2012
DOI: 10.1088/1475-7516/2012/06/029
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Spatial curvature falsifies eternal inflation

Abstract: 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 O(10 −5 ). Consequently, the low-l multipole mome… Show more

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Cited by 77 publications
(84 citation statements)
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“…However, it is well known that non-zero curvature effects must be very small today to be in agreement with some observational data [25,26]. This approximate spatial flatness of the latetime universe is a prediction of most inflationary cosmologies [27][28][29][30][31]. It corresponds to Ω ≡ ρ/ρ c = 1 ± δ, where ρ is the total energy density of the universe and ρ c denotes the energy density for the flat universe, and δ is at least as large as the magnitude of any density perturbations created over large scales by inflation.…”
Section: Introductionsupporting
confidence: 68%
“…However, it is well known that non-zero curvature effects must be very small today to be in agreement with some observational data [25,26]. This approximate spatial flatness of the latetime universe is a prediction of most inflationary cosmologies [27][28][29][30][31]. It corresponds to Ω ≡ ρ/ρ c = 1 ± δ, where ρ is the total energy density of the universe and ρ c denotes the energy density for the flat universe, and δ is at least as large as the magnitude of any density perturbations created over large scales by inflation.…”
Section: Introductionsupporting
confidence: 68%
“…This has considerable value in breaking degeneracies between curvature and dark energy parameters at lower redshift, and it should be considered an important consistency check for the ΛCDM interpretation of the CMB. A clear detection of nonzero curvature would have major implications for inflation, and perhaps for quantum cosmology theories (Gott, 1982;Guth and Nomura, 2012;Kleban and Schillo, 2012). If the Alcock-Paczynski method can be applied at smaller scales to obtain a precise determination of H(z)D A (z), then the BAO values of D A (z) can also be used to improve H(z) determinations and thus the dark energy density constraints (see §7.3).…”
Section: From Bao To Dark Energymentioning
confidence: 99%
“…The current observational constraint is |Ω k | < 10 −2 . Furthermore, Guth and Nomura (2012) and Kleban and Schillo (2012) point out that observation of even a small positive curvature (Ω k < −10 −4 ) would falsify most ideas of eternal inflation, because tunneling in a landscape gives rise to open Friedmann-Robertson-Walker (FRW) universes.…”
Section: Cosmologymentioning
confidence: 99%