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      Quantum corrections to quartic inflation with a non-minimal coupling: metric vs. Palatini

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      Journal of Cosmology and Astroparticle Physics
      IOP Publishing

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          f(R) Theories Of Gravity

          Modified gravity theories have received increased attention lately due to combined motivation coming from high-energy physics, cosmology and astrophysics. Among numerous alternatives to Einstein's theory of gravity, theories which include higher order curvature invariants, and specifically the particular class of f(R) theories, have a long history. In the last five years there has been a new stimulus for their study, leading to a number of interesting results. We review here f(R) theories of gravity in an attempt to comprehensively present their most important aspects and cover the largest possible portion of the relevant literature. All known formalisms are presented -- metric, Palatini and metric-affine -- and the following topics are discussed: motivation; actions, field equations and theoretical aspects; equivalence with other theories; cosmological aspects and constraints; viability criteria; astrophysical applications.
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            Planck 2015 results. XX. Constraints on inflation

            We present the implications for cosmic inflation of the Planck measurements of the cosmic microwave background (CMB) anisotropies in both temperature and polarization based on the full Planck survey. The Planck full mission temperature data and a first release of polarization data on large angular scales measure the spectral index of curvature perturbations to be \(n_\mathrm{s} = 0.968 \pm 0.006\) and tightly constrain its scale dependence to \(d n_s/d \ln k =-0.003 \pm 0.007\) when combined with the Planck lensing likelihood. When the high-\(\ell\) polarization data is included, the results are consistent and uncertainties are reduced. The upper bound on the tensor-to-scalar ratio is \(r_{0.002} < 0.11\) (95% CL), consistent with the B-mode polarization constraint \(r< 0.12\) (95% CL) obtained from a joint BICEP2/Keck Array and Planck analysis. These results imply that \(V(\phi) \propto \phi^2\) and natural inflation are now disfavoured compared to models predicting a smaller tensor-to-scalar ratio, such as \(R^2\) inflation. Three independent methods reconstructing the primordial power spectrum are investigated. The Planck data are consistent with adiabatic primordial perturbations. We investigate inflationary models producing an anisotropic modulation of the primordial curvature power spectrum as well as generalized models of inflation not governed by a scalar field with a canonical kinetic term. The 2015 results are consistent with the 2013 analysis based on the nominal mission data.
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              Adiabatic regularization of the energy-momentum tensor of a quantized field in homogeneous spaces

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                Author and article information

                Journal
                Journal of Cosmology and Astroparticle Physics
                J. Cosmol. Astropart. Phys.
                IOP Publishing
                1475-7516
                March 01 2018
                March 16 2018
                : 2018
                : 03
                : 029
                Article
                10.1088/1475-7516/2018/03/029
                04cead46-d0fe-4710-9102-608d8cfba556
                © 2018

                http://iopscience.iop.org/info/page/text-and-data-mining

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