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Article
Report number arXiv:1303.5086 ; CERN-PH-TH-2013-139 ; CERN-PH-TH-2013-139
Title Planck 2013 results. XXVI. Background geometry and topology of the Universe
Author(s)

Ade, P.A.R. (Cardiff U.) ; Aghanim, N. (Paris, Inst. Astrophys.) ; Armitage-Caplan, C. (Oxford U.) ; Arnaud, M. (DAPNIA, Saclay) ; Ashdown, M. (Cambridge U. ; Cambridge U., KICC) ; Atrio-Barandela, F. (Salamanca U.) ; Aumont, J. (Paris, Inst. Astrophys.) ; Baccigalupi, C. (SISSA, Trieste) ; Banday, A.J. (IRAP, Toulouse ; Toulouse III U.) ; Barreiro, R.B. (Cantabria Inst. of Phys.) ; Bartlett, J.G. (Caltech ; APC, Paris) ; Battaner, E. (Granada U.) ; Benabed, K. (Paris U., VI-VII ; Paris, Inst. Astrophys.) ; Benoit, A. (LPSC, Grenoble) ; Benoit-Levy, A. (Paris U., VI-VII ; Paris, Inst. Astrophys. ; University Coll. London) ; Bernard, J.P. (IRAP, Toulouse) ; Bersanelli, M. (Brera Observ. ; Milan U.) ; Bielewicz, P. (SISSA, Trieste ; IRAP, Toulouse ; Toulouse III U.) ; Bobin, J. (DAPNIA, Saclay) ; Bock, J.J. (Caltech) ; Bonaldi, A. (Manchester U.) ; Bonavera, L. (Cantabria Inst. of Phys.) ; Bond, J.R. (Canadian Inst. Theor. Astrophys.) ; Borrill, J. (UC, Berkeley ; LBL, Berkeley) ; Bouchet, F.R. (Paris U., VI-VII ; Paris, Inst. Astrophys.) ; Bridges, M. (Cambridge U., Inst. of Astron. ; Cambridge U. ; Cambridge U., KICC) ; Bucher, M. (APC, Paris) ; Burigana, C. (Ferrara U. ; Bologna Observ.) ; Butler, R.C. (Bologna Observ.) ; Cardoso, J.F. (Paris, Inst. Astrophys. ; APC, Paris ; LTCI, Paris) ; Catalano, A. (LERMA, Ivry ; LPSC, Grenoble) ; Challinor, A. (Cambridge U., DAMTP ; Cambridge U., KICC ; Cambridge U., Inst. of Astron.) ; Chamballu, A. (Paris, Inst. Astrophys. ; DAPNIA, Saclay) ; Chiang, L.Y. (Taipei, Inst. Astron. Astrophys.) ; Chiang, H.C. (KwaZulu Natal U. ; Princeton U.) ; Christensen, P.R. (Bohr Inst.) ; Church, S. (Stanford U., Phys. Dept.) ; Clements, D.L. (Imperial Coll., London) ; Colombi, S. (Paris U., VI-VII ; Paris, Inst. Astrophys.) ; Colombo, L.P.L. (Caltech ; UCLA) ; Couchot, F. (Orsay, LAL) ; Coulais, A. (LERMA, Ivry) ; Crill, B.P. (Caltech) ; Curto, A. (Cantabria Inst. of Phys. ; Cambridge U.) ; Cuttaia, F. (Bologna Observ.) ; Danese, L. (SISSA, Trieste) ; Davies, R.D. (Manchester U.) ; Davis, R.J. (Manchester U.) ; de Bernardis, P. (Rome U.) ; de Rosa, A. (Bologna Observ.) ; de Zotti, G. (SISSA, Trieste ; Padua Observ.) ; Delabrouille, J. (APC, Paris) ; Delouis, J.M. (Paris U., VI-VII ; Paris, Inst. Astrophys.) ; Desert, F.X. (Grenoble Observ.) ; Diego, J.M. (Cantabria Inst. of Phys.) ; Dole, H. (IUF, Paris ; Paris, Inst. Astrophys.) ; Donzelli, S. (Brera Observ.) ; Dore, O. (Caltech) ; Douspis, M. (Paris, Inst. Astrophys.) ; Dupac, X. (ESA, Madrid) ; Efstathiou, G. (Cambridge U., Inst. of Astron.) ; Ensslin, T.A. (Garching, Max Planck Inst.) ; Eriksen, H.K. (Oslo U.) ; Finelli, F. (INFN, Bologna ; Bologna