The Cosmic Microwave Background for a Nearly Flat Compact Hyperbolic Universe
arXiv:astro-ph/0007264 · doi:10.1046/j.1365-8711.2001.04304.x
Abstract
The fluctuations of the cosmic microwave background (CMB) are investigated for a hyperbolic universe with finite volume. Four-component models with radiation, matter, vacuum energy, and an extra spatially constant dark energy X-component are considered. The general solution of the Friedmann equation for the cosmic scale factor a(eta) is given for the four-component models in terms of the Weierstrass P-function. The lower part of the angular power spectra C_l of the CMB anisotropy is computed for nearly flat models with Omega_tot <= 0.95. It is shown that the particular compact fundamental cell, which is considered in this paper, leads to a suppression in C_l for l<10 and Omega_tot <= 0.9.
9 pages
References in corpus (25)
- Measurements of Omega and Lambda from 42 High-Redshift Supernovae
- Cosmology and the Fate of Dilatation Symmetry
- A Flat Universe from High-Resolution Maps of the Cosmic Microwave Background Radiation
- A Dynamical Solution to the Problem of a Small Cosmological Constant and Late-time Cosmic Acceleration
- Essentials of k-essence
- MAXIMA-1: A Measurement of the Cosmic Microwave Background Anisotropy on angular scales of 10 arcminutes to 5 degrees
- Cosmic Concordance and Quintessence
- CMB Observables and Their Cosmological Implications
- New CMB constraints on the cosmic matter budget: trouble for nucleosynthesis?
- CMBFAST for spatially closed universes
- Evidence for a low-density Universe from the relative velocities of galaxies
- Characterizing the Peak in the CMB Angular Power Spectrum
- The Cosmological Constant Problems (Talk given at Dark Matter 2000, February, 2000)
- CMB Anisotropy in Compact Hyperbolic Universes I: Computing Correlation Functions
- CMB Anisotropy in Compact Hyperbolic Universes II: COBE Maps and Limits
- Boomerang returns unexpectedly
- The Fluctuations of the Cosmic Microwave Background for a Compact Hyperbolic Universe
- A small universe after all?
- A Counterexample to Claimed COBE Constraints on Compact Toroidal Universe Models
- Temperature correlations in a compact hyperbolic universe
- Curvature Dependence of Peaks in the Cosmic Microwave Background Distribution
- Using the acoustic peak to measure cosmological parameters
- New Developments in the Search for the Topology of the Universe
- The Second Peak: The Dark-Energy Density and the Cosmic Microwave Background
- Towards an accurate determination of the age of the Universe
Cited by in corpus (27)
- Dark Energy from structure: a status report
- Topology and the Cosmic Microwave Background
- CMB Anisotropy of the Poincare Dodecahedron
- On globally static and stationary cosmologies with or without a cosmological constant and the Dark Energy problem
- Do we Live in a "Small Universe"?
- Simulating Cosmic Microwave Background maps in multi-connected spaces
- Hyperbolic Universes with a Horned Topology and the CMB Anisotropy
- Detecting Topology in a Nearly Flat Spherical Universe
- Model-independent analyses of non-Gaussianity in Planck CMB maps using Minkowski Functionals
- Unexpected Topology of the Temperature Fluctuations in the Cosmic Microwave Background
- Dark Energy in a Hyperbolic Universe
- Detecting topology in a nearly flat hyperbolic universe
- Constraints on the Detectability of Cosmic Topology from Observational Uncertainties
- Topological signatures in CMB temperature anisotropy maps
- Detectability of Cosmic Topology in Flat Universes
- Quintessence with a constant equation of state in hyperbolic universes
- Lagrangian theory of structure formation in relativistic cosmology. IV. Lagrangian approach to gravitational waves
- The variance of the CMB temperature gradient: a new signature of a multiply connected Universe
- How large is our universe?
- Topology of the universe from COBE-DMR; a wavelet approach
- Numerical computation of Maass waveforms and an application to cosmology
- Foreground contamination of the WMAP CMB maps from the perspective of the matched circle test
- Parametric solution of certain nonlinear differential equations in cosmology
- Applications of Elliptic and Theta Functions to Friedmann-Robertson-Lemaitre-Walker Cosmology with Cosmological Constant
- Stochastic stabilization of cosmological photons
- The presence of Primordial Gravitational Waves in the Cosmic Microwave Background
- Parametric Solution Of Certain Nonlinear Differential Equations In Cosmology II