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Planck 2015 results XIV. Dark energy and modified gravity

Author(s): Planck Collaboration; Ade, PAR; Aghanim, N; Arnaud, M; Ashdown, M; et al

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dc.contributor.authorPlanck Collaboration-
dc.contributor.authorAde, PAR-
dc.contributor.authorAghanim, N-
dc.contributor.authorArnaud, M-
dc.contributor.authorAshdown, M-
dc.contributor.authorAumont, J-
dc.contributor.authorBaccigalupi, C-
dc.contributor.authorBanday, AJ-
dc.contributor.authorBarreiro, RB-
dc.contributor.authorBartolo, N-
dc.contributor.authorBattaner, E-
dc.contributor.authorBattye, R-
dc.contributor.authorBenabed, K-
dc.contributor.authorBenoit, A-
dc.contributor.authorBenoit-Levy, A-
dc.contributor.authorBernard, JP-
dc.contributor.authorBersanelli, M-
dc.contributor.authorBielewicz, P-
dc.contributor.authorBock, JJ-
dc.contributor.authorBonaldi, A-
dc.contributor.authorBonavera, L-
dc.contributor.authorBond, JR-
dc.contributor.authorBorrill, J-
dc.contributor.authorBouchet, FR-
dc.contributor.authorBucher, M-
dc.contributor.authorBurigana, C-
dc.contributor.authorButler, RC-
dc.contributor.authorCalabrese, E-
dc.contributor.authorCardoso, JF-
dc.contributor.authorCatalano, A-
dc.contributor.authorChallinor, A-
dc.contributor.authorChamballu, A-
dc.contributor.authorChiang, HC-
dc.contributor.authorChristensen, PR-
dc.contributor.authorChurch, S-
dc.contributor.authorClements, DL-
dc.contributor.authorColombi, S-
dc.contributor.authorColombo, LPL-
dc.contributor.authorCombet, C-
dc.contributor.authorCouchot, F-
dc.contributor.authorCoulais, A-
dc.contributor.authorCrill, BP-
dc.contributor.authorCurto, A-
dc.contributor.authorCuttaia, F-
dc.contributor.authorDanese, L-
dc.contributor.authorDavies, RD-
dc.contributor.authorDavis, RJ-
dc.contributor.authorde Bernardis, P-
dc.contributor.authorde Rosa, A-
dc.contributor.authorde Zotti, G-
dc.contributor.authorDelabrouille, J-
dc.contributor.authorDesert, FX-
dc.contributor.authorDiego, JM-
dc.contributor.authorDole, H-
dc.contributor.authorDonzelli, S-
dc.contributor.authorDore, O-
dc.contributor.authorDouspis, M-
dc.contributor.authorDucout, A-
dc.contributor.authorDupac, X-
dc.contributor.authorEfstathiou, G-
dc.contributor.authorElsner, F-
dc.contributor.authorEnsslin, TA-
dc.contributor.authorEriksen, HK-
dc.contributor.authorFergusson, J-
dc.contributor.authorFinelli, F-
dc.contributor.authorForni, O-
dc.contributor.authorFrailis, M-
dc.contributor.authorFraisse, AA-
dc.contributor.authorFranceschi, E-
dc.contributor.authorFrejsel, A-
dc.contributor.authorGaleotta, S-
dc.contributor.authorGalli, S-
dc.contributor.authorGanga, K-
dc.contributor.authorGiard, M-
dc.contributor.authorGiraud-Heraud, Y-
dc.contributor.authorGjerlow, E-
dc.contributor.authorGonzalez-Nuevo, J-
dc.contributor.authorGorski, KM-
dc.contributor.authorGratton, S-
dc.contributor.authorGregorio, A-
dc.contributor.authorGruppuso, A-
dc.contributor.authorGudmundsson, JE-
dc.contributor.authorHansen, FK-
dc.contributor.authorHanson, D-
dc.contributor.authorHarrison, DL-
dc.contributor.authorHeavens, A-
dc.contributor.authorHelou, G-
dc.contributor.authorHenrot-Versille, S-
dc.contributor.authorHernandez-Monteagudo, C-
dc.contributor.authorHerranz, D-
dc.contributor.authorHildebrandt, SR-
dc.contributor.authorHivon, E-
dc.contributor.authorHobson, M-
dc.contributor.authorHolmes, WA-
dc.contributor.authorHornstrup, A-
dc.contributor.authorHovest, W-
dc.contributor.authorHuang, Z-
dc.contributor.authorHuffenberger, KM-
