### Resumen

We consider the role of the type-A trace anomaly in static black hole solutions to semiclassical Einstein equations in four dimensions. Via Wald's Noether charge formalism, we compute the contribution to the entropy coming from the anomaly induced effective action and unveil a logarithmic correction to the Bekenstein-Hawking area law. The corrected entropy is given by a seemingly universal formula involving the coefficient a of the type-A trace anomaly, the Euler characteristic χ _{H} of the horizon and the value at the horizon φ _{H} of the solution to the uniformization problem for Q-curvature. Two instances are examined in detail: Schwarzschild and a four-dimensional massless topological black hole. We also find agreement with the logarithmic correction due to one-loop contribution of conformal fields in the Schwarzschild background.

Idioma original | English |
---|---|

Número de artículo | 012 |

Publicación | Journal of High Energy Physics |

Volumen | 2010 |

N.º | 7 |

DOI | |

Estado | Published - 2010 |

### Huella dactilar

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Citar esto

*Journal of High Energy Physics*,

*2010*(7), [012]. https://doi.org/10.1007/JHEP07(2010)012

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*Journal of High Energy Physics*, vol. 2010, n.º 7, 012. https://doi.org/10.1007/JHEP07(2010)012

**Logarithmic correction to BH entropy as Noether charge.** / Aros, R.; Díaz, D. E.; Montecinos, A.

Resultado de la investigación: Article

TY - JOUR

T1 - Logarithmic correction to BH entropy as Noether charge

AU - Aros, R.

AU - Díaz, D. E.

AU - Montecinos, A.

PY - 2010

Y1 - 2010

N2 - We consider the role of the type-A trace anomaly in static black hole solutions to semiclassical Einstein equations in four dimensions. Via Wald's Noether charge formalism, we compute the contribution to the entropy coming from the anomaly induced effective action and unveil a logarithmic correction to the Bekenstein-Hawking area law. The corrected entropy is given by a seemingly universal formula involving the coefficient a of the type-A trace anomaly, the Euler characteristic χ H of the horizon and the value at the horizon φ H of the solution to the uniformization problem for Q-curvature. Two instances are examined in detail: Schwarzschild and a four-dimensional massless topological black hole. We also find agreement with the logarithmic correction due to one-loop contribution of conformal fields in the Schwarzschild background.

AB - We consider the role of the type-A trace anomaly in static black hole solutions to semiclassical Einstein equations in four dimensions. Via Wald's Noether charge formalism, we compute the contribution to the entropy coming from the anomaly induced effective action and unveil a logarithmic correction to the Bekenstein-Hawking area law. The corrected entropy is given by a seemingly universal formula involving the coefficient a of the type-A trace anomaly, the Euler characteristic χ H of the horizon and the value at the horizon φ H of the solution to the uniformization problem for Q-curvature. Two instances are examined in detail: Schwarzschild and a four-dimensional massless topological black hole. We also find agreement with the logarithmic correction due to one-loop contribution of conformal fields in the Schwarzschild background.

KW - Anomalies in field and string theories

KW - Black holes

UR - http://www.scopus.com/inward/record.url?scp=77955004829&partnerID=8YFLogxK

U2 - 10.1007/JHEP07(2010)012

DO - 10.1007/JHEP07(2010)012

M3 - Article

AN - SCOPUS:77955004829

VL - 2010

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 7

M1 - 012

ER -