Cosmological perturbations of a perfect fluid and noncommutative variables

Details Cosmological perturbations of a perfect fluid and noncommutative variables Cosmological perturbations of a perfect fluid and noncommutative variables

2009-08-24

arxiv.org/abs/0908.3439v2

Phys.Rev.D81:063527,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, uses RevTeX. Title modified, references and comments added.

Scientific paper

10.1103/PhysRevD.81.063527

We describe the linear cosmological perturbations of a perfect fluid at the level of an action, providing thus an alternative to the standard approach based only on the equations of motion. This action is suited not only to perfect fluids with a barotropic equation of state, but also to those for which the pressure depends on two thermodynamical variables. By quantizing the system we find that (1) some perturbation fields exhibit a noncommutativity quite analogous to the one observed for a charged particle moving in a strong magnetic field, (2) local curvature and pressure perturbations cannot be measured simultaneously, (3) ghosts appear if the null energy condition is violated.

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