Loop quantum cosmology and tensor perturbations in the early universe

Details Loop quantum cosmology and tensor perturbations in the early universe Loop quantum cosmology and tensor perturbations in the early universe

2008-10-23

arxiv.org/abs/0810.4330v3

Adv.Sci.Lett.2:184,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages; v3: typos corrected. Invited contribution to the special issue of Advanced Science Letters on "Quantum gravity, Cosm

Scientific paper

We study the tensor modes of linear metric perturbations within an effective framework of loop quantum cosmology. After a review of inverse-volume and holonomy corrections in the background equations of motion, we solve the linearized tensor modes equations and extract their spectrum. Ignoring holonomy corrections, the tensor spectrum is blue tilted in the near-Planckian superinflationary regime and may be observationally disfavoured. However, in this case background dynamics is highly nonperturbative, hence the use of standard perturbative techniques may not be very reliable. On the other hand, in the quasi-classical regime the tensor index receives a small negative quantum correction, slightly enhancing the standard red tilt in slow-roll inflation. We discuss possible interpretations of this correction, which depends on the choice of semiclassical state.

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