### Abstract

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.

Original language | English |
---|---|

Article number | 057 |

Journal | Journal of High Energy Physics |

Volume | 2007 |

Issue number | 4 |

DOIs | |

Publication status | Published - 2007 Apr 1 |

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### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Cite this

*Journal of High Energy Physics*,

*2007*(4), [057]. https://doi.org/10.1088/1126-6708/2007/04/057

}

*Journal of High Energy Physics*, vol. 2007, no. 4, 057. https://doi.org/10.1088/1126-6708/2007/04/057

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

Research output: Contribution to journal › Article

TY - JOUR

T1 - Entropy function and universal entropy of two-dimensional extremal black holes

AU - Hyun, Seungjoon

AU - Kim, Wontae

AU - Oh, John J.

AU - Son, Edwin J.

PY - 2007/4/1

Y1 - 2007/4/1

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=34247850920&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34247850920&partnerID=8YFLogxK

U2 - 10.1088/1126-6708/2007/04/057

DO - 10.1088/1126-6708/2007/04/057

M3 - Article

VL - 2007

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 4

M1 - 057

ER -