Black holes with a generalized gravitational action.

Physics

Scientific paper

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Black Holes: Thermodynamics

Scientific paper

Microscopic black holes are sensitive to higher-dimension operators in the gravitational action. The authors compute the influence of these operators on the Schwarzschild solution using perturbation theory. All operators of dimension six are included (dimension four operators do not alter the Schwarzschild solution). Corrections to the relation between the Hawking temperature and the black hole mass are found. The entropy is calculated using the Gibbons - Hawking prescription for the Euclidean path integral, and using naive thermodynamic reasoning. These two methods agree; however, the entropy is not equal to 1/4 the area of the horizon.

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