TY - JOUR

T1 - Constraints on the topology of the Universe

T2 - Extension to general geometries

AU - Vaudrevange, Pascal M.

AU - Starkman, Glenn D.

AU - Cornish, Neil J.

AU - Spergel, David N.

PY - 2012/10/15

Y1 - 2012/10/15

N2 - We present an update to the search for a nontrivial topology of the Universe by searching for matching circle pairs in the cosmic microwave background using the WMAP 7-year data release. We extend the existing bounds to encompass a wider range of possible topologies by searching for matching circle pairs with opening angles 10°≤α≤90° and separation angles 11°≤θ≤180°. The extended search reveals two small anomalous regions in the cosmic microwave background sky. Numerous pairs of well-matched circles are found where both circles pass through one or the other of those regions. As this is not the signature of any known manifold, but is a likely consequence of contamination in those sky regions, we repeat the search excluding circle pairs where both pass through either of the two regions. We then find no statistically significant pairs of matched circles, and so no hints of a nontrivial topology. The absence of matched circles increases the lower limit on the length of the shortest closed null geodesic that self-intersects at our location in the Universe (equivalently the injectivity radius at our location) to 98.5% of the diameter of the last scattering surface or approximately 26 Gpc. It extends the limit to any manifolds in which the intersecting arcs of said geodesic form an angle greater than 10°.

AB - We present an update to the search for a nontrivial topology of the Universe by searching for matching circle pairs in the cosmic microwave background using the WMAP 7-year data release. We extend the existing bounds to encompass a wider range of possible topologies by searching for matching circle pairs with opening angles 10°≤α≤90° and separation angles 11°≤θ≤180°. The extended search reveals two small anomalous regions in the cosmic microwave background sky. Numerous pairs of well-matched circles are found where both circles pass through one or the other of those regions. As this is not the signature of any known manifold, but is a likely consequence of contamination in those sky regions, we repeat the search excluding circle pairs where both pass through either of the two regions. We then find no statistically significant pairs of matched circles, and so no hints of a nontrivial topology. The absence of matched circles increases the lower limit on the length of the shortest closed null geodesic that self-intersects at our location in the Universe (equivalently the injectivity radius at our location) to 98.5% of the diameter of the last scattering surface or approximately 26 Gpc. It extends the limit to any manifolds in which the intersecting arcs of said geodesic form an angle greater than 10°.

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U2 - 10.1103/PhysRevD.86.083526

DO - 10.1103/PhysRevD.86.083526

M3 - Article

AN - SCOPUS:84867756206

SN - 1550-7998

VL - 86

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

IS - 8

M1 - 083526

ER -