Thermodynamics of noncommutative de Sitter spacetime

Details Thermodynamics of noncommutative de Sitter spacetime Thermodynamics of noncommutative de Sitter spacetime

2008-04-28

arxiv.org/abs/0804.4326v1

Int.J.Mod.Phys.D18:159-171,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, no figures, accepted for publication in IJMPD

Scientific paper

10.1142/S0218271809014297

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.

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