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<i>Planck</i>2015 results

P. A. R. AdeSchool of Physics and Astronomy, Cardiff University, Queens Buildings, The Parade, Cardiff, CF24 3AA, UKN. AghanimInstitut d'Astrophysique Spatiale, CNRS, Univ. Paris-Sud, Université Paris-Saclay, Bât. 121, 91405 Orsay Cedex, FranceM. ArnaudLaboratoire AIM, IRFU/Service d'Astrophysique – CEA/DSM – CNRS – Université Paris Diderot, Bât. 709, CEA-Saclay, 91191 Gif-sur-Yvette Cedex, FranceM. AshdownKavli Institute for Cosmology Cambridge, Madingley Road, Cambridge, CB3 0HA, UKJ. AumontInstitut d'Astrophysique Spatiale, CNRS, Univ. Paris-Sud, Université Paris-Saclay, Bât. 121, 91405 Orsay Cedex, FranceC. BaccigalupiSISSA, Astrophysics Sector, via Bonomea 265, 34136, Trieste, ItalyA. J. BandayCNRS, IRAP, 9 Av. colonel Roche, BP 44346, 31028 Toulouse Cedex 4, FranceR. B. BarreiroInstituto de Física de Cantabria (CSIC-Universidad de Cantabria), Avda. de los Castros s/n, Santander, SpainN. BartoloIstituto Nazionale di Fisica Nucleare, Sezione di Padova, via Marzolo 8, 35131 Padova, ItalyE. BattanerUniversity of Granada, Departamento de Física Teórica y del Cosmos, Facultad de Ciencias, 18010 Granada, SpainRichard A. BattyeJodrell Bank Centre for Astrophysics, Alan Turing Building, School of Physics and Astronomy, The University of Manchester, Oxford Road, Manchester, M13 9PL, UKK. BenabedUPMC Univ. Paris 06, UMR7095, 98 bis Boulevard Arago, 75014 Paris, FranceA. BenoîtUPMC Univ. Paris 06, UMR7095, 98 bis Boulevard Arago, 75014 Paris, FranceA. Benoit-LévyUPMC Univ. Paris 06, UMR7095, 98 bis Boulevard Arago, 75014 Paris, FranceJ.-P. BernardCNRS, IRAP, 9 Av. colonel Roche, BP 44346, 31028 Toulouse Cedex 4, FranceM. BersanelliINAF/IASF Milano, via E. Bassini 15, Milano, ItalyP. BielewiczNicolaus Copernicus Astronomical Center, Bartycka 18, 00-716 Warsaw, PolandJ. J. BockCalifornia Institute of Technology, Pasadena, CA 91195 California, USAA. BonaldiJodrell Bank Centre for Astrophysics, Alan Turing Building, School of Physics and Astronomy, The University of Manchester, Oxford Road, Manchester, M13 9PL, UKL. BonaveraInstituto de Física de Cantabria (CSIC-Universidad de Cantabria), Avda. de los Castros s/n, Santander, SpainJ. R. BondCITA, University of Toronto, 60 St.George St., Toronto, ON M5S 3H8, CanadaJ. BorrillSpace Sciences Laboratory, University of California, Berkeley, California, USAF. R. BouchetInstitut d'Astrophysique de Paris, CNRS (UMR7095), 98 bis Boulevard Arago, 75014 Paris, FranceM. BucherAPC, AstroParticule et Cosmologie, Université Paris Diderot, CNRS/IN2P3, CEA/lrfu, Observatoire de Paris, Sorbonne Paris Cité, 10 rue Alice Domon et Léonie Duquet, 75205 Paris Cedex 13, FranceC. BuriganaINAF/IASF Bologna, via Gobetti 101, Bologna, ItalyR. C. ButlerINAF/IASF Bologna, via Gobetti 101, Bologna, ItalyE. CalabreseSub-Department of Astrophysics, University of Oxford, Keble Road, Oxford OX1 3RH, UKJ.-F. CardosoLaboratoire Traitement et Communication de l'Information, CNRS (UMR 5141) and Télécom ParisTech, 46 rue Barrault, 75634 Paris Cedex 13, FranceA. CatalanoLERMA, CNRS, Observatoire de Paris, 61 Avenue de l'Observatoire, 75000 Paris, FranceA. ChallinorKavli Institute for Cosmology Cambridge, Madingley Road, Cambridge, CB3 0HA, UKA. ChamballuLaboratoire AIM, IRFU/Service d'Astrophysique – CEA/DSM – CNRS – Université Paris Diderot, Bât. 709, CEA-Saclay, 91191 Gif-sur-Yvette Cedex, FranceH. C. ChiangAstrophysics & Cosmology Research Unit, School of Mathematics, Statistics & Computer Science, University of KwaZulu-Natal, Westville Campus, Private Bag X54001, 4000 Durban, South AfricaP. R. ChristensenS. ChurchStanford University, Dept of Physics, Varian Physics Bldg, 382 via Pueblo Mall, Stanford, California, USAD. L. ClementsImperial College