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arXiv · 0908.3439

Cosmological perturbations of a perfect fluid and noncommutative variables

Antonio De Felice·Jean-Marc Gerard·Teruaki Suyama
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Abstract

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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Antonio De Felice, Jean-Marc Gerard, Teruaki Suyama. 2009-08-24. Cosmological perturbations of a perfect fluid and noncommutative variables. https://doi.org/10.1103/physrevd.81.063527

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