2009

Black Holes in Gravity with Conformal Anomaly and Logarithmic Term in Black Hole Entropy

Cai, Rong-Gen, Cao, Li-Ming, Ohta, Nobuyoshi

Understand

We present a class of exact analytic and static, spherically symmetric black hole solutions in the semi-classical Einstein equations with Weyl anomaly.

  • The solutions have two branches, one is asymptotically flat and the other asymptotically de Sitter.
  • We study thermodynamic properties of the black hole solutions and find that there exists a logarithmic correction to the well-known Bekenstein-Hawking area entropy.
  • The logarithmic term might come from non-local terms in the effective action of gravity theories.

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