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@article{Ade:2016:0004-6361/201525829,
author = {Ade, PAR and Aghanim, N and Arnaud, M and Ashdown, M and Aumont, J and Baccigalupi, C and Banday, AJ and Barreiro, RB and Bartolo, N and Basak, S and Battaner, E and Benabed, K and Benoît, A and Benoit-Lévy, A and Bernard, J-P and Bersanelli, M and Bielewicz, P and Bock, JJ and Bonaldi, A and Bonavera, L and Bond, JR and Borrill, J and Bouchet, FR and Bucher, M and Burigana, C and Butler, RC and Calabrese, E and Cardoso, J-F and Catalano, A and Challinor, A and Chamballu, A and Chiang, HC and Christensen, PR and Church, S and Clements, DL and Colombi, S and Colombo, LPL and Combet, C and Couchot, F and Coulais, A and Crill, BP and Curto, A and Cuttaia, F and Danese, L and Davies, RD and Davis, RJ and de, Bernardis P and de, Rosa A and de, Zotti G and Delabrouille, J and Désert, F-X and Diego, JM and Dole, H and Donzelli, S and Doré, O and Douspis, M and Ducout, A and Dupac, X and Efstathiou, G and Elsner, F and Enßlin, TA and Eriksen, HK and Feeney, S and Fergusson, J and Finelli, F an},
doi = {0004-6361/201525829},
journal = {Astronomy & Astrophysics},
pages = {A18--A18},
title = {Planck 2015 results XVIII. Background geometry and topology of the Universe},
url = {http://dx.doi.org/10.1051/0004-6361/201525829},
volume = {594},
year = {2016}
}

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TY  - JOUR
AB  - Maps of cosmic microwave background (CMB) temperature and polarization from the 2015 release of Planck data provide the highestquality full-sky view of the surface of last scattering available to date. This enables us to detect possible departures from a globally isotropic cosmology. We present the first searches using CMB polarization for correlations induced by a possible non-trivial topology with a fundamental domain that intersects, or nearly intersects, the last-scattering surface (at comoving distance χrec), both via a direct scan for matched circular patterns at the intersections and by an optimal likelihood calculation for specific topologies. We specialize to flat spaces with cubic toroidal (T3) and slab (T1) topologies, finding that explicit searches for the latter are sensitive to other topologies with antipodal symmetry. These searches yield no detection of a compact topology with a scale below the diameter of the last-scattering surface. The limits on the radius i of the largest sphere inscribed in the fundamental domain (at log-likelihood ratio Δln > −5 relative to a simply-connected flat Planck best-fit model) are: i > 0.97 χrec for the T3 cubic torus; and i > 0.56 χrec for the T1 slab. The limit for the T3 cubic torus from the matched-circles search is numerically equivalent, i > 0.97 χrec at 99% confidence level from polarization data alone. We also perform a Bayesian search for an anisotropic global Bianchi VIIh geometry. In the non-physical setting, where the Bianchi cosmology is decoupled from the standard cosmology, Planck temperature data favour the inclusion of a Bianchi component with a Bayes factor of at least 2.3 units of log-evidence. However, the cosmological parameters that generate this pattern are in strong disagreement with those found from CMB anisotropy data alone. Fitting the induced polarization pattern for this model to the Planck data requires an amplitude of −0.10 ± 0.04
