Wald entropy of black holes: Logarithmic corrections and trace anomaly

Rodrigo Aros, Danilo E. Díaz, Alejandra Montecinos

Resultado de la investigación: Article

5 Citas (Scopus)

Resumen

Quantum effects due to conformal matter in a black hole background result in universal logarithmic corrections to black-hole entropy. The universality resides in the connection of the log term coefficient with those of type-A and type-B Weyl anomalies, regularization-scheme independent quantities. We presently study the case of extremal black holes within Wald's Noether charge formalism. In the conformal class of flat metrics, we are again able to unveil the log term in the entropy from the horizon value of the solution to the Q-curvature uniformization problem. Beyond conformally flat backgrounds, type-B Weyl anomaly becomes an obstruction to considering flat space as the fiducial metric and the search for a metric of constant Q-curvature remains open. Notwithstanding, by a uniform scaling argument we show that the results based on heat kernel and Euclidean computations (namely entropy function and conical defect) can also be derived as Wald entropy, that is, as Noether charge of the integrated anomaly or conformal index. We finally comment on the relation with entanglement entropy.

Idioma originalEnglish
Número de artículo104024
PublicaciónPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volumen88
N.º10
DOI
EstadoPublished - 21 nov 2013

Huella dactilar

entropy
anomalies
curvature
horizon
formalism
scaling
heat
defects
coefficients

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

Citar esto

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