Entropy Function and Universal Entropy of Two-Dimensional Extremal Black Holes

Details Entropy Function and Universal Entropy of Two-Dimensional Extremal Black Holes Entropy Function and Universal Entropy of Two-Dimensional Extremal Black Holes

2007-02-21

arxiv.org/abs/hep-th/0702170v2

JHEP 0704:057,2007

Physics

High Energy Physics

High Energy Physics - Theory

13 pages; v2. version to appear in JHEP

Scientific paper

10.1088/1126-6708/2007/04/057

The entropy for two-dimensional black holes is obtained through the entropy function with the condition that the geometry approaches an $AdS_2$ spacetime in the near horizon limit. It is shown that the entropy is universal and proportional to the value of the dilaton field at the event horizon as expected. We find this universal behavior holds even after the inclusion of higher derivative terms, only modifying the proportional constant. More specifically, a variety of models of the dilaton gravity in two dimensions are considered, in which it is shown that the universal entropy coincides with the well-known results in the previous literatures.

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