dc.contributor.authorHurier, G-
dc.contributor.authorJaffe, AH-
dc.contributor.authorJaffe, TR-
dc.contributor.authorJones, William C-
dc.contributor.authorJuvela, M-
dc.contributor.authorKeihanen, E-
dc.contributor.authorKeskitalo, R-
dc.contributor.authorKisner, TS-
dc.contributor.authorKnoche, J-
dc.contributor.authorKunz, M-
dc.contributor.authorKurki-Suonio, H-
dc.contributor.authorLagache, G-
dc.contributor.authorLahteenmaki, A-
dc.contributor.authorLamarre, JM-
dc.contributor.authorLasenby, A-
dc.contributor.authorLattanzi, M-
dc.contributor.authorLawrence, CR-
dc.contributor.authorLeonardi, R-
dc.contributor.authorLesgourgues, J-
dc.contributor.authorLevrier, F-
dc.contributor.authorLewis, A-
dc.contributor.authorLiguori, M-
dc.contributor.authorLilje, PB-
dc.contributor.authorLinden-Vornle, M-
dc.contributor.authorLopez-Caniego, M-
dc.contributor.authorLubin, PM-
dc.contributor.authorMa, YZ-
dc.contributor.authorMacias-Perez, JF-
dc.contributor.authorMaggio, G-
dc.contributor.authorMaino, D-
dc.contributor.authorMandolesi, N-
dc.contributor.authorMangilli, A-
dc.contributor.authorMarchini, A-
dc.contributor.authorMaris, M-
dc.contributor.authorMartin, PG-
dc.contributor.authorMartinelli, M-
dc.contributor.authorMartinez-Gonzalez, E-
dc.contributor.authorMasi, S-
dc.contributor.authorMatarrese, S-
dc.contributor.authorMcGehee, P-
dc.contributor.authorMeinhold, PR-
dc.contributor.authorMelchiorri, A-
dc.contributor.authorMendes, L-
dc.contributor.authorMennella, A-
dc.contributor.authorMigliaccio, M-
dc.contributor.authorMitra, S-
dc.contributor.authorMiville-Deschenes, MA-
dc.contributor.authorMoneti, A-
dc.contributor.authorMontier, L-
dc.contributor.authorMorgante, G-
dc.contributor.authorMortlock, D-
dc.contributor.authorMoss, A-
dc.contributor.authorMunshi, D-
dc.contributor.authorMurphy, JA-
dc.contributor.authorNarimani, A-
dc.contributor.authorNaselsky, P-
dc.contributor.authorNati, F-
dc.contributor.authorNatoli, P-
dc.contributor.authorNetterfield, CB-
dc.contributor.authorNorgaard-Nielsen, HU-
dc.contributor.authorNoviello, F-
dc.contributor.authorNovikov, D-
dc.contributor.authorNovikov, I-
dc.contributor.authorOxborrow, CA-
dc.contributor.authorPaci, F-
dc.contributor.authorPagano, L-
dc.contributor.authorPajot, F-
dc.contributor.authorPaoletti, D-
dc.contributor.authorPasian, F-
dc.contributor.authorPatanchon, G-
dc.contributor.authorPearson, TJ-
dc.contributor.authorPerdereau, O-
dc.contributor.authorPerotto, L-
dc.contributor.authorPerrotta, F-
dc.contributor.authorPettorino, V-
dc.contributor.authorPiacentini, F-
dc.contributor.authorPiat, M-
dc.contributor.authorPierpaoli, E-
dc.contributor.authorPietrobon, D-
dc.contributor.authorPlaszczynski, S-
dc.contributor.authorPointecouteau, E-
dc.contributor.authorPolenta, G-
dc.contributor.authorPopa, L-
dc.contributor.authorPratt, GW-
dc.contributor.authorPrezeau, G-
dc.contributor.authorPrunet, S-
dc.contributor.authorPuget, JL-
dc.contributor.authorRachen, JP-
dc.contributor.authorReach, WT-
dc.contributor.authorRebolo, R-
dc.contributor.authorReinecke, M-
dc.contributor.authorRemazeilles, M-
dc.contributor.authorRenault, C-
dc.contributor.authorRenzi, A-
dc.contributor.authorRistorcelli, I-
dc.contributor.authorRocha, G-
dc.contributor.authorRosset, C-
dc.contributor.authorRossetti, M-
dc.contributor.authorRoudier, G-
dc.contributor.authorRowan-Robinson, M-
dc.contributor.authorRubino-Martin, JA-
dc.contributor.authorRusholme, B-
dc.contributor.authorSalvatelli, V-
dc.contributor.authorSandri, M-
dc.contributor.authorSantos, D-
dc.contributor.authorSavelainen, M-
