THERMODYNAMICS OF NONCOMMUTATIVE DE SITTER SPACE–TIME

2008/04/28 by B. Vakili, B. VAKILI, N. Khosravi +3
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #gr-qc #hep-ph #hep-th

paper · pdf · doi:10.1142/s0218271809014297

published as Int.J.Mod.Phys.D18:159-171,2009 · 11 pages, no figures, accepted for publication in IJMPD

arxiv created 2008/04/28 · openalex publication_date 2009/01/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We study the effects of noncommutativity of space–time geometry on the thermodynamical properties of the de Sitter horizon. We show that noncommutativity results in modifications in temperature, entropy and vacuum energy and that these modifications are of order of the Planck scale, suggesting that the size of the noncommutative parameter should be close to that of the Planck. In an alternative way to deal with noncommutativity, we obtain a quantization rule for the entropy. Since noncommutativity in space–time geometry modifies the Heisenberg algebra and introduces the general uncertainty principle, we also investigate the above problem in this framework.

Citations

• Schwarzschild Black Hole in Noncommutative Spaces
• Quantum Fields in Curved Space
• Black hole thermodynamics with generalized uncertainty principle
• The four laws of black hole mechanics
• Noncommutative geometry inspired Schwarzschild black hole
• Particle creation by black holes
• Generalized second law of thermodynamics in black-hole physics
• Black Holes and Entropy
• Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale