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

Abstract

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.

10 pages, two references added

References in corpus (7)

• Quantum-corrected black hole thermodynamics to all orders in the Planck length
• Black hole thermodynamics with generalized uncertainty principle
• Interpretation of Quantum Field Theories with a Minimal Length Scale
• Entropy of the Schwarzschild black hole to all orders in the Planck length
• Entropy of the Randall-Sundrum brane world with the generalized uncertainty principle
• Entropy of Reissner-Nordstrom Black Holes with Minimal Length Revisited
• Entropy of a charged black hole in two dimensions without cutoff

Cited by in corpus (2)

• Singular inverse square potential in arbitrary dimensions with a minimal length: Application to the motion of a dipole in a cosmic string background
• Entropy of the Randall-Sundrum black brane world to all orders in the Planck length