Black holes in gravity with conformal anomaly and logarithmic term in black hole entropy

By R. Cai, Li-Ming Cao, N. Ohta. 2009

170 citations recorded by the source corpus.

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. The appearance of the logarithmic term in the gravity side is quite important in the sense that with this term one is able to compare black hole entropy up to the subleading order, in the gravity side and in the microscopic statistical interpretation side.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/1ba559cab58b3902ff9a105a8b0b526932e46998

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Citations in the corpus

The 4D Einstein–Gauss–Bonnet theory of gravity: a review (2022, background): “Second, these 4DEGB black hole solutions are exactly the same as solutions that appear in other contexts, namely by considering gravity with a conformal anomaly [235, 236], entropy corrections to the black hole entropy [237] and more interestingly as a solution to the proposed UV completion of gravi”
Rotating black holes in 4D Einstein-Gauss-Bonnet gravity and its shadow (2020, methodology): “Lanczos [2] and Lovelock [3], in their pioneering works, showed that the gravitational action of EGB gravity admits quadratic corrections constructed from the curvature tensors invariants with action given by SEGB = 1 16πGD ∫ dDx √ −g(LEH + αLGB), (1.1) with LEH = R, LGB = RµνρσRµνρσ − 4RµνRµν +R2, ”
Charged black holes in AdS spaces in 4D Einstein Gauss-Bonnet gravity (2020, methodology): “Remarkably, this BH solution had been found initially in gravity with a conformal anomaly [14,15] and in gravity with quantum corrections [16,17].”
Extended thermodynamics and microstructures of four-dimensional charged Gauss-Bonnet black hole in AdS space (2020, background): “It is worth to point out that this GB black hole solution has the same form withthe one obtained in a conformal anomaly gravity [50, 51], while the parameter has different meanings.”
Gravitational lensing by black holes in the 4D Einstein-Gauss-Bonnet gravity (2020, methodology): “Furthermore, the semi-classical Einstein equations with conformal anomaly proportional to Euler density G [43, 44] and the 4D non-relativistic Horava-Lifshitz theory of gravity [45] also admit the identical spherically symmetric black hole solution.”