Black Holes with a Generalized Gravitational Action

Details Black Holes with a Generalized Gravitational Action Black Holes with a Generalized Gravitational Action

1993-01-26

arxiv.org/abs/gr-qc/9301021v2

Phys.Rev.D47:3095-3098,1993

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

plain tex(uses phyzzx.tex), 8 pages, CALT-68-1850

Scientific paper

10.1103/PhysRevD.47.R3095

Microscopic black holes are sensitive to higher dimension operators in the gravitational action. We compute the influence of these operators on the Schwarzschild solution using perturbation theory. All (time reversal invariant) operators of dimension six are included (dimension four operators don't 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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