skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Density fluctuations in a {kappa}-deformed inflationary universe

Abstract

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.

Authors:
; ;  [1]
  1. Department of Physics, Yonsei University, Seoul 120-749 (Korea, Republic of)
Publication Date:
OSTI Identifier:
20711550
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 72; Journal Issue: 10; Other Information: DOI: 10.1103/PhysRevD.72.103523; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
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

Citation Formats

Kim, Hyeong-Chan, Yee, Jae Hyung, Rim, Chaiho, and Department of Physics and Research Institute of Physics and Chemistry, Chonbuk National University, Chonju 561-756. Density fluctuations in a {kappa}-deformed inflationary universe. United States: N. p., 2005. Web. doi:10.1103/PhysRevD.72.103523.
Kim, Hyeong-Chan, Yee, Jae Hyung, Rim, Chaiho, & Department of Physics and Research Institute of Physics and Chemistry, Chonbuk National University, Chonju 561-756. Density fluctuations in a {kappa}-deformed inflationary universe. United States. https://doi.org/10.1103/PhysRevD.72.103523
Kim, Hyeong-Chan, Yee, Jae Hyung, Rim, Chaiho, and Department of Physics and Research Institute of Physics and Chemistry, Chonbuk National University, Chonju 561-756. 2005. "Density fluctuations in a {kappa}-deformed inflationary universe". United States. https://doi.org/10.1103/PhysRevD.72.103523.
@article{osti_20711550,
title = {Density fluctuations in a {kappa}-deformed inflationary universe},
author = {Kim, Hyeong-Chan and Yee, Jae Hyung and Rim, Chaiho and Department of Physics and Research Institute of Physics and Chemistry, Chonbuk National University, Chonju 561-756},
abstractNote = {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.},
doi = {10.1103/PhysRevD.72.103523},
url = {https://www.osti.gov/biblio/20711550}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 10,
volume = 72,
place = {United States},
year = {Tue Nov 15 00:00:00 EST 2005},
month = {Tue Nov 15 00:00:00 EST 2005}
}