Entropy function and universal entropy of two-dimensional extremal black holes

Seungjoon Hyun, Wontae Kim, John J. Oh, Edwin J. Son

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

The entropy for two-dimensional black holes is obtained through the entropy function with the condition that the geometry approaches an AdS2 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.

Original languageEnglish
Article number057
JournalJournal of High Energy Physics
Volume2007
Issue number4
DOIs
Publication statusPublished - 2007 Apr 1

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entropy
event horizon
horizon
inclusions
gravitation
geometry

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Cite this

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Entropy function and universal entropy of two-dimensional extremal black holes. / Hyun, Seungjoon; Kim, Wontae; Oh, John J.; Son, Edwin J.

In: Journal of High Energy Physics, Vol. 2007, No. 4, 057, 01.04.2007.

Research output: Contribution to journalArticle

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AB - The entropy for two-dimensional black holes is obtained through the entropy function with the condition that the geometry approaches an AdS2 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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