A coordinate-independent technique for detecting globally inhomogeneous flat topologies
arXiv:1108.4230 · doi:10.1051/0004-6361/201117845
Abstract
A flat Universe model supported by recent observations has 18 possible choices for its overall topology. To detect or exclude these possibilities is one of the most important tasks in modern cosmology, but it has been very difficult for globally inhomogeneous ones because of a long-time calculation. In this brief paper we provide an object-based 3D method to overcome the problem, as an extension of Fujii & Yoshii (2011a). Though the test depends on the observer's location in the universe, this method drastically reduces calculation times to constrain inhomogeneous topologies, and will be useful in exhaustively constraining the size of the Universe.
5 pages, 5 figures, submitted to Astronomy & Astrophysics (2011)
References in corpus (10)
- The optimal phase of the generalised Poincare dodecahedral space hypothesis implied by the spatial cross-correlation function of the WMAP sky maps
- Extending the WMAP Bound on the Size of the Universe
- Constraints on the topology of the Universe derived from the 7-year WMAP data
- A test of the Poincare dodecahedral space topology hypothesis with the WMAP CMB data
- An improved cosmic crystallography method to detect holonomies in flat spaces
- A spatial correlation analysis for a toroidal universe
- Circles-in-the-sky searches and observable cosmic topology in a flat Universe
- Poincare dodecahedral space parameter estimates
- Cosmic microwave anisotropies in an inhomogeneous compact flat universe
- On the possibility for constraining cosmic topology from the celestial distribution of astronomical objects