Logarithmic correction to BH entropy as Noether charge
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Fecha
2010
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Profesor/a Guía
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Idioma
en
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Editor
Springer Verlag
Nombre de Curso
Licencia CC
Licencia CC
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 Sbh = AH 4 − a · χH · φH involving the coefficient a of the type-A trace anomaly, the Euler characteristic χH of the horizon and the value at the horizon φH 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.
Notas
Indexación: Springer
Palabras clave
Black Holes, Anomalies in Field, String Theories
Citación
Journal of high energy physics, vol. 7, 2010.