Small-Scale Cosmic Microwave Background Anisotropies as a Probe of the Geometry of the Universe

Abstract

We perform detailed calculations of cosmic microwave background (CMB) anisotropies in a CDM-dominated open universe with primordial adiabatic density perturbations for a variety of reionization histories. We show that to a great extent, the CMB anisotropies depend only on the geometry of the Universe, which in a matter dominated universe is determined by $\Omega$, and the optical depth to the surface of last scattering. In particular, the location of the primary Doppler peak depends primarily on $\Omega$ and is fairly insensitive to the other unknown parameters, such as ${\Omega }_b$, $h$, $\Lambda$, and the shape of the power spectrum. Therefore, measurements of CMB anisotropies on small scales may be used to determine $\Omega$.

arXiv comment12 pages of uuencoded PostScript

Cited by in corpus (90)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• The Cosmological Constant and Dark Energy
• Supersymmetric Dark Matter
• The Cosmological Constant
• Cosmology at Low Frequencies: The 21 cm Transition and the High-Redshift Universe
• Observational Probes of Cosmic Acceleration
• In the Beginning: The First Sources of Light and the Reionization of the Universe
• Beyond the Cosmological Standard Model
• The Cosmic Triangle: Revealing the State of the Universe
• Statistics of Cosmic Microwave Background Polarization
• A Probe of Primordial Gravity Waves and Vorticity
• Supernova Limits on the Cosmic Equation of State
• Cosmic Microwave Background Anisotropies
• The density and peculiar velocity fields of nearby galaxies
• The Physics of Cosmic Acceleration
• Cosmological-Parameter Determination with Microwave Background Maps
• Intrinsic and Extrinsic Galaxy Alignment
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Interpretation of the TT and TE Angular Power Spectrum Peaks
• Observational Signatures of the First Quasars
• Signatures of Stellar Reionization of the Universe
• Toward Understanding CMB Anisotropies and Their Implications
• A Measurement of the Angular Power Spectrum of the Anisotropy in the Cosmic Microwave Background
• Cosmic Microwave Background Fluctuations from Gravitational Waves: An Analytic Approach
• Weighing the Universe with the Cosmic Microwave Background
• Dynamical Dark Energy or Simply Cosmic Curvature?
• The Damping Tail of CMB Anisotropies
• Spintessence! New Models for Dark Matter and Dark Energy
• The Cosmic Microwave Background and Particle Physics
• Integral Solution for the Microwave Background Anisotropies in Non-fl at Universes
• The Rise of the First Stars: Supersonic Streaming, Radiative Feedback, and 21-cm Cosmology
• From Microwave Anisotropies to Cosmology
• Dark Energy and the CMB
• Detectability of Inflationary Gravitational Waves with Microwave Background Polarization
• The Beginning and Evolution of the Universe
• Cold Dark Matter Models
• The Physics and Early History of the Intergalactic Medium
• LARGE SCALE PERTURBATIONS IN THE OPEN UNIVERSE
• Expansion, Geometry, and Gravity
• Semi-analytic forecasts for JWST -- IV. Implications for cosmic reionization and LyC escape fraction
• Calculation of the Ostriker-Vishniac Effect in Cold Dark Matter Models
• The Location of CMB Peaks in a Universe with Dark Energy
• Cosmological constant vs. quintessence
• The Cosmic Microwave Background Radiation
• A Low-Density Closed Universe
• Dependence of Inflationary Reconstruction upon Cosmological Parameters
• Curvature constraints from Large Scale Structure
• CMB Temperature and Polarization Anisotropy Fundamentals
• The QMAP and MAT/TOCO Experiments for Measuring Anisotropy in the Cosmic Microwave Background
• Vacuum effects of ultra-low mass particle account for Recent Acceleration of Universe
• Testing Cosmology with Cosmic Sound Waves
• The First Stars in the Universe and Cosmic Reionization
• VSL theories and the Doppler peak
• What the small angle CMB really tells us about the curvature of the Universe
• First Results from Viper: Detection of Small-Scale Anisotropy at 40 GHZ
• Closing in on Omega_0: The Amplitude of Mass Fluctuations from Galaxy Clusters and the Lyman-alpha Forest
• The Evolution of Inverse Power Law Quintessence at Low Redshift
• From Anisotropy to Omega
• CMB Anisotropy Correlation Function and Topology from Simulated Maps for MAP
• A Model of Metallicity Evolution in the Early Universe
• Patchy Screening of the Cosmic Microwave Background by Inhomogeneous Reionization
• Observational Constraints on Open Inflation Models
• Constraints on Cosmological Parameters from the Lyman-alpha Forest Power Spectrum and COBE-DMR
• What if Planck's Universe isn't flat?
• The spectral action and cosmic topology
• Open inflation models and gravitational wave anisotropies in the CMB
• The coupling of topology and inflation in Noncommutative Cosmology
• The Cosmic Microwave Background: State of the Art
• Curvature Dependence of Peaks in the Cosmic Microwave Background Distribution
• Peering beyond the horizon with standard sirens and redshift drift
• Fast Parameter Estimation from the CMB Power Spectrum
• BAO cosmology in non-spatially flat background geometry from BOSS+eBOSS and lessons for future surveys
• Echoes of Gravity
• Complementary constraints on non-standard cosmological models from CMB and BBN
• Determining cosmic microwave background structure from its peak distribution
• Determining Cosmological Parameters from the Microwave Background
• Gravitational waves, CMB polarization, and the Hubble tension
• Microwave background anisotropies in quasiopen inflation
• Closed universe and the first Doppler-peak of the CMB spectrum
• Cosmic Confusion and Structure Formation
• The Case of the Curved Universe: Open, Closed, or Flat?
• Let there be Light: the Emergence of Structure out of the Dark Ages in the Early Universe
• Inflation: From Theory to Observation and Back
• Distances and Cosmology From Galaxy Cluster CMB Data
• THE GRISHCHUK-ZELDOVICH EFFECT IN THE OPEN UNIVERSE
• Cosmic Microwave Background Tests of Inflation
• Observations of the Cosmic Microwave Background
• Quintessence and the first Doppler peak
• Extragalactic Background Light: Measurements and Applications
• The Cosmic Microwave Background
• Cosmology in the De Donder-Weyl Formulation of Einstein-Cartan Gravity