Entropy of the Schwarzschild black hole to all orders in the Planck length

Details Entropy of the Schwarzschild black hole to all orders in the Planck length Entropy of the Schwarzschild black hole to all orders in the Planck length

2007-07-14

arxiv.org/abs/0707.2128v2

Phys.Lett.B655:172-177,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, 1 figure; Minor typos corrected, one reference added; Accepted for publication in Phys. Lett. B

Scientific paper

10.1016/j.physletb.2007.08.065

Considering corrections to all orders in the Planck length on the quantum
state density from a generalized uncertainty principle (GUP), we calculate the
statistical entropy of the scalar field on the background of the Schwarzschild
black hole without any cutoff. We obtain the entropy of the massive scalar
field proportional to the horizon area.

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