London, Astrophysics group, Blackett Laboratory, Prince Consort Road, London, SW7 2AZ, UKS. ColombiUPMC Univ. Paris 06, UMR7095, 98 bis Boulevard Arago, 75014 Paris, FranceL. P. L. ColomboJet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena, California, USAC. CombetLaboratoire de Physique Subatomique et Cosmologie, Université Grenoble-Alpes, CNRS/IN2P3, 53 rue des Martyrs, 38026 Grenoble Cedex, FranceF. CouchotLAL, Université Paris-Sud, CNRS/IN2P3, Orsay, FranceA. CoulaisLERMA, CNRS, Observatoire de Paris, 61 Avenue de l'Observatoire, 75000 Paris, FranceB. P. CrillJet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena, California, USAA. CurtoInstituto de Física de Cantabria (CSIC-Universidad de Cantabria), Avda. de los Castros s/n, Santander, SpainF. CuttaiaINAF/IASF Bologna, via Gobetti 101, Bologna, ItalyL. DaneseSISSA, Astrophysics Sector, via Bonomea 265, 34136, Trieste, ItalyR. D. DaviesJodrell Bank Centre for Astrophysics, Alan Turing Building, School of Physics and Astronomy, The University of Manchester, Oxford Road, Manchester, M13 9PL, UKR. J. DavisJodrell Bank Centre for Astrophysics, Alan Turing Building, School of Physics and Astronomy, The University of Manchester, Oxford Road, Manchester, M13 9PL, UKP. de BernardisDipartimento di Fisica, Università La Sapienza, P.le A. Moro 2, Roma, ItalyA. de RosaINAF/IASF Bologna, via Gobetti 101, Bologna, ItalyG. de ZottiINAF–Osservatorio Astronomico di Padova, Vicolo dell'Osservatorio 5, Padova, ItalyJ. DelabrouilleAPC, AstroParticule et Cosmologie, Université Paris Diderot, CNRS/IN2P3, CEA/lrfu, Observatoire de Paris, Sorbonne Paris Cité, 10 rue Alice Domon et Léonie Duquet, 75205 Paris Cedex 13, FranceF.–X. DésertIPAG: Institut de Planétologie et d'Astrophysique de Grenoble, Université Grenoble Alpes, IPAGJ. M. DiegoInstituto de Física de Cantabria (CSIC-Universidad de Cantabria), Avda. de los Castros s/n, Santander, SpainH. DoleInstitut d'Astrophysique Spatiale, CNRS, Univ. Paris-Sud, Université Paris-Saclay, Bât. 121, 91405 Orsay Cedex, FranceS. DonzelliINAF/IASF Milano, via E. Bassini 15, Milano, ItalyO. DoréJet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena, California, USAM. DouspisInstitut d'Astrophysique Spatiale, CNRS, Univ. Paris-Sud, Université Paris-Saclay, Bât. 121, 91405 Orsay Cedex, FranceA. DucoutImperial College London, Astrophysics group, Blackett Laboratory, Prince Consort Road, London, SW7 2AZ, UKX. DupacEuropean Space Agency, ESAC, Planck Science Office, Camino bajo del Castillo, s/n, Urbanización Villafranca del Castillo, Villanueva de la Cañada, 28692 Madrid, SpainG. EfstathiouInstitute of Astronomy, University of Cambridge, Madingley Road, Cambridge CB3 0HA, UKF. ElsnerDepartment of Physics and Astronomy, University College London, London WC1E 6BT, UKT. A. EnßlinMax-Planck-Institut für Astrophysik, Karl-Schwarzschild-Str. 1, 85741 Garching, GermanyH. K. EriksenInstitute of Theoretical Astrophysics, University of Oslo, Blindern, 0316 Oslo, NorwayJ. FergussonCentre for Theoretical Cosmology, DAMTP, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, UKF. Finelli⋆INFN, Sezione di Bologna, via Irnerio 46, 40126 Bologna, ItalyO. ForniCNRS, IRAP, 9 Av. colonel Roche, BP 44346, 31028 Toulouse Cedex 4, FranceM. FrailisINAF–Osservatorio Astronomico di Trieste, via G.B. Tiepolo 11, Trieste, ItalyA. A. FraisseDepartment of Physics, Princeton University, NJ 08544 Princeton, New Jersey, USAE. FranceschiINAF/IASF Bologna, via Gobetti 101, Bologna, ItalyA. FrejselS. GaleottaINAF–Osservatorio Astronomico di Trieste, via G.B. Tiepolo 11, Trieste, ItalyS. GalliKavli Institute for Cosmological Physics, University of Chicago, Chicago, IL 60637, USAK. GangaAPC, AstroParticule et Cosmologie, Université Paris Diderot, CNRS/IN2P3, CEA/lrfu, Observatoire de Paris, Sorbonne