Tilted non-spatially-flat inflation

Abstract

We construct non-linear inflaton potential energy densities that describe not-necessarily very-slowly-rolling closed and open inflation models, and compute tilted primordial spatial inhomogeneity power spectra that follow from quantum mechanical fluctuations during inflation in these models. Earlier non-flat inflation model power spectra computations assumed an inflaton potential energy density with a linear slope that resulted in very-slow-roll during inflation and untilted power spectra. These new tilted power spectra differ from those that have previously been used to study cosmological data in non-flat cosmological models.

14 pages. PRD accepted version, minor changes

References in corpus (38)

• Measurements of the Hubble Constant: Tensions in Perspective
• Hubble parameter measurement constraints on the redshift of the deceleration-acceleration transition, dynamical dark energy, and space curvature
• Eppur è piatto? The cosmic chronometer take on spatial curvature and cosmic concordance
• Measuring the Hubble constant with Type Ia supernovae as near-infrared standard candles
• A blinded determination of $H_0$ from low-redshift Type Ia supernovae, calibrated by Cepheid variables
• Ultra-compact structure in intermediate-luminosity radio quasars: building a sample of standard cosmological rulers and improving the dark energy constraints up to $z\sim 3$
• Using Pantheon and DES supernova, baryon acoustic oscillation, and Hubble parameter data to constrain the Hubble constant, dark energy dynamics, and spatial curvature
• The $L-\sigma$ relation for massive bursts of star formation
• An independent determination of the local Hubble constant
• Determining the range of validity of quasar X-ray and UV flux measurements for constraining cosmological model parameters
• Standardizing Platinum Dainotti-correlated gamma-ray bursts, and using them with standardized Amati-correlated gamma-ray bursts to constrain cosmological model parameters
• Recombination-independent determination of the sound horizon and the Hubble constant from BAO
• Constraining cosmic curvature by using age of galaxies and gravitational lenses
• Quasar standardization: Overcoming Selection Biases and Redshift Evolution
• Spectral analysis of Fermi-LAT gamma-ray bursts with known redshift and their potential use as cosmological standard candles
• Full-Shape Galaxy Power Spectra and the Curvature Tension
• Measuring cosmological parameters with a luminosity-time correlation of gamma-ray bursts
• Independent Cosmological Constraints from high-z HII Galaxies
• Cosmological constraints from HII starburst galaxy apparent magnitude and other cosmological measurements
• Implication of Dark Energy Parametrizations on the Determination of the Curvature of the Universe
• Inflation in a closed universe
• The resilience of the Etherington-Hubble relation
• Gamma-ray burst data strongly favor the three-parameter fundamental plane (Dainotti) correlation relation over the two-parameter one
• Generalized tracker quintessence models for dark energy
• Gamma ray burst constraints on cosmological models from the improved Amati correlation
• $E_{\mathrm{iso}}$-$E_{\mathrm{p}}$ correlation of gamma ray bursts: calibration and cosmological applications
• Constraining the curvature density parameter in cosmology
• Standardizing reverberation-measured C IV time-lag quasars, and using them with standardized Mg II quasars to constrain cosmological parameters
• The improved Amati correlations from Gaussian copula
• Exploring the Hubble Tension and Spatial Curvature from the Ages of Old Astrophysical Objects
• Consistency study of high- and low-accreting Mg ii quasars: No significant effect of the Fe ii to Mg ii flux ratio on the radius-luminosity relation dispersion
• Can the Distance-Redshift Relation Be Determined from Correlations Between Luminosities?
• Cosmological Constraints on Non-flat Exponential $f(R)$ Gravity
• Multiple measurements of quasars acting as standard probes: model independent calibration and exploring the Dark Energy Equation of States
• A 4% measurement of $H_0$ using the cumulative distribution of strong-lensing time delays in doubly-imaged quasars
• Imprint of spatial curvature on inflation power spectrum
• The Hubble constant and dark energy from cosmological distance measures
• Standardizing reverberation-measured Mg II time-lag quasars, by using the radius-luminosity relation, and constraining cosmological model parameters

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