Observ.) ; Forni, O. (IRAP, Toulouse ; Toulouse III U.) ; Frailis, M. (Trieste Observ.) ; Franceschi, E. (Bologna Observ.) ; Galeotta, S. (Trieste Observ.) ; Ganga, K. (APC, Paris) ; Giard, M. (IRAP, Toulouse ; Toulouse III U.) ; Giardino, G. (ESTEC, Noordwijk) ; Giraud-Heraud, Y. (APC, Paris) ; Gonzalez-Nuevo, J. (SISSA, Trieste ; Cantabria Inst. of Phys.) ; Gorski, K.M. (Warsaw U. ; Caltech) ; Gratton, S. (Cambridge U., Inst. of Astron. ; Cambridge U., KICC) ; Gregorio, A. (Trieste Observ. ; Trieste U.) ; Gruppuso, A. (Bologna Observ.) ; Hansen, F.K. (Oslo U.) ; Hanson, D. (Canadian Inst. Theor. Astrophys. ; Caltech ; Rutherford) ; Harrison, D. (Cambridge U., KICC ; Cambridge U., Inst. of Astron.) ; Henrot-Versille, S. (Orsay, LAL) ; Hernandez-Monteagudo, C. (Garching, Max Planck Inst. ; CEFCA, Teruel) ; Herranz, D. (Cantabria Inst. of Phys.) ; Hildebrandt, S.R. (Caltech) ; Hivon, E. (Paris U., VI-VII ; Paris, Inst. Astrophys.) ; Hobson, M. (Cambridge U.) ; Holmes, W.A. (Caltech) ; Hornstrup, A. (Denmark, Tech. U.) ; Hovest, W. (Garching, Max Planck Inst.) ; Huffenberger, K.M. (Miami U.) ; Jaffe, T.R. (IRAP, Toulouse ; Toulouse III U.) ; Jaffe, A.H. (Imperial Coll., London) ; Jones, W.C. (Princeton U.) ; Juvela, M. (Helsinki U.) ; Keihanen, E. (Helsinki U.) ; Keskitalo, R. (LBL, Berkeley ; UC, Berkeley) ; Kisner, T.S. (LBL, Berkeley) ; Knoche, J. (Garching, Max Planck Inst.) ; Knox, L. (UC, Davis) ; Kunz, M. (African Inst. Math. Sci., Cape Town ; Paris, Inst. Astrophys. ; Geneva U.) ; Kurki-Suonio, H. (Helsinki Inst. of Phys. ; Helsinki U.) ; Lagache, G. (Paris, Inst. Astrophys.) ; Lahteenmaki, A. (Helsinki Inst. of Phys. ; Aalto U.) ; Lamarre, J.M. (LERMA, Ivry) ; Lasenby, A. (Cambridge U., KICC ; Cambridge U.) ; Laureijs, R.J. (ESTEC, Noordwijk) ; Lawrence, C.R. (Caltech) ; Leahy, J.P. (Manchester U.) ; Leonardi, R. (ESA, Madrid) ; Leroy, C. (IRAP, Toulouse ; Toulouse III U. ; Paris, Inst. Astrophys.) ; Lesgourgues, J. (LPHE, Lausanne ; CERN) ; Liguori, M. (Padua U.) ; Lilje, P.B. (Oslo U.) ; Linden-Vornle, M. (Denmark, Tech. U.) ; Lopez-Caniego, M. (Cantabria Inst. of Phys.) ; Lubin, P.M. (UC, Santa Barbara) ; Macias-Perez, J.F. (LPSC, Grenoble) ; Maffei, B. (Manchester U.) ; Maino, D. (Brera Observ. ; Milan U.) ; Mandolesi, N. (Ferrara U. ; ASI, Rome ; Bologna Observ.) ; Maris, M. (Trieste Observ.) ; Marshall, D.J. (DAPNIA, Saclay) ; Martin, P.G. (Canadian Inst. Theor. Astrophys.) ; Martinez-Gonzalez, E. (Cantabria Inst. of Phys.) ; Masi, S. (Rome U.) ; Matarrese, S. (Padua U.) ; Matthai, F. (Garching, Max Planck Inst.) ; Mazzotta, P. (Rome U.) ; McEwen, J.D. (University Coll. London) ; Melchiorri, A. (INFN, Rome ; Rome U.) ; Mendes, L. (ESA, Madrid) ; Mennella, A. (Brera Observ. ; Milan U.) ; Migliaccio, M. (Cambridge U., KICC ; Cambridge U., Inst. of Astron.) ; Mitra, S. (Caltech ; Pune U.) ; Miville-Deschenes, M.A. (Canadian