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Energy spectrum of gravitational waves in a loop quantum cosmological model

João Morais^1,*, Mariam Bouhmadi-López^2,3,†, and Alfredo B. Henriques^1,‡

¹Centro Multidisciplinar de Astrofísica - CENTRA, Departamento de Física, Instituto Superior Técnico, Avenida Rovisco Pais 1, 1049-001 Lisboa, Portugal
²Department of Theoretical Physics, University of the Basque Country UPV/EHU, P.O. Box 644, 48080 Bilbao, Spain
³IKERBASQUE, Basque Foundation for Science, 48011 Bilbao, Spain

^*joao.morais@ist.utl.pt
^†mariam.bouhmadi@ehu.es
^‡alfredo.henriques@fisica.ist.utl.pt

Phys. Rev. D 89, 023513 – Published 15 January, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.023513

Abstract

We explore the consequences of loop quantum cosmology (inverse-volume corrections) in the spectrum of the gravitational waves using the method of the Bogoliubov coefficients. These corrections are taken into account at the background level of the theory as well as at the first order in the perturbations theory framework. We show that these corrections lead to an intense graviton production during the loop superinflationary phase prior to the standard slow-roll era, which leave their imprints through new features on the energy spectrum of the gravitational waves as would be measured today, including a new maximum on the low frequency end of the spectrum.

Article Text

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