Exploring trans-Planckian physics and the curvature effect by primordial power spectrum with WMAP five-year data

Abstract

The vacuum inflation with a boundary condition specified at a short-distance scale in a generally primeval non-flat Universe, and implications of the correspondingly modified primordial power spectrum via the WMAP data are investigated. We obtain a general form of the modified primordial power spectrum including the effects of both possibly new physics scale and the spatial curvature. The modulation of the primordial power spectrum due to new physics is of the order $H/\Lambda$, where $H$ is the Hubble parameter during inflation and $\Lambda$ is the new physics scale that is key to inflation, while the modulation from the curvature effect is of the order $K/k^2$, where $K$ is the spatial curvature before inflation and $k$ is the comoving wave number. We also find that a closed Universe before inflation is favored by WMAP five-year data.

6 pages, 2 figures; v4: accepted by IJMPD

References in corpus (39)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• Cosmological parameters from CMB and other data: a Monte-Carlo approach
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• A Model of Holographic Dark Energy
• Particle Physics Models of Inflation and the Cosmological Density Perturbation
• Reconstructing the Inflaton Potential --- an Overview
• The Trans-Planckian Problem of Inflationary Cosmology
• A note on inflation and transplanckian physics
• Unified phantom cosmology: inflation, dark energy and dark matter under the same standard
• The Robustness of Inflation to Changes in Super-Planck-Scale Physics
• An Open Universe from Inflation
• Inflation as a Probe of Short Distance Physics
• Signatures of Short Distance Physics in the Cosmic Microwave Background
• A generic estimate of trans-Planckian modifications to the primordial power spectrum in inflation
• Perturbation spectrum in inflation with cutoff
• Noncommutative Spacetime, Stringy Spacetime Uncertainty Principle, and Density Fluctuations
• Is the Low CMB Quadrupole a Signature of Spatial Curvature?
• Searching for CPT Violation with Cosmic Microwave Background Data from WMAP and BOOMERANG
• Robustness of the inflationary perturbation spectrum to trans-Planckian physics
• Imprints of Short Distance Physics On Inflationary Cosmology
• Remarks on Inflation and Noncommutative Geometry
• The influence of cosmological transitions on the evolution of density perturbations
• Relic Dark energy from Trans-Planckian Regime
• New Constraints on Oscillations in the Primordial Spectrum of Inflationary Perturbations
• Palatini Formulation of Modified Gravity with $\ln R$ Terms
• Trans-Planckian Effects in Inflationary Cosmology and the Modified Uncertainty Principle
• LARGE SCALE PERTURBATIONS IN THE OPEN UNIVERSE
• The Corley-Jacobson dispersion relation and trans-Planckian inflation
• Closed Universes, de Sitter Space and Inflation
• Power Spectra in Spacetime Noncommutative Inflation
• Temperature of the inflaton and duration of inflation from WMAP data
• Lectures on string theory and cosmology
• $R^2$ corrections to the cosmological dynamics of inflation in the Palatini formulation
• Palatini formulation of the $R^{-1}$modified gravity with an additionally squared scalar curvature term
• Can Planck-scale physics be seen in the cosmic microwave background ?
• An Observational Test of Quantum Cosmology
• Inflationary attractor in Gauss-Bonnet brane cosmology
• Noncommutative chaotic inflation and WMAP three year results
• CBR Temperature Fluctuations Induced by Gravitational Waves in a Spatially-Closed Inflationary Universe