Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-09-05
JHEP 0801:034,2008
Physics
High Energy Physics
High Energy Physics - Theory
14 pages, LaTeX, some references added and more explanations on GUP included. Some errors and typos refined. To appear in JHEP
Scientific paper
10.1088/1126-6708/2008/01/034
We derive the formula of the black hole entropy with a minimal length of the Planck size by counting quantum modes of scalar fields in the vicinity of the black hole horizon, taking into account the generalized uncertainty principle (GUP). This formula is applied to some intriguing examples of black holes - the Schwarzschild black hole, the Reissner-Nordstrom black hole, and the magnetically charged dilatonic black hole. As a result, it is shown that the GUP parameter can be determined by imposing the black hole entropy-area relationship, which has a Planck length scale and a universal form within the near-horizon expansion.
Kim Wontae
Oh John J.
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