TY - JOUR
T1 - Spatial curvature falsifies eternal inflation
AU - Kleban, Matthew
AU - Schillo, Marjorie
PY - 2012/6
Y1 - 2012/6
N2 - Inflation creates large-scale cosmological density perturbations that are characterized by an isotropic, homogeneous, and Gaussian random distribution about a locally flat background. Even in a flat universe, the spatial curvature measured within one Hubble volume receives contributions from long wavelength perturbations, and will not in general be zero. These same perturbations determine the Cosmic Microwave Background (CMB) temperature fluctuations, which are (10 -5). Consequently, the low-l multipole moments in the CMB temperature map predict the value of the measured spatial curvature Ω k. On this basis we argue that a measurement of |Ω k| > 10 -4 would rule out slow-roll eternal inflation in our past with high confidence, while a measurement of Ω k < -10 -4 (which is positive curvature, a locally closed universe) rules out false-vacuum eternal inflation as well, at the same confidence level. In other words, negative curvature (a locally open universe) is consistent with false-vacuum eternal inflation but not with slow-roll eternal inflation, and positive curvature falsifies both. Near-future experiments will dramatically extend the sensitivity of Ω k measurements and constitute a sharp test of these predictions.
AB - Inflation creates large-scale cosmological density perturbations that are characterized by an isotropic, homogeneous, and Gaussian random distribution about a locally flat background. Even in a flat universe, the spatial curvature measured within one Hubble volume receives contributions from long wavelength perturbations, and will not in general be zero. These same perturbations determine the Cosmic Microwave Background (CMB) temperature fluctuations, which are (10 -5). Consequently, the low-l multipole moments in the CMB temperature map predict the value of the measured spatial curvature Ω k. On this basis we argue that a measurement of |Ω k| > 10 -4 would rule out slow-roll eternal inflation in our past with high confidence, while a measurement of Ω k < -10 -4 (which is positive curvature, a locally closed universe) rules out false-vacuum eternal inflation as well, at the same confidence level. In other words, negative curvature (a locally open universe) is consistent with false-vacuum eternal inflation but not with slow-roll eternal inflation, and positive curvature falsifies both. Near-future experiments will dramatically extend the sensitivity of Ω k measurements and constitute a sharp test of these predictions.
KW - CMBR theory
KW - ination
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U2 - 10.1088/1475-7516/2012/06/029
DO - 10.1088/1475-7516/2012/06/029
M3 - Article
AN - SCOPUS:84863477291
SN - 1475-7516
VL - 2012
JO - Journal of Cosmology and Astroparticle Physics
JF - Journal of Cosmology and Astroparticle Physics
IS - 6
M1 - 029
ER -