Entropy of (2+1)-dimensional de Sitter black hole to all orders in the Planck length

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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10 pages, two references added

Scientific paper

10.1103/PhysRevD.77.067501

We calculate the statistical entropy of a scalar field on the background of
(2+1)-dimensional de Sitter space without an artificial cutoff considering
corrections to all orders in the Planck length from a generalized uncertainty
principle (GUP) on the quantum state density. The desired entropy proportional
to the horizon perimeter is obtained.

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