Constraints on Pre-inflation Fluctuations in a Nearly Flat Open ΛCDM Cosmology

Abstract

We analyze constraints on parameters characterizing the pre-inflating universe in an open inflation model with a present slightly open $\Lambda$CDM universe. We employ an analytic model to show that for a broad class of inflation-generating effective potentials, the simple requirement that some fraction of the observed dipole moment represents a pre-inflation isocurvature fluctuation allows one to set upper and lower limits on the magnitude and wavelength scale of pre-inflation fluctuations in the inflaton field, and the curvature of the pre-inflation universe, as a function of the fraction of the total initial energy density in the inflaton field as inflation begins. We estimate that if the pre-inflation contribution to the current CMB dipole is near the upper limit set by the {\it Planck} Collaboration then the current constraints on $\Lambda$CDM cosmological parameters allow for the possibility of a significantly open ${\Omega }_i\le 0.4$ pre-inflating universe for a broad range of the fraction of the total energy in the inflaton field at the onset of inflation. This limit to ${\Omega }_i$ is even smaller if a larger dark-flow tilt is allowed.

8 pages, 2 figure

References in corpus (4)

• The peculiar velocity field: constraining the tilt of the Universe
• Probing the Dark Flow signal in WMAP 9 yr and PLANCK cosmic microwave background maps
• 'Tilting' the Universe with the Landscape Multiverse: The 'Dark' Flow
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Cited by in corpus (9)

• Introduction to Big Bang Nucleosynthesis and Modern Cosmology
• Cosmological solutions with gravitational particle production and non-zero curvature
• Beyond the Boost: Measuring the intrinsic dipole of the CMB using the spectral distortions of the monopole and quadrupole
• Pre-inflation: origin of the Universe from a topological phase transition
• Detectability of Cosmic Dark Flow in the Type Ia Supernova Redshift-Distance Relation
• $f(T)$ Cosmology with Nonzero Curvature
• $f(T,B)$ gravity in a Friedmann-Lema\^ıtre-Robertson-Walker universe with nonzero spatial curvature
• Multifractality in the general cosmological solution of Einstein's equations
• First constraints on the intrinsic CMB dipole and our velocity with Doppler and aberration