Constraining the Topology of the Universe
arXiv:astro-ph/0310233 · doi:10.1103/PhysRevLett.92.201302
Abstract
The first year data from the Wilkinson Microwave Anisotropy Probe are used to place stringent constraints on the topology of the Universe. We search for pairs of circles on the sky with similar temperature patterns along each circle. We restrict the search to back-to-back circle pairs, and to nearly back-to-back circle pairs, as this covers the majority of the topologies that one might hope to detect in a nearly flat universe. We do not find any matched circles with radius greater than 25 degrees. For a wide class of models, the non-detection rules out the possibility that we live in a universe with topology scale smaller than 24 Gpc.
arXiv commentSubmitted to PRL
References in corpus (13)
- First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
- First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
- First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Foreground Emission
- First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Tests of Gaussianity
- The significance of the largest scale CMB fluctuations in WMAP
- Dodecahedral space topology as an explanation for weak wide-angle temperature correlations in the cosmic microwave background
- GRAVITATIONAL LENSING EFFECT ON COSMIC MICROWAVE BACKGROUND ANISOTROPIES: A POWER SPECTRUM APPROACH
- Circles in the Sky: Finding Topology with the Microwave Background Radiation
- First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Data Processing Methods and Systematic Errors Limits
- Topology and the Cosmic Microwave Background
- First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Beam Profiles and Window Functions
- Detecting Topology in a Nearly Flat Spherical Universe
- Detecting topology in a nearly flat hyperbolic universe
Cited by in corpus (150)
- Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
- The axis of evil
- Dark Energy from structure: a status report
- CMB Anomalies after Planck
- Racetrack Inflation
- Large-angle anomalies in the CMB
- Cosmic Microwave Background Quadrupole and Ellipsoidal Universe
- Ellipsoidal Universe Can Solve The CMB Quadrupole Problem
- The Phantom Divide in String Gas Cosmology
- Planck 2013 results. XXVI. Background geometry and topology of the Universe
- Creation of a Compact Topologically Nontrivial Inflationary Universe
- Heisenberg Groups and Noncommutative Fluxes
- CMB multipole measurements in the presence of foregrounds
- Is the Universe odd?
- Non-commutative Renormalization
- Low-order multipole maps of CMB anisotropy derived from WMAP
- Cosmic Microwave Background, Accelerating Universe and Inhomogeneous Cosmology
- A Hint of Poincaré Dodecahedral Topology in the WMAP First Year Sky Map
- Vacuum Energy Sequestering: The Framework and Its Cosmological Consequences
- Cosmological constant, violation of cosmological isotropy and CMB
- Searching for a holographic connection between dark energy and the low-l CMB multipoles
- Planck 2015 results. XVIII. Background geometry & topology
- Statistical Isotropy of the Wilkinson Microwave Anisotropy Probe Data: A Bipolar Power Spectrum Analysis
- A Model of Universe Anisotropization
- Extending the WMAP Bound on the Size of the Universe
- How flat can you get? A model comparison perspective on the curvature of the Universe
- Fermionic Casimir effect for parallel plates in the presence of compact dimensions with applications to nanotubes
- CMB Anisotropy of the Poincare Dodecahedron
- CMB quadrupole suppression: I. Initial conditions of inflationary perturbations
- CMB Anisotropy of Spherical Spaces
- The CMB Quadrupole depression produced by early fast-roll inflation: MCMC analysis of WMAP and SDSS data
- Do we Live in a "Small Universe"?
- Temperature and Polarization CMB Maps from Primordial non-Gaussianities of the Local Type
- Remarks on the formulation of the cosmological constant/dark energy problems
- The Multipole Vectors of WMAP, and their frames and invariants
- Imprints of the Quantum World in Classical Mechanics
- Asymmetric inflation: exact solutions
- Constraints on the Topology of the Universe: Extension to General Geometries
- Generalized Chaplygin gas model, supernovae and cosmic topology
- Hyperbolic Universes with a Horned Topology and the CMB Anisotropy
- A new analysis of Poincaré dodecahedral space model
- The Effective Theory of Inflation in the Standard Model of the Universe and the CMB+LSS data analysis
- The Status of Cosmic Topology after Planck Data
- Casimir effect in de Sitter spacetime with compactified dimension
- Constraints on the topology of the Universe derived from the 7-year WMAP data
- Imprints of spherical non-trivial topologies on the CMB
- The Local Shape of the Universe in the Inflationary Limit
- Cosmology Intertwined: A Review of the Particle Physics, Astrophysics, and Cosmology Associated with the Cosmological Tensions and Anomalies
- Fermionic Casimir effect in toroidally compactified de Sitter spacetime
- Precision Cosmology
- A test of the Poincare dodecahedral space topology hypothesis with the WMAP CMB data
- Proper Size of the Visible Universe in FRW Metrics with Constant Spacetime Curvature
- Anisotropic LRS-BI Universe with gravity theory
- Observing the Dimensionality of Our Parent Vacuum
- Constraining topology in harmonic space
- The circles-in-the-sky signature for three spherical universes
- Space, matter and topology
- Cosmic microwave background multipole alignments in slab topologies
- An improved cosmic crystallography method to detect holonomies in flat spaces
- The Topology and Size of the Universe from the Cosmic Microwave Background
- What is flat ΛCDM, and may we choose it?
- Bayesian analysis of anisotropic cosmologies: Bianchi VII_h and WMAP
- Non-Random Phases in Non-Trivial Topologies
- Wightman function and vacuum densities in de Sitter spacetime with toroidally compactified dimensions
- Circles-in-the-sky searches and observable cosmic topology in a flat Universe
- A spatial correlation analysis for a toroidal universe
- Promise of Future Searches for Cosmic Topology
- Can one hear the shape of the Universe?