AU  - Ade,PAR
AU  - Aghanim,N
AU  - Arnaud,M
AU  - Ashdown,M
AU  - Aumont,J
AU  - Baccigalupi,C
AU  - Banday,AJ
AU  - Barreiro,RB
AU  - Bartolo,N
AU  - Basak,S
AU  - Battaner,E
AU  - Benabed,K
AU  - Benoît,A
AU  - Benoit-Lévy,A
AU  - Bernard,J-P
AU  - Bersanelli,M
AU  - Bielewicz,P
AU  - Bock,JJ
AU  - Bonaldi,A
AU  - Bonavera,L
AU  - Bond,JR
AU  - Borrill,J
AU  - Bouchet,FR
AU  - Bucher,M
AU  - Burigana,C
AU  - Butler,RC
AU  - Calabrese,E
AU  - Cardoso,J-F
AU  - Catalano,A
AU  - Challinor,A
AU  - Chamballu,A
AU  - Chiang,HC
AU  - Christensen,PR
AU  - Church,S
AU  - Clements,DL
AU  - Colombi,S
AU  - Colombo,LPL
AU  - Combet,C
AU  - Couchot,F
AU  - Coulais,A
AU  - Crill,BP
AU  - Curto,A
AU  - Cuttaia,F
AU  - Danese,L
AU  - Davies,RD
AU  - Davis,RJ
AU  - de,Bernardis P
AU  - de,Rosa A
AU  - de,Zotti G
AU  - Delabrouille,J
AU  - Désert,F-X
AU  - Diego,JM
AU  - Dole,H
AU  - Donzelli,S
AU  - Doré,O
AU  - Douspis,M
AU  - Ducout,A
AU  - Dupac,X
AU  - Efstathiou,G
AU  - Elsner,F
AU  - Enßlin,TA
AU  - Eriksen,HK
AU  - Feeney,S
AU  - Fergusson,J
AU  - Finelli,F
AU  - Forni,O
AU  - Frailis,M
AU  - Fraisse,AA
AU  - Franceschi,E
AU  - Frejsel,A
AU  - Galeotta,S
AU  - Galli,S
AU  - Ganga,K
AU  - Giard,M
AU  - Giraud-Héraud,Y
AU  - Gjerløw,E
AU  - González-Nuevo,J
AU  - Górski,KM
AU  - Gratton,S
AU  - Gregorio,A
AU  - Gruppuso,A
AU  - Gudmundsson,JE
AU  - Hansen,FK
AU  - Hanson,D
AU  - Harrison,DL
AU  - Henrot-Versillé,S
AU  - Hernández-Monteagudo,C
AU  - Herranz,D
AU  - Hildebrandt,SR
AU  - Hivon,E
AU  - Hobson,M
AU  - Holmes,WA
AU  - Hornstrup,A
AU  - Hovest,W
AU  - Huffenberger,KM
AU  - Hurier,G
AU  - Jaffe,AH
AU  - Jaffe,TR
AU  - Jones,WC
AU  - Juvela,M
AU  - Keihänen,E
AU  - Keskitalo,R
AU  - Kisner,TS
AU  - Knoche,J
AU  - Kunz,M
AU  - Kurki-Suonio,H
AU  - Lagache,G
AU  - Lähteenmäki,A
AU  - Lamarre,J-M
AU  - Lasenby,A
AU  - Lattanzi,M
AU  - Lawrence,CR
AU  - Leonardi,R
AU  - Lesgourgues,J
AU  - Levrier,F
AU  - Liguori,M
AU  - Lilje,PB
AU  - Linden-Vørnle,M
AU  - López-Caniego,M
AU  - Lubin,PM
AU  - Macías-Pérez,JF
AU  - Maggio,G
AU  - Maino,D
AU  - Mandolesi,N
AU  - Mangilli,A
AU  - Maris,M
AU  - Martin,PG
AU  - Martínez-González,E
AU  - Masi,S
AU  - Matarrese,S
AU  - McEwen,JD
AU  - McGehee,P
AU  - Meinhold,PR
AU  - Melchiorri,A
AU  - Mendes,L
AU  - Mennella,A
AU  - Migliaccio,M
AU  - Mitra,S
AU  - Miville-Deschênes,M-A
AU  - Moneti,A
AU  - Montier,L
AU  - Morgante,G
AU  - Mortlock,D
AU  - Moss,A
AU  - Munshi,D
AU  - Murphy,JA
AU  - Naselsky,P
AU  - Nati,F
AU  - Natoli,P
AU  - Netterfield,CB
AU  - Nørgaard-Nielsen,HU
AU  - Noviello,F
AU  - Novikov,D
AU  - Novikov,I
AU  - Oxborrow,CA
AU  - Paci,F
AU  - Pagano,L
AU  - Pajot,F
AU  - Paoletti,D
AU  - Pasian,F
AU  - Patanchon,G
AU  - Peiris,HV
AU  - Perdereau,O
AU  - Perotto,L
AU  - Perrotta,F
AU  - Pettorino,V
AU  - Piacentini,F
AU  - Piat,M
AU  - Pierpaoli
DO  - 0004-6361/201525829
EP  - 18
PY  - 2016///
SN  - 0004-6361
SP  - 18
TI  - Planck 2015 results XVIII. Background geometry and topology of the Universe
T2  - Astronomy & Astrophysics
UR  - http://dx.doi.org/10.1051/0004-6361/201525829
UR  - http://hdl.handle.net/10044/1/43683
VL  - 594
ER  -

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