Density fluctuations in a {kappa}-deformed inflationary universe

Journal Article · Tue Nov 15 04:00:00 EST 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.72.103523· OSTI ID:20711550

Kim, Hyeong-Chan; Yee, Jae Hyung; Rim, Chaiho ^[1]

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1. Department of Physics, Yonsei University, Seoul 120-749 (Korea, Republic of)

We study the spectrum of metric fluctuation in {kappa}-deformed inflationary universe. We write the theory of scalar metric fluctuations in the {kappa}-deformed Robertson-Walker space, which is represented as a nonlocal theory in the conventional Robertson-Walker space. One important consequence of the deformation is that the mode generation time is naturally determined by the structure of the {kappa}-deformation. We expand the nonlocal action in H{sup 2}/{kappa}{sup 2}, with H being the Hubble parameter and {kappa} the deformation parameter, and then compute the power spectra of scalar metric fluctuations both for the cases of exponential and power law inflations up to the first order in H{sup 2}/{kappa}{sup 2}. We show that the power spectra of the metric fluctuation have nontrivial corrections on the time dependence and on the momentum dependence compared to the commutative space results. Especially for the power law inflation case, the power spectrum for UV modes is weakly blueshifted early in the inflation and its strength decreases in time. The power spectrum of far-IR modes has cutoff proportional to k{sup 3} which may explain the low cosmic microwave background (CMB) quadrupole moment.

• OSTI ID: 20711550
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 10 Vol. 72; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CORRECTIONS
COSMIC RADIATION
COSMOLOGY
DEFORMATION
DENSITY
FLUCTUATIONS
INFLATIONARY UNIVERSE
QUADRUPOLE MOMENTS
RADIOWAVE RADIATION
RELICT RADIATION
SCALARS
TIME DEPENDENCE