Tests of Quantum Gravity via Generalized Uncertainty Principle

Abstract

In this paper we propose a way of determining the subleading corrections to the Bekenstein-Hawking black hole entropy by considering a modified generalized uncertainty principle with two parameters. In the context of modified generalized uncertainty principle, coefficients of the correction terms of black hole entropy are written in terms of combination of the parameters. We also calculate corrections to the Stefan-Boltzman law of Hawking radiation corresponding to modified generalized uncertainty principle. By comparing the entropy with one from black holes in string theory compactified on a Calabi-Yau manifold, we point out that the topological information of the compactified space can not easily be related to the parameters in modified generalized uncertainty principle.

16 pages, 2 figures

References in corpus (1)

• Non-commutative multi-dimensional cosmology

Cited by in corpus (4)

• Quantum-corrected black hole thermodynamics to all orders in the Planck length
• Thermodynamics of a black hole based on a generalized uncertainty principle
• Entropy of the Schwarzschild black hole to all orders in the Planck length
• Thermodynamics of (2+1)-dimensional acoustic black hole based on the generalized uncertainty principle