Second-order corrections to noncommutative spacetime inflation

Abstract

We investigate how the uncertainty of noncommutative spacetime affects on inflation. For this purpose, the noncommutative parameter ${\mu }_0$ is taken to be a zeroth order slow-roll parameter. We calculate the noncommutative power spectrum up to second order using the slow-roll expansion. We find corrections arisen from a change of the pivot scale and the presence of a variable noncommutative parameter, when comparing with the commutative power spectrum. The power-law inflation is chosen to obtain explicit forms for the power spectrum, spectral index, and running spectral index. In cases of the power spectrum and spectral index, the noncommutative effect of higher-order corrections compensates for a loss of higher-order corrections in the commutative case. However, for the running spectral index, all higher-order corrections to the commutative case always provide negative spectral indexes, which could explain the recent WMAP data.

15 pages, no figure, version published in PRD

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Cited by in corpus (24)

• Noncommutative Geometry and Cosmology
• Frame-dependence of higher-order inflationary observables in scalar-tensor theories
• Observational constraints on patch inflation in noncommutative spacetime
• Inflationary universe in loop quantum cosmology
• Noncommutative Conformally Coupled Scalar Field Cosmology and its Commutative Counterpart
• Noncommutative models in patch cosmology
• Strong Planck constraints on braneworld and non-commutative inflation
• Inflation parameters from Gauss-Bonnet braneworld
• A Note on Curvature Fluctuation of Noncommutative Inflation
• Gravitational Collapse of a Homogeneous Scalar Field in Deformed Phase Space
• Second-Order Corrections to the Power Spectrum in the Slow-Roll Expansion with a Time-Dependent Sound Speed
• Noncommutative Black-Body Radiation: Implications On Cosmic Microwave Background
• Black-Body Radiation Of Noncommutative Gauge Fields
• Cosmological parameters in the noncommutative inflation
• Generalized Space-time Noncommutative Inflation
• A Note on Noncommutative Brane Inflation
• Noncommutative KKLMMT Model
• WKB-type Approximation to Noncommutative Quantum Cosmology
• Test of patch cosmology with WMAP
• Gauss-Bonnet braneworld and WMAP three year results
• Complete noncommutativity in a cosmological model with radiation
• Flow equations in generalized braneworld scenarios
• Slow-roll reconstruction for running spectral index
• Cosmological constraints from Gauss-Bonnet braneworld with large-field potentials