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Non-minimal coupling and quantum entropy of black hole
Sergey N. Solodukhin
Formulating the statistical mechanics for a scalar field with non-minimal coupling in a black hole background we propose modification of the original 't Hooft ``brick wall…
Quantum scalar field on three-dimensional (BTZ) black hole instanton: heat kernel, effective action and thermodynamics
Robert B. Mann, Sergey N. Solodukhin
We consider the behaviour of a quantum scalar field on three-dimensional Euclidean backgrounds: Anti-de Sitter space, the regular BTZ black hole instanton and the BTZ instanton wit…
Brick wall and quantum statistical entropy of black hole
Sergey Solodukhin
We discuss the statistical-mechanical entropy of black hole calculated according to 't Hooft. It is argued that in presence of horizon the statistical mechanics of quantum fields d…
Conical geometry and quantum entropy of a charged Kerr black hole
Robert B. Mann, Sergey N. Solodukhin
We apply the method of conical singularities to calculate the tree-level entropy and its one-loop quantum corrections for a charged Kerr black hole. The Euclidean geometry for the…
On One-loop Quantum Corrections to the Thermodynamics of Charged Black Holes
V. P. Frolov, W. Israel, S. N. Solodukhin
Quantum corrections are studied for a charged black hole in a two-dimensional model obtained by spherisymmetric reduction of the 4D Einstein-Maxwell theory. The classical (tree-lev…