy, highlighting the extremal case anomaly.
Findings
Entropy formula extended to dilatonic black holes
In extremal case, entropy remains nonzero despite zero area
Area and cutoff dependencies are normal except in extremal case
Abstract
The area formula for entropy is extended to the case of a dilatonic black hole. The entropy of a scalar field in the background of such a black hole is calculated semiclassically. The area and cutoff dependences are normal {\it except in the extremal case}, where the area is zero but the entropy nonzero.
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