Inst. Theor. Astrophys. ; Paris, Inst. Astrophys.) ; Moneti, A. (Paris, Inst. Astrophys.) ; Montier, L. (IRAP, Toulouse ; Toulouse III U.) ; Morgante, G. (Bologna Observ.) ; Mortlock, D. (Imperial Coll., London) ; Moss, A. (Nottingham U.) ; Munshi, D. (Cardiff U.) ; Naselsky, P. (Bohr Inst.) ; Nati, F. (Rome U.) ; Natoli, P. (Bologna Observ. ; ASDC, Frascati ; Ferrara U.) ; Netterfield, C.B. (Toronto U.) ; Norgaard-Nielsen, H.U. (Denmark, Tech. U.) ; Noviello, F. (Manchester U.) ; Novikov, D. (Imperial Coll., London) ; Novikov, I. (Bohr Inst.) ; Osborne, S. (Stanford U., Phys. Dept.) ; Oxborrow, C.A. (Denmark, Tech. U.) ; Paci, F. (SISSA, Trieste) ; Pagano, L. (INFN, Rome ; Rome U.) ; Pajot, F. (Paris, Inst. Astrophys.) ; Paoletti, D. (INFN, Bologna ; Bologna Observ.) ; Pasian, F. (Trieste Observ.) ; Patanchon, G. (APC, Paris) ; Peiris, H.V. (University Coll. London) ; Perdereau, O. (Orsay, LAL) ; Perotto, L. (LPSC, Grenoble) ; Perrotta, F. (SISSA, Trieste) ; Piacentini, F. (Rome U.) ; Piat, M. (APC, Paris) ; Pierpaoli, E. (UCLA) ; Pietrobon, D. (Caltech) ; Plaszczynski, S. (Orsay, LAL) ; Pointecouteau, E. (IRAP, Toulouse ; Toulouse III U.) ; Pogosyan, D. (Alberta U.) ; Polenta, G. (Rome Observ. ; ASDC, Frascati) ; Ponthieu, N. (Grenoble Observ. ; Paris, Inst. Astrophys.) ; Popa, L. (Bucharest, Inst. Space Science) ; Poutanen, T. (Aalto U. ; Helsinki U. ; Helsinki Inst. of Phys.) ; Pratt, G.W. (DAPNIA, Saclay) ; Prezeau, G. (Caltech) ; Prunet, S. (Paris U., VI-VII ; Paris, Inst. Astrophys.) ; Puget, J.L. (Paris, Inst. Astrophys.) ; Rachen, J.P. (Garching, Max Planck Inst. ; Nijmegen U.) ; Rebolo, R. (Laguna U., Tenerife ; CSIC, Madrid ; IAC, La Laguna) ; Reinecke, M. (Garching, Max Planck Inst.) ; Remazeilles, M. (APC, Paris ; Paris, Inst. Astrophys.) ; Renault, C. (LPSC, Grenoble) ; Riazuelo, A. (Paris U., VI-VII ; Paris, Inst. Astrophys.) ; Ricciardi, S. (Bologna Observ.) ; Riller, T. (Garching, Max Planck Inst.) ; Ristorcelli, I. (IRAP, Toulouse ; Toulouse III U.) ; Rocha, G. (Caltech) ; Rosset, C. (APC, Paris) ; Roudier, G. (Caltech ; LERMA, Ivry ; APC, Paris) ; Rowan-Robinson, M. (Imperial Coll., London) ; Rusholme, B. (Caltech) ; Sandri, M. (Bologna Observ.) ; Santos, D. (LPSC, Grenoble) ; Savini, G. (University Coll. London) ; Scott, D. (British Columbia U.) ; Seiffert, M.D. (Caltech) ; Shellard, E.P.S. (Cambridge U., DAMTP) ; Spencer, L.D. (Cardiff U.) ; Starck, J.L. (DAPNIA, Saclay) ; Stolyarov, V. (Stavropol, Astrophys. Observ. ; Cambridge U., KICC ; Cambridge U.) ; Stompor, R. (APC, Paris) ; Sudiwala, R. (Cardiff U.) ; Sureau, F. (DAPNIA, Saclay) ; Sutton, D. (Cambridge U., KICC ; Cambridge U., Inst. of Astron.) ; Suur-Uski, A.S. (Helsinki Inst. of Phys. ; Helsinki U.) ; Sygnet, J.F. (Paris, Inst. Astrophys.) ; Tauber, J.A. (ESTEC, Noordwijk) ; Tavagnacco, D. (Trieste U. ; Trieste Observ.) ; Terenzi, L. (Bologna Observ.) ; Toffolatti, L. (Cantabria