Thermodynamics of noncommutative de Sitter spacetime

Abstract

We study the effects of noncommutativity of spacetime 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 spacetime geometry modifies the Heisenberg algebra and introduces the general uncertainty principle, we also investigate the above problem in this framework.

11 pages, no figures, accepted for publication in IJMPD

References in corpus (21)

• Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale
• Generalized Uncertainty Principle in Quantum Gravity from Micro-Black Hole Gedanken Experiment
• Noncommutative geometry inspired Schwarzschild black hole
• Generalized Lorentz invariance with an invariant energy scale
• Gravity and the Thermodynamics of Horizons
• Thermodynamic Behavior of Friedmann Equation at Apparent Horizon of FRW Universe
• Friedmann Equations of FRW Universe in Scalar-tensor Gravity, f(R) Gravity and First Law of Thermodynamics
• Thermodynamics of an accelerated expanding universe
• Black hole thermodynamics with generalized uncertainty principle
• Gravity and the Quantum
• A model of radiating black hole in noncommutative geometry
• A phenomenological description of quantum-gravity-induced space-time noise
• Spacetime in String Theory
• Hawking radiation from black holes in de Sitter spaces
• Thermodynamics of an Evaporating Schwarzschild Black Hole in Noncommutative Space
• A glimpse at the flat-spacetime limit of quantum gravity using the Bekenstein argument in reverse
• On the Existence of the Logarithmic Correction Term in Black Hole Entropy-Area Relation
• Quantum-Corrected Black Hole Thermodynamics in Extra Dimensions
• Gibbs' paradox and black-hole entropy
• Schwarzschild Black Hole in Noncommutative Spaces
• The Event Horizon of The Schwarzschild Black Hole in Noncommutative Spaces

Cited by in corpus (5)

• Strong gravitational lensing in a noncommutative black-hole spacetime
• Supersonic Velocities in Noncommutative Acoustic Black Holes
• Probing spacetime noncommutative constant via charged astrophysical black hole lensing
• Holographic thermalization in noncommutative geometry
• Scalar field in the Bianchi I: Non commutative classical and Quantum Cosmology