Entropy of the Randall-Sundrum black brane world to all orders in the Planck length

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We study the effects, to all orders in the Planck length from a generalized uncertainty principle (GUP), on the statistical entropy of massive scalar bulk fields in the Randall-Sundrum black brane world. We show that the Bekenstein-Hawking area law is not preserved, and contains small corrections terms proportional to the black hole inverse area.
19 pages, 1 figure. (v2): section 4 improved

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