Cosmological Constant and Noncommutative Spacetime

Details Cosmological Constant and Noncommutative Spacetime Cosmological Constant and Noncommutative Spacetime

2005-10-19

arxiv.org/abs/hep-th/0510165v1

Europhys.Lett.77:19902,2007

Physics

High Energy Physics

High Energy Physics - Theory

7 pages

Scientific paper

10.1209/0295-5075/77/19002

We show that the cosmological constant appears as a Lagrange multiplier if nature is described by a canonical noncommutative spacetime. It is thus an arbitrary parameter unrelated to the action and thus to vacuum fluctuations. The noncommutative algebra restricts general coordinate transformations to four-volume preserving noncommutative coordinate transformations. The noncommutative gravitational action is thus an unimodular noncommutative gravity. We show that spacetime noncommutativity provides a very natural justification to an unimodular gravity solution to the cosmological problem. We obtain the right order of magnitude for the critical energy density of the universe if we assume that the scale for spacetime noncommutativity is the Planck scale.

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