Logarithmic correction to BH entropy as Noether charge

R. Aros, D. E. Díaz, A. Montecinos

Resultado de la investigación: Article

12 Citas (Scopus)

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 originalEnglish
Número de artículo012
PublicaciónJournal of High Energy Physics
Volumen2010
N.º7
DOI
EstadoPublished - 2010

Huella dactilar

entropy
anomalies
horizon
Einstein equations
curvature
formalism
coefficients

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Citar esto

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

En: Journal of High Energy Physics, Vol. 2010, N.º 7, 012, 2010.

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

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DO - 10.1007/JHEP07(2010)012

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JO - Journal of High Energy Physics

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