Reexamination of inflation in noncommutative space-time after Planck results

Abstract

An inflationary model in the framework of noncommutative space-time may generate a nontrivial running of the scalar spectral index, but usually induces a large tensor-to-scalar ratio simultaneously. With the latest observational data from the Planck mission, we reexamine the inflationary scenarios in a noncommutative space-time. We find that either the running of the spectral index is tiny compared with the recent observational result, or the tensor-to-scalar ratio is too large to allow a sufficient number of $e$-folds. As examples, we show that the chaotic and power-law inflation models with the noncommutative effects are not favored by the current Planck data.

8 pages, 4 figures; version published in Physical Review D

References in corpus (9)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Probing Noncommutativity with Inflationary Gravitational Waves
• Brane Inflation After WMAP Three Year Results
• A Note on Noncommutative Brane Inflation
• Generalized Space-time Noncommutative Inflation
• Noncommutative chaotic inflation and WMAP three year results
• Running Spectral Index in Noncommutative Inflation and WMAP Three Year Results
• Noncommutative KKLMMT Model
• Confronting brane inflation with Planck and pre-Planck data

Cited by in corpus (7)

• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Strong Planck constraints on braneworld and non-commutative inflation
• Constraints on brane inflation after Planck 2015: Impacts of the latest local measurement of the Hubble constant
• Exploring the thermodynamics of non-commutative scalar fields
• Complete noncommutativity in a cosmological model with radiation
• Modified Lorentz transformations in deformed special relativity
• Inflation on a Non-Commutative Space-Time