- The study of topology of the universe using multipole vectors
- A search for cosmic topology in the final WMAP data
- Contamination cannot explain the lack of large-scale power in the cosmic microwave background radiation
- Inflation, Large Branes, and the Shape of Space
- Orbifold Physics and de Sitter Spacetime
- Poincare dodecahedral space parameter estimates
- The spectral action and cosmic topology
- Topology beyond the horizon: how far can it be probed?
- Large Scale Plane-Mirroring in the Cosmic Microwave Background WMAP5 Maps
- An Improved Diffuse Foreground Subtraction by ILC method: CMB Map and Angular Power Spectrum using Planck and WMAP Observations
- CMB in a box: causal structure and the Fourier-Bessel expansion
- Cosmic topology. Part I. Limits on orientable Euclidean manifolds from circle searches
- On the Search for Quasar Light Echoes
- Observational constraints on modified gravity models and the Poincaré dodecahedral topology
- Probing the largest scale structure in the universe with polarization map of galaxy clusters
- Estimations of total mass and energy of the universe
- Answering a Basic Objection to Bang/Crunch Holography
- On the detectability of non-trivial topologies
- Constraining the topology of the Universe using the polarised CMB maps
- Topological censorship and chronology protection
- Topological signatures in CMB temperature anisotropy maps
- Constraints On The Topology Of The Universe From The WMAP First-Year Sky Maps
- The variance of the CMB temperature gradient: a new signature of a multiply connected Universe
- The local dust foregrounds in the microwave sky: I. Thermal emission spectra
- Acceleration of the Universe driven by the Casimir force
- Relativistic Effects of our Galaxy's Motion on Circles-in-the-sky
- APS Instability and the Topology of the Brane-World
- Cosmic topology. Part IIa. Eigenmodes, correlation matrices, and detectability of orientable Euclidean manifolds
- A small Universe
- Discrete Spectrum of Inflationary Fluctuations
- On Axial and Plane--Mirror Inhomogeneities in the WMAP3 Cosmic Microwave Background Maps
- Cosmic crystallography using short-lived objects - active galactic nuclei
- Circles-in-the-sky searches and observable cosmic topology in the inflationary limit
- What can the detection of a single pair of circles-in-the-sky tell us about the geometry and topology of the Universe ?
- Lagrange multiplier and Wess-Zumino variable as large extra dimensions in the torus universe
- Limits of the circles-in-the-sky searches in the determination of cosmic topology of nearly flat universes
- Exploring suppressed long-distance correlations as the cause of suppressed large-angle correlations
- Foreground contamination of the WMAP CMB maps from the perspective of the matched circle test
- The Hantzsche-Wendt Manifold in Cosmic Topology
- Vacuum Energy Density for Massless Scalar Fields in Flat Homogeneous Spacetime Manifolds with Nontrivial Topology
- Ellipsoidal universe in the brane world
- Cosmic Topology of Polyhedral Double-Action Manifolds
- Detectability of Cosmic Topology in Generalized Chaplygin Gas Models
- Exact Polynomial Eigenmodes for Homogeneous Spherical 3-Manifolds
- Cosmic topology. Part IIIa. Microwave background parity violation without parity-violating microphysics
- An Axisymmetric Object-Based Search for a Flat Compact Dimension
- Cosmic Topology : Twenty Years After
- Global monopoles can change Universe's topology
- Probing spatial orientability of Friedmann--Robertson--Walker spatially flat spacetime
- Orbifold Line Topology and the Cosmic Microwave Background
- Cosmic topology. Part IVa. Classification of manifolds using machine learning: a case study with small toroidal universes
- Cosmological Parameters and Cosmic Topology
- A measure on the set of compact Friedmann-Lemaitre-Robertson-Walker models
- A New Cosmological Model for the Visible Universe and its Implications
- Signatures of Spatial Curvature on Growth of Structures
- Supernovae observations and cosmic topology
- Searching for Stringy Topologies in the Cosmic Microwave Background
- How Many Universes Do There Need To Be?
- The Energy Density of "Wound" Fields in a Toroidal Universe
- Cosmic topology. Part Ic. Limits on lens spaces from circle searches
- New Geometric Representations of the CMB 2pcf
- Constraints on the cosmological density parameters and cosmic topology
- A constraint on any topological lensing hypothesis in the spherical case: it must be a root of the identity
- Cosmological principle and honeycombs
- Non-Relativistic Strings in Expanding Spacetime
- The Virtues of Frugality - Why cosmological observers should release their data slowly
- Which FLRW comoving 3-manifold is preferred observationally and theoretically?
- On the possibility for constraining cosmic topology from the celestial distribution of astronomical objects
- Wada Boundaries on a Hyperbolic Pair of Pants
- Probing time orientability of spacetime
- Effect of the cubic torus topology on cosmological perturbations
- Fermionic Casimir effect in de Sitter spacetime
- Singularities in and Stability of Ooguri-Vafa-Verlinde Cosmologies
- A cosmic hall of mirrors
- Cosmic topology. Part IIIb. Eigenmodes and correlation matrices of spin-2 perturbations in orientable Euclidean manifolds
- A coordinate-independent technique for detecting globally inhomogeneous flat topologies
- Cosmological quests in the CMB sky
- Dark energy as a spatial continuity condition
- Gods as Topological Invariants
- The Universe Originating from an Empty Planck-Size Torus
- A topological interpretation of the color charge
- Cosmic Contact Censorship