dc.contributor.authorSavini, G-
dc.contributor.authorSchaefer, BM-
dc.contributor.authorScott, D-
dc.contributor.authorSeiffert, MD-
dc.contributor.authorShellard, EPS-
dc.contributor.authorSpencer, LD-
dc.contributor.authorStolyarov, V-
dc.contributor.authorStompor, R-
dc.contributor.authorSudiwala, R-
dc.contributor.authorSunyaev, R-
dc.contributor.authorSutton, D-
dc.contributor.authorSuur-Uski, AS-
dc.contributor.authorSygnet, JF-
dc.contributor.authorTauber, JA-
dc.contributor.authorTerenzi, L-
dc.contributor.authorToffolatti, L-
dc.contributor.authorTomasi, M-
dc.contributor.authorTristram, M-
dc.contributor.authorTucci, M-
dc.contributor.authorTuovinen, J-
dc.contributor.authorValenziano, L-
dc.contributor.authorValiviita, J-
dc.contributor.authorVan Tent, B-
dc.contributor.authorViel, M-
dc.contributor.authorVielva, P-
dc.contributor.authorVilla, F-
dc.contributor.authorWade, LA-
dc.contributor.authorWandelt, BD-
dc.contributor.authorWehus, IK-
dc.contributor.authorWhite, M-
dc.contributor.authorYvon, D-
dc.contributor.authorZacchei, A-
dc.contributor.authorZonca, A-
dc.date.accessioned2022-01-25T15:03:59Z-
dc.date.available2022-01-25T15:03:59Z-
dc.date.issued2016-09-20en_US
dc.identifier.citationPlanck Collaboration, Ade, PAR, Aghanim, N, Arnaud, M, Ashdown, M, Aumont, J, Baccigalupi, C, Banday, AJ, Barreiro, RB, Bartolo, N, Battaner, E, Battye, R, Benabed, K, Benoit, A, Benoit-Levy, A, Bernard, JP, Bersanelli, M, Bielewicz, P, Bock, JJ, Bonaldi, A, Bonavera, L, Bond, JR, Borrill, J, Bouchet, FR, Bucher, M, Burigana, C, Butler, RC, Calabrese, E, Cardoso, JF, Catalano, A, Challinor, A, Chamballu, A, Chiang, HC, Christensen, PR, Church, S, Clements, DL, Colombi, S, Colombo, LPL, Combet, C, Couchot, F, Coulais, A, Crill, BP, Curto, A, Cuttaia, F, Danese, L, Davies, RD, Davis, RJ, de Bernardis, P, de Rosa, A, de Zotti, G, Delabrouille, J, Desert, FX, Diego, JM, Dole, H, Donzelli, S, Dore, O, Douspis, M, Ducout, A, Dupac, X, Efstathiou, G, Elsner, F, Ensslin, TA, Eriksen, HK, Fergusson, J, Finelli, F, Forni, O, Frailis, M, Fraisse, AA, Franceschi, E, Frejsel, A, Galeotta, S, Galli, S, Ganga, K, Giard, M, Giraud-Heraud, Y, Gjerlow, E, Gonzalez-Nuevo, J, Gorski, KM, Gratton, S, Gregorio, A, Gruppuso, A, Gudmundsson, JE, Hansen, FK, Hanson, D, Harrison, DL, Heavens, A, Helou, G, Henrot-Versille, S, Hernandez-Monteagudo, C, Herranz, D, Hildebrandt, SR, Hivon, E, Hobson, M, Holmes, WA, Hornstrup, A, Hovest, W, Huang, Z, Huffenberger, KM, Hurier, G, Jaffe, AH, Jaffe, TR, Jones, WC, Juvela, M, Keihanen, E, Keskitalo, R, Kisner, TS, Knoche, J, Kunz, M, Kurki-Suonio, H, Lagache, G, Lahteenmaki, A, Lamarre, JM, Lasenby, A, Lattanzi, M, Lawrence, CR, Leonardi, R, Lesgourgues, J, Levrier, F, Lewis, A, Liguori, M, Lilje, PB, Linden-Vornle, M, Lopez-Caniego, M, Lubin, PM, Ma, YZ, Macias-Perez, JF, Maggio, G, Maino, D, Mandolesi, N, Mangilli, A, Marchini, A, Maris, M, Martin, PG, Martinelli, M, Martinez-Gonzalez, E, Masi, S, Matarrese, S, McGehee, P, Meinhold, PR, Melchiorri, A, Mendes, L, Mennella, A, Migliaccio, M, Mitra, S, Miville-Deschenes, MA, Moneti, A, Montier, L, Morgante, G, Mortlock, D, Moss, A, Munshi, D, Murphy, JA, Narimani, A, Naselsky, P, Nati, F, Natoli, P, Netterfield, CB, Norgaard-Nielsen, HU, Noviello, F, Novikov, D, Novikov, I, Oxborrow, CA, Paci, F, Pagano, L, Pajot, F, Paoletti, D, Pasian, F, Patanchon, G, Pearson, TJ, Perdereau, O, Perotto, L, Perrotta, F, Pettorino, V, Piacentini, F, Piat, M, Pierpaoli, E, Pietrobon, D, Plaszczynski, S, Pointecouteau, E, Polenta, G, Popa, L, Pratt, GW, Prezeau, G, Prunet, S, Puget, JL, Rachen, JP, Reach, WT, Rebolo, R, Reinecke, M, Remazeilles, M, Renault, C, Renzi, A, Ristorcelli, I, Rocha, G, Rosset, C, Rossetti, M, Roudier, G, Rowan-Robinson, M, Rubino-Martin, JA, Rusholme, B, Salvatelli, V, Sandri, M, Santos, D, Savelainen, M, Savini, G, Schaefer, BM, Scott, D, Seiffert, MD, Shellard, EPS, Spencer, LD, Stolyarov, V, Stompor, R, Sudiwala, R, Sunyaev, R, Sutton, D, Suur-Uski, AS, Sygnet, JF, Tauber, JA, Terenzi, L, Toffolatti, L, Tomasi, M, Tristram, M, Tucci, M, Tuovinen, J, Valenziano, L, Valiviita, J, Van Tent, B, Viel, M, Vielva, P, Villa, F, Wade, LA, Wandelt, BD, Wehus, IK, White, M, Yvon, D, Zacchei, A, Zonca, A. (2016). Planck 2015 results XIV. Dark energy and modified gravity. ASTRONOMY & ASTROPHYSICS, 594 (10.1051/0004-6361/201525814en_US
dc.identifier.issn0004-6361-
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr1fq9q52r-
dc.description.abstractWe study the implications of Planck data for models of dark energy (DE) and modified gravity (MG) beyond the standard cosmological constant scenario. We start with cases where the DE only directly affects the background evolution, considering Taylor expansions of the equation of state w(a), as well as principal component analysis and parameterizations related to the potential of a minimally coupled DE scalar field. When estimating the density of DE at early times, we significantly improve present constraints and find that it has to be below similar to 2% (at 95% confidence) of the critical density, even when forced to play a role for z < 50 only. We then move to general parameterizations of the DE or MG perturbations that encompass both effective field theories and the phenomenology of gravitational potentials in MG models. Lastly, we test a range of specific models, such as k-essence, f(R) theories, and coupled DE. In addition to the latest Planck data, for our main analyses, we use background constraints from baryonic acoustic oscillations, type-Ia supernovae, and local measurements of the Hubble constant. We further show the impact of measurements of the cosmological perturbations, such as redshift-space distortions and weak gravitational lensing. These additional probes are important tools for testing MG models and for breaking degeneracies that are still present in the combination of Planck and background data sets. All results that include only background parameterizations (expansion of the equation of state, early DE, general potentials in minimally-coupled scalar fields or principal component analysis) are in agreement with ACDM. When testing models that also change perturbations (even when the background is fixed to ACDM), some tensions appear in a few scenarios: the maximum one found is similar to 2 sigma for Planck TT + lowP when parameterizing observables related to the gravitational potentials with a chosen time dependence; the tension increases to, at most, 3 sigma when external data sets are included. It however disappears when including CMB lensing.en_US
dc.language.isoen_USen_US
dc.relationhttps://ui.adsabs.harvard.edu/abs/2016A%26A...594A..14P/abstracten_US
dc.relation.ispartofASTRONOMY & ASTROPHYSICSen_US
dc.rightsFinal published version. Article is made available in OAR by the publisher's permission or policy.en_US
dc.titlePlanck 2015 results XIV. Dark energy and modified gravityen_US
dc.typeJournal Articleen_US
dc.identifier.doidoi:10.1051/0004-6361/201525814-
dc.date.eissued2016-10en_US
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

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