Paris Cité, 10 rue Alice Domon et Léonie Duquet, 75205 Paris Cedex 13, FranceM. GiardUniversité de Toulouse, UPS-OMP, IRAP, 31028 Toulouse Cedex 4, FranceY. Giraud–HéraudAPC, AstroParticule et Cosmologie, Université Paris Diderot, CNRS/IN2P3, CEA/lrfu, Observatoire de Paris, Sorbonne Paris Cité, 10 rue Alice Domon et Léonie Duquet, 75205 Paris Cedex 13, FranceE. GjerløwInstitute of Theoretical Astrophysics, University of Oslo, Blindern, 0316 Oslo, NorwayJ. González-NuevoDepartamento de Física, Universidad de Oviedo, Avda. Calvo Sotelo s/n, 33003 Oviedo, SpainK. M. GórskiJet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena, California, USAS. GrattonInstitute of Astronomy, University of Cambridge, Madingley Road, Cambridge CB3 0HA, UKA. GregorioINAF–Osservatorio Astronomico di Trieste, via G.B. Tiepolo 11, Trieste, ItalyA. GruppusoINAF/IASF Bologna, via Gobetti 101, Bologna, ItalyJ. E. GudmundssonThe Oskar Klein Centre for Cosmoparticle Physics, Department of Physics, Stockholm University, AlbaNova, 106 91 Stockholm, SwedenF. K. HansenInstitute of Theoretical Astrophysics, University of Oslo, Blindern, 0316 Oslo, NorwayD. HansonMcGill Physics, Ernest Rutherford Physics Building, McGill University, 3600 rue University, Montréal, QC, H3A 2T8, CanadaD. L. HarrisonKavli Institute for Cosmology Cambridge, Madingley Road, Cambridge, CB3 0HA, UKAlan HeavensImperial College London, Astrophysics group, Blackett Laboratory, Prince Consort Road, London, SW7 2AZ, UKG. HelouCalifornia Institute of Technology, Pasadena, CA 91195 California, USAS. Henrot–VersilléLAL, Université Paris-Sud, CNRS/IN2P3, Orsay, FranceC. Hernández-MonteagudoMax-Planck-Institut für Astrophysik, Karl-Schwarzschild-Str. 1, 85741 Garching, GermanyD. HerranzInstituto de Física de Cantabria (CSIC-Universidad de Cantabria), Avda. de los Castros s/n, Santander, SpainS. R. HildebrandtJet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena, California, USAE. HivonInstitut d'Astrophysique de Paris, CNRS (UMR7095), 98 bis Boulevard Arago, 75014 Paris, FranceM. HobsonAstrophysics Group, Cavendish Laboratory, University of Cambridge, J J Thomson Avenue, Cambridge CB3 0HE, UKW. A. HolmesJet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena, California, USAA. HornstrupDTU Space, National Space Institute, Technical University of Denmark, Elektrovej 327, 2800 Kgs. Lyngby, DenmarkW. HovestMax-Planck-Institut für Astrophysik, Karl-Schwarzschild-Str. 1, 85741 Garching, GermanyZhiqi HuangCITA, University of Toronto, 60 St.George St., Toronto, ON M5S 3H8, CanadaK. M. HuffenbergerDepartment of Physics, Florida State University, Keen Physics Building, 77 Chieftan Way, Tallahassee, Florida, USAG. HurierInstitut d'Astrophysique Spatiale, CNRS, Univ. Paris-Sud, Université Paris-Saclay, Bât. 121, 91405 Orsay Cedex, FranceA. H. JaffeImperial College London, Astrophysics group, Blackett Laboratory, Prince Consort Road, London, SW7 2AZ, UKT. R. JaffeCNRS, IRAP, 9 Av. colonel Roche, BP 44346, 31028 Toulouse Cedex 4, France
2016en
ABI

Annotatsiya

We study the implications of Planck data for models of dark energy (DE) and modified gravity (MG), beyond the cosmological constant scenario. We start with cases where the DE only directly affects the background evolution, considering Taylor expansions of the equation of state, 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. 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 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 are in agreement with LCDM. When testing models that also change perturbations (even when the background is fixed to LCDM), some tensions appear in a few scenarios: the maximum one found is \\sim 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.

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