A counterexample to claimed COBE constraints on compact toroidal universe models
- 19 September 2000
- journal article
- Published by IOP Publishing in Classical and Quantum Gravity
- Vol. 17 (19) , 3951-3963
- https://doi.org/10.1088/0264-9381/17/19/301
Abstract
It has been suggested that if the Universe satisfies a flat, multiply connected, perturbed Friedmann-Lemaître model, then cosmic microwave background data from the COBE satellite implies that the minimum size of the injectivity diameter (shortest closed spatial geodesic) must be larger than about (2/5) of the horizon diameter. To show that this claim is misleading, a simple T2×R universe model of injectivity diameter a quarter of this size, i.e. a tenth of the horizon diameter, is shown to be consistent with COBE four-year observational maps of the cosmic microwave background. This is done using the identified circles principle.Keywords
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This publication has 32 references indexed in Scilit:
- The Fluctuations of the Cosmic Microwave Background for a Compact Hyperbolic UniverseThe Astrophysical Journal, 1999
- Circles in the sky: finding topology with the microwave background radiationClassical and Quantum Gravity, 1998
- Cosmic microwave background overviewClassical and Quantum Gravity, 1998
- Can COBE see the shape of the universe?Physical Review D, 1998
- On closed Einstein-de Sitter universesPhysics Letters A, 1998
- Do Lensing Statistics Rule Out a Cosmological Constant?The Astrophysical Journal, 1997
- Can the Lack of Symmetry in the COBE DMR Maps Constrain the Topology of the Universe?The Astrophysical Journal, 1996
- Looking for a Cosmological Constant with the Rees-Sciama EffectPhysical Review Letters, 1996
- Constraints on the Topology of the Universe from the 2 Year COBE DataThe Astrophysical Journal, 1995
- Cosmic temperature fluctuations from two years of COBE differential microwave radiometers observationsThe Astrophysical Journal, 1994