Inst. of Phys. ; Oviedo U.) ; Tomasi, M. (Brera Observ.) ; Tristram, M. (Orsay, LAL) ; Tucci, M. (Orsay, LAL ; Geneva U.) ; Tuovinen, J. (MilliLab) ; Valenziano, L. (Bologna Observ.) ; Valiviita, J. (Oslo U. ; Helsinki U. ; Helsinki Inst. of Phys.) ; Van Tent, B. (Orsay, LPT) ; Varis, J. (MilliLab) ; Vielva, P. (Cantabria Inst. of Phys.) ; Villa, F. (Bologna Observ.) ; Vittorio, N. (Rome U.) ; Wade, L.A. (Caltech) ; Wandelt, B.D. (Illinois U., Urbana ; Paris U., VI-VII ; Paris, Inst. Astrophys.) ; Yvon, D. (DAPNIA, Saclay) ; Zacchei, A. (Trieste Observ.) ; Zonca, A. (UC, Santa Barbara)

Publication 2014-10-29
Imprint 22 Mar 2013
Number of pages 23
Note Comments: 23 Pages, 23 Figures
24 Pages, 22 Figures
In: Astron. Astrophys. 571 (2014) A26
DOI 10.1051/0004-6361/201321546
Subject category Astrophysics and Astronomy
Accelerator/Facility, Experiment PLANCK RE24
Abstract Planck CMB temperature maps allow detection of large-scale departures from homogeneity and isotropy. We search for topology with a fundamental domain nearly intersecting the last scattering surface (comoving distance $\chi_r$). For most topologies studied the likelihood maximized over orientation shows some preference for multi-connected models just larger than $\chi_r$. This effect is also present in simulated realizations of isotropic maps and we interpret it as the alignment of mild anisotropic correlations with chance features in a single realization; such a feature can also exist, in milder form, when the likelihood is marginalized over orientations. Thus marginalized, the limits on the radius $R_i$ of the largest sphere inscribed in a topological domain (at log-likelihood-ratio -5) are: in a flat Universe, $R_i>0.9\chi_r$ for the cubic torus (cf. $R_i>0.9\chi_r$ at 99% CL for a matched-circles search); $R_i>0.7\chi_r$ for the chimney; $R_i>0.5\chi_r$ for the slab; in a positively curved Universe, $R_i>1.0\chi_r$ for the dodecahedron; $R_i>1.0\chi_r$ for the truncated cube; $R_i>0.9\chi_r$ for the octahedron. Similar limits apply to alternate topologies. We perform a Bayesian search for an anisotropic Bianchi VII$_h$ geometry. In a non-physical setting where the Bianchi parameters are decoupled from cosmology, Planck data favour a Bianchi component with a Bayes factor of at least 1.5 units of log-evidence: a Bianchi pattern is efficient at accounting for some large-scale anomalies in Planck data. However, the cosmological parameters are in strong disagreement with those found from CMB anisotropy data alone. In the physically motivated setting where the Bianchi parameters are fitted simultaneously with standard cosmological parameters, we find no evidence for a Bianchi VII$_h$ cosmology and constrain the vorticity of such models: $(\omega/H)_0<8\times10^{-10}$ (95% CL). [Abridged]
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 Notice créée le 2013-03-23, modifiée le 2024-05-03